From 26569dfc328667d0a9b6196ebe7db014af894e22 Mon Sep 17 00:00:00 2001 From: Pete Shadbolt Date: Fri, 15 Jul 2016 14:44:40 +0100 Subject: [PATCH] Working on measure_x Added some more terms to clifford.by_name to ease lookup of complex conjugates Added GraphState.toggle_edges(), used by GraphState.measure_x Nearly finished GraphState.measure_x --- abp/build_tables.py | 8 +++--- abp/graphstate.py | 55 ++++++++++++++++++++++++++++++--------- abp/tables.py | 2 +- static/scripts/tables.js | 2 +- tests/test_measurement.py | 20 +++++++++----- 5 files changed, 63 insertions(+), 24 deletions(-) diff --git a/abp/build_tables.py b/abp/build_tables.py index 0690351..3a8d888 100644 --- a/abp/build_tables.py +++ b/abp/build_tables.py @@ -90,10 +90,11 @@ def get_unitaries(): return [compose_u(d) for d in DECOMPOSITIONS] -def get_by_name(unitaries): +def get_by_name(unitaries, conjugation_table): """ Get a lookup table of cliffords by name """ a = {name: find_clifford(u, unitaries) for name, u in qi.by_name.items()} + a.update({key+"_h": conjugation_table[value] for key, value in a.items()}) a.update({clifford.get_name(i): i for i in range(24)}) a.update({i: i for i in range(24)}) return a @@ -183,10 +184,11 @@ def get_cz_table(unitaries): def compute_everything(): """ Compute all lookup tables """ unitaries = get_unitaries() + conjugation_table = get_conjugation_table(unitaries) return {"decompositions": DECOMPOSITIONS, "unitaries": unitaries, - "by_name": get_by_name(unitaries), - "conjugation_table": get_conjugation_table(unitaries), + "by_name": get_by_name(unitaries, conjugation_table), + "conjugation_table": conjugation_table, "times_table": get_times_table(unitaries), "cz_table": get_cz_table(unitaries), "measurement_table": get_measurement_table()} diff --git a/abp/graphstate.py b/abp/graphstate.py index 118c33e..4e7ebc1 100644 --- a/abp/graphstate.py +++ b/abp/graphstate.py @@ -78,12 +78,10 @@ class GraphState(object): for i, j in it.combinations(self.adj[v], 2): self.toggle_edge(i, j) - msqx_h = clifford.conjugation_table[clifford.by_name["msqx"]] - sqz_h = clifford.conjugation_table[clifford.by_name["sqz"]] - self.node[v]["vop"] = clifford.times_table[self.node[v]["vop"], msqx_h] + self.node[v]["vop"] = clifford.times_table[self.node[v]["vop"], clifford.by_name["msqx_h"]] for i in self.adj[v]: self.node[i]["vop"] = clifford.times_table[ - self.node[i]["vop"], sqz_h] + self.node[i]["vop"], clifford.by_name["sqz_h"]] def act_local_rotation(self, v, op): """ Act a local rotation """ @@ -137,30 +135,54 @@ class GraphState(object): # TODO: put the asserts from graphsim.cpp into tests return res + def measure_x(self, node, force=None): + """ Measure the graph in the X-basis """ + if len(self.adj[node]) == 0: + return 0 + + # Flip a coin + result = force if force != None else random.choice([0, 1]) + + # Pick a vertex + friend = next(self.adj[node].iterkeys()) + + if not result: + # Do a z on all ngb(v) \ ngb(vb) \ {vb}, and sqy on the friend + self.act_local_rotation(friend, "sqy") + for n in set(self.adj[node]) - set(self.adj(friend)) - {friend}: + self.act_local_rotation(n, "pz") + else: + # Do a z on all ngb(vb) \ ngb(v) \ {v}, and some other stuff + self.act_local_rotation(node, "pz") + self.act_local_rotation(friend, "msqy") + for n in set(self.adj[friend]) - set(self.adj(node)) - {node}: + self.act_local_rotation(n, "pz") + + # TODO: the really nasty bit + + def measure_y(self, node, force=None): """ Measure the graph in the Y-basis """ + # Flip a coin result = force if force != None else random.choice([0, 1]) # Do some rotations - rotation = clifford.conjugate("sqz" if result else "msqz") for neighbour in self.adj[node]: - self.act_local_rotation(neighbour, rotation) + # NB: should these be hermitian_conjugated? + self.act_local_rotation(neighbour, "sqz" if result else "msqz") # A sort of local complementation - vngbh = set(self.adj[node]) + {node} + vngbh = set(self.adj[node]) | {node} for i, j in it.combinations(vngbh, 2): self.toggle_edge(i, j) - if result: - self.act_local_rotation(node, "msqz") - else: - self.act_local_rotation(node, clifford.conjugate("msqz")) + self.act_local_rotation(node, "msqz" if result else "msqz_h") return result - def measure_z(self, node, force=None): """ Measure the graph in the Z-basis """ + # Flip a coin result = force if force != None else random.choice([0, 1]) # Disconnect @@ -176,6 +198,15 @@ class GraphState(object): self.act_local_rotation(node, "hadamard") return result + def toggle_edge(a, b): + """ Toggle edges between vertex sets a and b """ + done = {} + for i, j in it.product(a, b): + if i==j and not (i, j) in done: + done.add((i, j)) + self.toggle_edge(i, j) + + def order(self): """ Get the number of qubits """ return len(self.node) diff --git a/abp/tables.py b/abp/tables.py index fa46d92..39e80e4 100644 --- a/abp/tables.py +++ b/abp/tables.py @@ -6,7 +6,7 @@ decompositions = ["xxxx", "xx", "zzxx", "zz", "zxx", "z", "zzz", "xxz", "xzx", " conjugation_table = np.array([0, 1, 2, 3, 4, 6, 5, 7, 8, 11, 10, 9, 12, 13, 15, 14, 20, 22, 23, 21, 16, 19, 17, 18], dtype=int) times_table = np.array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23], [1, 0, 3, 2, 6, 7, 4, 5, 11, 10, 9, 8, 13, 12, 15, 14, 19, 18, 17, 16, 22, 23, 20, 21], [2, 3, 0, 1, 5, 4, 7, 6, 10, 11, 8, 9, 15, 14, 13, 12, 17, 16, 19, 18, 23, 22, 21, 20], [3, 2, 1, 0, 7, 6, 5, 4, 9, 8, 11, 10, 14, 15, 12, 13, 18, 19, 16, 17, 21, 20, 23, 22], [4, 5, 6, 7, 0, 1, 2, 3, 20, 21, 22, 23, 16, 17, 18, 19, 12, 13, 14, 15, 8, 9, 10, 11], [5, 4, 7, 6, 2, 3, 0, 1, 23, 22, 21, 20, 17, 16, 19, 18, 15, 14, 13, 12, 10, 11, 8, 9], [6, 7, 4, 5, 1, 0, 3, 2, 22, 23, 20, 21, 19, 18, 17, 16, 13, 12, 15, 14, 11, 10, 9, 8], [7, 6, 5, 4, 3, 2, 1, 0, 21, 20, 23, 22, 18, 19, 16, 17, 14, 15, 12, 13, 9, 8, 11, 10], [8, 9, 10, 11, 16, 17, 18, 19, 0, 1, 2, 3, 20, 21, 22, 23, 4, 5, 6, 7, 12, 13, 14, 15], [9, 8, 11, 10, 18, 19, 16, 17, 3, 2, 1, 0, 21, 20, 23, 22, 7, 6, 5, 4, 14, 15, 12, 13], [10, 11, 8, 9, 17, 16, 19, 18, 2, 3, 0, 1, 23, 22, 21, 20, 5, 4, 7, 6, 15, 14, 13, 12], [11, 10, 9, 8, 19, 18, 17, 16, 1, 0, 3, 2, 22, 23, 20, 21, 6, 7, 4, 5, 13, 12, 15, 14], [12, 13, 14, 15, 20, 21, 22, 23, 16, 17, 18, 19, 0, 1, 2, 3, 8, 9, 10, 11, 4, 5, 6, 7], [13, 12, 15, 14, 22, 23, 20, 21, 19, 18, 17, 16, 1, 0, 3, 2, 11, 10, 9, 8, 6, 7, 4, 5], [14, 15, 12, 13, 21, 20, 23, 22, 18, 19, 16, 17, 3, 2, 1, 0, 9, 8, 11, 10, 7, 6, 5, 4], [15, 14, 13, 12, 23, 22, 21, 20, 17, 16, 19, 18, 2, 3, 0, 1, 10, 11, 8, 9, 5, 4, 7, 6], [16, 17, 18, 19, 8, 9, 10, 11, 12, 13, 14, 15, 4, 5, 6, 7, 20, 21, 22, 23, 0, 1, 2, 3], [17, 16, 19, 18, 10, 11, 8, 9, 15, 14, 13, 12, 5, 4, 7, 6, 23, 22, 21, 20, 2, 3, 0, 1], [18, 19, 16, 17, 9, 8, 11, 10, 14, 15, 12, 13, 7, 6, 5, 4, 21, 20, 23, 22, 3, 2, 1, 0], [19, 18, 17, 16, 11, 10, 9, 8, 13, 12, 15, 14, 6, 7, 4, 5, 22, 23, 20, 21, 1, 0, 3, 2], [20, 21, 22, 23, 12, 13, 14, 15, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 16, 17, 18, 19], [21, 20, 23, 22, 14, 15, 12, 13, 7, 6, 5, 4, 9, 8, 11, 10, 3, 2, 1, 0, 18, 19, 16, 17], [22, 23, 20, 21, 13, 12, 15, 14, 6, 7, 4, 5, 11, 10, 9, 8, 1, 0, 3, 2, 19, 18, 17, 16], [23, 22, 21, 20, 15, 14, 13, 12, 5, 4, 7, 6, 10, 11, 8, 9, 2, 3, 0, 1, 17, 16, 19, 18]], dtype=int) cz_table = np.array([[[[1, 0, 0], [1, 0, 0], [1, 0, 3], [1, 0, 3], [1, 0, 5], [1, 0, 5], [1, 0, 6], [1, 0, 6], [0, 3, 8], [0, 3, 8], [0, 0, 10], [0, 0, 10], [1, 0, 3], [1, 0, 3], [1, 0, 0], [1, 0, 0], [1, 0, 6], [1, 0, 6], [1, 0, 5], [1, 0, 5], [0, 0, 10], [0, 0, 10], [0, 3, 8], [0, 3, 8]], [[1, 0, 0], [1, 0, 0], [1, 0, 3], [1, 0, 3], [1, 0, 5], [1, 0, 5], [1, 0, 6], [1, 0, 6], [0, 2, 8], [0, 2, 8], [0, 0, 10], [0, 0, 10], [1, 0, 3], [1, 0, 3], [1, 0, 0], [1, 0, 0], [1, 0, 6], [1, 0, 6], [1, 0, 5], [1, 0, 5], [0, 0, 10], [0, 0, 10], [0, 2, 8], [0, 2, 8]], [[1, 3, 0], [1, 3, 0], [1, 2, 0], [1, 2, 0], [1, 0, 4], [1, 2, 6], [1, 2, 5], [1, 0, 7], [0, 0, 8], [0, 0, 8], [0, 2, 10], [0, 2, 10], [1, 0, 2], [1, 0, 2], [1, 0, 1], [1, 0, 1], [1, 0, 7], [1, 0, 7], [1, 0, 4], [1, 0, 4], [0, 2, 10], [0, 2, 10], [0, 0, 8], [0, 0, 8]], [[1, 3, 0], [1, 3, 0], [1, 0, 2], [1, 3, 3], [1, 0, 4], [1, 3, 5], [1, 3, 6], [1, 0, 7], [0, 0, 8], [0, 0, 8], [0, 3, 10], [0, 3, 10], [1, 0, 2], [1, 0, 2], [1, 0, 1], [1, 0, 1], [1, 0, 7], [1, 0, 7], [1, 0, 4], [1, 0, 4], [0, 3, 10], [0, 3, 10], [0, 0, 8], [0, 0, 8]], [[1, 5, 0], [1, 5, 0], [1, 4, 0], [1, 4, 0], [1, 19, 0], [1, 4, 6], [1, 4, 5], [1, 0, 17], [0, 6, 8], [0, 6, 8], [0, 4, 10], [0, 4, 10], [1, 0, 12], [1, 0, 12], [1, 0, 14], [1, 0, 14], [1, 0, 17], [1, 0, 17], [1, 0, 19], [1, 0, 19], [0, 4, 10], [0, 4, 10], [0, 6, 8], [0, 6, 8]], [[1, 5, 0], [1, 5, 0], [1, 6, 2], [1, 5, 3], [1, 6, 4], [1, 5, 5], [1, 5, 6], [1, 0, 17], [0, 6, 8], [0, 6, 8], [0, 5, 10], [0, 5, 10], [1, 0, 12], [1, 0, 12], [1, 0, 14], [1, 0, 14], [1, 0, 17], [1, 0, 17], [1, 0, 19], [1, 0, 19], [0, 5, 10], [0, 5, 10], [0, 6, 8], [0, 6, 8]], [[1, 6, 0], [1, 6, 0], [1, 5, 2], [1, 6, 3], [1, 5, 4], [1, 6, 5], [1, 6, 6], [1, 0, 16], [0, 5, 8], [0, 5, 8], [0, 6, 10], [0, 6, 10], [1, 0, 13], [1, 0, 13], [1, 0, 15], [1, 0, 15], [1, 0, 16], [1, 0, 16], [1, 0, 18], [1, 0, 18], [0, 6, 10], [0, 6, 10], [0, 5, 8], [0, 5, 8]], [[1, 6, 0], [1, 6, 0], [1, 7, 0], [1, 7, 0], [1, 17, 0], [1, 17, 0], [1, 16, 0], [1, 16, 0], [0, 4, 8], [0, 4, 8], [0, 6, 10], [0, 6, 10], [1, 0, 13], [1, 0, 13], [1, 0, 15], [1, 0, 15], [1, 0, 16], [1, 0, 16], [1, 0, 18], [1, 0, 18], [0, 6, 10], [0, 6, 10], [0, 4, 8], [0, 4, 8]], [[0, 8, 3], [0, 8, 2], [0, 8, 0], [0, 8, 0], [0, 8, 6], [0, 8, 6], [0, 8, 5], [0, 8, 4], [0, 8, 8], [0, 8, 8], [0, 8, 10], [0, 8, 10], [0, 8, 0], [0, 8, 0], [0, 8, 2], [0, 8, 2], [0, 8, 4], [0, 8, 4], [0, 8, 6], [0, 8, 6], [0, 8, 10], [0, 8, 10], [0, 8, 8], [0, 8, 8]], [[0, 8, 3], [0, 8, 2], [0, 8, 0], [0, 8, 0], [0, 8, 6], [0, 8, 6], [0, 8, 5], [0, 8, 4], [0, 8, 8], [0, 8, 8], [0, 8, 10], [0, 8, 10], [0, 8, 0], [0, 8, 0], [0, 8, 2], [0, 8, 2], [0, 8, 4], [0, 8, 4], [0, 8, 6], [0, 8, 6], [0, 8, 10], [0, 8, 10], [0, 8, 8], [0, 8, 8]], [[0, 10, 0], [0, 10, 0], [0, 10, 2], [0, 10, 3], [0, 10, 4], [0, 10, 5], [0, 10, 6], [0, 10, 6], [0, 10, 8], [0, 10, 8], [0, 10, 10], [0, 10, 10], [0, 10, 2], [0, 10, 2], [0, 10, 0], [0, 10, 0], [0, 10, 6], [0, 10, 6], [0, 10, 4], [0, 10, 4], [0, 10, 10], [0, 10, 10], [0, 10, 8], [0, 10, 8]], [[0, 10, 0], [0, 10, 0], [0, 10, 2], [0, 10, 3], [0, 10, 4], [0, 10, 5], [0, 10, 6], [0, 10, 6], [0, 10, 8], [0, 10, 8], [0, 10, 10], [0, 10, 10], [0, 10, 2], [0, 10, 2], [0, 10, 0], [0, 10, 0], [0, 10, 6], [0, 10, 6], [0, 10, 4], [0, 10, 4], [0, 10, 10], [0, 10, 10], [0, 10, 8], [0, 10, 8]], [[1, 3, 0], [1, 3, 0], [1, 2, 0], [1, 2, 0], [1, 12, 0], [1, 12, 0], [1, 13, 0], [1, 13, 0], [0, 0, 8], [0, 0, 8], [0, 2, 10], [0, 2, 10], [1, 2, 0], [1, 0, 2], [1, 0, 1], [1, 0, 1], [1, 0, 7], [1, 0, 7], [1, 0, 4], [1, 0, 4], [0, 2, 10], [0, 2, 10], [0, 0, 8], [0, 0, 8]], [[1, 3, 0], [1, 3, 0], [1, 2, 0], [1, 2, 0], [1, 12, 0], [1, 12, 0], [1, 13, 0], [1, 13, 0], [0, 0, 8], [0, 0, 8], [0, 2, 10], [0, 2, 10], [1, 2, 0], [1, 2, 0], [1, 0, 1], [1, 0, 1], [1, 0, 7], [1, 0, 7], [1, 0, 4], [1, 0, 4], [0, 2, 10], [0, 2, 10], [0, 0, 8], [0, 0, 8]], [[1, 0, 0], [1, 0, 0], [1, 1, 0], [1, 1, 0], [1, 14, 0], [1, 14, 0], [1, 15, 0], [1, 15, 0], [0, 2, 8], [0, 2, 8], [0, 0, 10], [0, 0, 10], [1, 1, 0], [1, 1, 0], [1, 0, 0], [1, 0, 0], [1, 0, 6], [1, 0, 6], [1, 0, 5], [1, 0, 5], [0, 0, 10], [0, 0, 10], [0, 2, 8], [0, 2, 8]], [[1, 0, 0], [1, 0, 0], [1, 1, 0], [1, 1, 0], [1, 14, 0], [1, 14, 0], [1, 15, 0], [1, 15, 0], [0, 2, 8], [0, 2, 8], [0, 0, 10], [0, 0, 10], [1, 1, 0], [1, 1, 0], [1, 0, 0], [1, 0, 0], [1, 0, 6], [1, 0, 6], [1, 0, 5], [1, 0, 5], [0, 0, 10], [0, 0, 10], [0, 2, 8], [0, 2, 8]], [[1, 6, 0], [1, 6, 0], [1, 7, 0], [1, 7, 0], [1, 17, 0], [1, 17, 0], [1, 16, 0], [1, 16, 0], [0, 4, 8], [0, 4, 8], [0, 6, 10], [0, 6, 10], [1, 7, 0], [1, 7, 0], [1, 6, 0], [1, 6, 0], [1, 16, 0], [1, 0, 16], [1, 0, 18], [1, 0, 18], [0, 6, 10], [0, 6, 10], [0, 4, 8], [0, 4, 8]], [[1, 6, 0], [1, 6, 0], [1, 7, 0], [1, 7, 0], [1, 17, 0], [1, 17, 0], [1, 16, 0], [1, 16, 0], [0, 4, 8], [0, 4, 8], [0, 6, 10], [0, 6, 10], [1, 7, 0], [1, 7, 0], [1, 6, 0], [1, 6, 0], [1, 16, 0], [1, 16, 0], [1, 0, 18], [1, 0, 18], [0, 6, 10], [0, 6, 10], [0, 4, 8], [0, 4, 8]], [[1, 5, 0], [1, 5, 0], [1, 4, 0], [1, 4, 0], [1, 19, 0], [1, 19, 0], [1, 18, 0], [1, 18, 0], [0, 6, 8], [0, 6, 8], [0, 4, 10], [0, 4, 10], [1, 4, 0], [1, 4, 0], [1, 5, 0], [1, 5, 0], [1, 18, 0], [1, 18, 0], [1, 19, 0], [1, 0, 19], [0, 4, 10], [0, 4, 10], [0, 6, 8], [0, 6, 8]], [[1, 5, 0], [1, 5, 0], [1, 4, 0], [1, 4, 0], [1, 19, 0], [1, 19, 0], [1, 18, 0], [1, 18, 0], [0, 6, 8], [0, 6, 8], [0, 4, 10], [0, 4, 10], [1, 4, 0], [1, 4, 0], [1, 5, 0], [1, 5, 0], [1, 18, 0], [1, 18, 0], [1, 19, 0], [1, 19, 0], [0, 4, 10], [0, 4, 10], [0, 6, 8], [0, 6, 8]], [[0, 10, 0], [0, 10, 0], [0, 10, 2], [0, 10, 3], [0, 10, 4], [0, 10, 5], [0, 10, 6], [0, 10, 6], [0, 10, 8], [0, 10, 8], [0, 10, 10], [0, 10, 10], [0, 10, 2], [0, 10, 2], [0, 10, 0], [0, 10, 0], [0, 10, 6], [0, 10, 6], [0, 10, 4], [0, 10, 4], [0, 10, 10], [0, 10, 10], [0, 10, 8], [0, 10, 8]], [[0, 10, 0], [0, 10, 0], [0, 10, 2], [0, 10, 3], [0, 10, 4], [0, 10, 5], [0, 10, 6], [0, 10, 6], [0, 10, 8], [0, 10, 8], [0, 10, 10], [0, 10, 10], [0, 10, 2], [0, 10, 2], [0, 10, 0], [0, 10, 0], [0, 10, 6], [0, 10, 6], [0, 10, 4], [0, 10, 4], [0, 10, 10], [0, 10, 10], [0, 10, 8], [0, 10, 8]], [[0, 8, 3], [0, 8, 2], [0, 8, 0], [0, 8, 0], [0, 8, 6], [0, 8, 6], [0, 8, 5], [0, 8, 4], [0, 8, 8], [0, 8, 8], [0, 8, 10], [0, 8, 10], [0, 8, 0], [0, 8, 0], [0, 8, 2], [0, 8, 2], [0, 8, 4], [0, 8, 4], [0, 8, 6], [0, 8, 6], [0, 8, 10], [0, 8, 10], [0, 8, 8], [0, 8, 8]], [[0, 8, 3], [0, 8, 2], [0, 8, 0], [0, 8, 0], [0, 8, 6], [0, 8, 6], [0, 8, 5], [0, 8, 4], [0, 8, 8], [0, 8, 8], [0, 8, 10], [0, 8, 10], [0, 8, 0], [0, 8, 0], [0, 8, 2], [0, 8, 2], [0, 8, 4], [0, 8, 4], [0, 8, 6], [0, 8, 6], [0, 8, 10], [0, 8, 10], [0, 8, 8], [0, 8, 8]]], [[[0, 0, 0], [0, 3, 0], [0, 3, 2], [0, 0, 3], [0, 3, 4], [0, 0, 5], [0, 0, 6], [0, 3, 6], [1, 0, 8], [1, 0, 9], [1, 0, 11], [1, 0, 10], [0, 5, 2], [0, 6, 2], [0, 5, 0], [0, 6, 0], [0, 6, 6], [0, 5, 6], [0, 6, 4], [0, 5, 4], [1, 0, 21], [1, 0, 20], [1, 0, 22], [1, 0, 23]], [[0, 0, 3], [0, 2, 2], [0, 2, 0], [0, 0, 0], [0, 2, 6], [0, 0, 6], [0, 0, 5], [0, 2, 4], [1, 0, 10], [1, 0, 11], [1, 0, 9], [1, 0, 8], [0, 6, 0], [0, 4, 0], [0, 6, 2], [0, 4, 2], [0, 4, 4], [0, 6, 4], [0, 4, 6], [0, 6, 6], [1, 0, 23], [1, 0, 22], [1, 0, 20], [1, 0, 21]], [[0, 2, 3], [0, 0, 2], [0, 0, 0], [0, 2, 0], [0, 0, 6], [0, 2, 6], [0, 2, 5], [0, 0, 4], [1, 0, 11], [1, 0, 10], [1, 0, 8], [1, 0, 9], [0, 4, 0], [0, 6, 0], [0, 4, 2], [0, 6, 2], [0, 6, 4], [0, 4, 4], [0, 6, 6], [0, 4, 6], [1, 0, 22], [1, 0, 23], [1, 0, 21], [1, 0, 20]], [[0, 3, 0], [0, 0, 0], [0, 0, 2], [0, 3, 3], [0, 0, 4], [0, 3, 5], [0, 3, 6], [0, 0, 6], [1, 0, 9], [1, 0, 8], [1, 0, 10], [1, 0, 11], [0, 6, 2], [0, 5, 2], [0, 6, 0], [0, 5, 0], [0, 5, 6], [0, 6, 6], [0, 5, 4], [0, 6, 4], [1, 0, 20], [1, 0, 21], [1, 0, 23], [1, 0, 22]], [[0, 4, 3], [0, 6, 2], [0, 6, 0], [0, 4, 0], [0, 6, 6], [0, 4, 6], [0, 4, 5], [0, 6, 4], [1, 0, 21], [1, 0, 20], [1, 0, 23], [1, 0, 22], [0, 0, 0], [0, 2, 0], [0, 0, 2], [0, 2, 2], [0, 2, 4], [0, 0, 4], [0, 2, 6], [0, 0, 6], [1, 0, 8], [1, 0, 9], [1, 0, 10], [1, 0, 11]], [[0, 5, 0], [0, 6, 0], [0, 6, 2], [0, 5, 3], [0, 6, 4], [0, 5, 5], [0, 5, 6], [0, 6, 6], [1, 0, 22], [1, 0, 23], [1, 0, 20], [1, 0, 21], [0, 3, 2], [0, 0, 2], [0, 3, 0], [0, 0, 0], [0, 0, 6], [0, 3, 6], [0, 0, 4], [0, 3, 4], [1, 0, 11], [1, 0, 10], [1, 0, 9], [1, 0, 8]], [[0, 6, 0], [0, 5, 0], [0, 5, 2], [0, 6, 3], [0, 5, 4], [0, 6, 5], [0, 6, 6], [0, 5, 6], [1, 0, 23], [1, 0, 22], [1, 0, 21], [1, 0, 20], [0, 0, 2], [0, 3, 2], [0, 0, 0], [0, 3, 0], [0, 3, 6], [0, 0, 6], [0, 3, 4], [0, 0, 4], [1, 0, 10], [1, 0, 11], [1, 0, 8], [1, 0, 9]], [[0, 6, 3], [0, 4, 2], [0, 4, 0], [0, 6, 0], [0, 4, 6], [0, 6, 6], [0, 6, 5], [0, 4, 4], [1, 0, 20], [1, 0, 21], [1, 0, 22], [1, 0, 23], [0, 2, 0], [0, 0, 0], [0, 2, 2], [0, 0, 2], [0, 0, 4], [0, 2, 4], [0, 0, 6], [0, 2, 6], [1, 0, 9], [1, 0, 8], [1, 0, 11], [1, 0, 10]], [[1, 8, 0], [1, 10, 0], [1, 11, 0], [1, 9, 0], [1, 21, 0], [1, 22, 0], [1, 23, 0], [1, 20, 0], [0, 0, 0], [0, 0, 2], [0, 2, 2], [0, 2, 0], [0, 6, 6], [0, 4, 4], [0, 6, 4], [0, 4, 6], [0, 4, 2], [0, 6, 0], [0, 4, 0], [0, 6, 2], [0, 2, 4], [0, 2, 6], [0, 0, 6], [0, 0, 4]], [[1, 9, 0], [1, 11, 0], [1, 10, 0], [1, 8, 0], [1, 20, 0], [1, 23, 0], [1, 22, 0], [1, 21, 0], [0, 2, 0], [0, 2, 2], [0, 0, 2], [0, 0, 0], [0, 4, 6], [0, 6, 4], [0, 4, 4], [0, 6, 6], [0, 6, 2], [0, 4, 0], [0, 6, 0], [0, 4, 2], [0, 0, 4], [0, 0, 6], [0, 2, 6], [0, 2, 4]], [[1, 11, 0], [1, 9, 0], [1, 8, 0], [1, 10, 0], [1, 23, 0], [1, 20, 0], [1, 21, 0], [1, 22, 0], [0, 2, 2], [0, 2, 0], [0, 0, 0], [0, 0, 2], [0, 6, 4], [0, 4, 6], [0, 6, 6], [0, 4, 4], [0, 4, 0], [0, 6, 2], [0, 4, 2], [0, 6, 0], [0, 0, 6], [0, 0, 4], [0, 2, 4], [0, 2, 6]], [[1, 10, 0], [1, 8, 0], [1, 9, 0], [1, 11, 0], [1, 22, 0], [1, 21, 0], [1, 20, 0], [1, 23, 0], [0, 0, 2], [0, 0, 0], [0, 2, 0], [0, 2, 2], [0, 4, 4], [0, 6, 6], [0, 4, 6], [0, 6, 4], [0, 6, 0], [0, 4, 2], [0, 6, 2], [0, 4, 0], [0, 2, 6], [0, 2, 4], [0, 0, 4], [0, 0, 6]], [[0, 2, 5], [0, 0, 6], [0, 0, 4], [0, 2, 6], [0, 0, 0], [0, 2, 3], [0, 2, 0], [0, 0, 2], [0, 6, 6], [0, 6, 4], [0, 4, 6], [0, 4, 4], [1, 21, 0], [1, 0, 22], [1, 0, 20], [1, 0, 23], [1, 0, 8], [1, 0, 11], [1, 0, 9], [1, 0, 10], [0, 4, 2], [0, 4, 0], [0, 6, 2], [0, 6, 0]], [[0, 2, 6], [0, 0, 4], [0, 0, 6], [0, 2, 5], [0, 0, 2], [0, 2, 0], [0, 2, 3], [0, 0, 0], [0, 4, 4], [0, 4, 6], [0, 6, 4], [0, 6, 6], [1, 22, 0], [1, 20, 0], [1, 0, 22], [1, 0, 21], [1, 0, 10], [1, 0, 9], [1, 0, 11], [1, 0, 8], [0, 6, 0], [0, 6, 2], [0, 4, 0], [0, 4, 2]], [[0, 0, 5], [0, 2, 6], [0, 2, 4], [0, 0, 6], [0, 2, 0], [0, 0, 3], [0, 0, 0], [0, 2, 2], [0, 4, 6], [0, 4, 4], [0, 6, 6], [0, 6, 4], [1, 20, 0], [1, 22, 0], [1, 21, 0], [1, 0, 22], [1, 0, 9], [1, 0, 10], [1, 0, 8], [1, 0, 11], [0, 6, 2], [0, 6, 0], [0, 4, 2], [0, 4, 0]], [[0, 0, 6], [0, 2, 4], [0, 2, 6], [0, 0, 5], [0, 2, 2], [0, 0, 0], [0, 0, 3], [0, 2, 0], [0, 6, 4], [0, 6, 6], [0, 4, 4], [0, 4, 6], [1, 23, 0], [1, 21, 0], [1, 22, 0], [1, 20, 0], [1, 0, 11], [1, 0, 8], [1, 0, 10], [1, 0, 9], [0, 4, 0], [0, 4, 2], [0, 6, 0], [0, 6, 2]], [[0, 6, 6], [0, 4, 4], [0, 4, 6], [0, 6, 5], [0, 4, 2], [0, 6, 0], [0, 6, 3], [0, 4, 0], [0, 2, 4], [0, 2, 6], [0, 0, 4], [0, 0, 6], [1, 8, 0], [1, 10, 0], [1, 9, 0], [1, 11, 0], [1, 21, 0], [1, 0, 23], [1, 0, 20], [1, 0, 22], [0, 0, 0], [0, 0, 2], [0, 2, 0], [0, 2, 2]], [[0, 6, 5], [0, 4, 6], [0, 4, 4], [0, 6, 6], [0, 4, 0], [0, 6, 3], [0, 6, 0], [0, 4, 2], [0, 0, 6], [0, 0, 4], [0, 2, 6], [0, 2, 4], [1, 11, 0], [1, 9, 0], [1, 10, 0], [1, 8, 0], [1, 23, 0], [1, 20, 0], [1, 0, 23], [1, 0, 21], [0, 2, 2], [0, 2, 0], [0, 0, 2], [0, 0, 0]], [[0, 4, 6], [0, 6, 4], [0, 6, 6], [0, 4, 5], [0, 6, 2], [0, 4, 0], [0, 4, 3], [0, 6, 0], [0, 0, 4], [0, 0, 6], [0, 2, 4], [0, 2, 6], [1, 9, 0], [1, 11, 0], [1, 8, 0], [1, 10, 0], [1, 20, 0], [1, 23, 0], [1, 21, 0], [1, 0, 23], [0, 2, 0], [0, 2, 2], [0, 0, 0], [0, 0, 2]], [[0, 4, 5], [0, 6, 6], [0, 6, 4], [0, 4, 6], [0, 6, 0], [0, 4, 3], [0, 4, 0], [0, 6, 2], [0, 2, 6], [0, 2, 4], [0, 0, 6], [0, 0, 4], [1, 10, 0], [1, 8, 0], [1, 11, 0], [1, 9, 0], [1, 22, 0], [1, 21, 0], [1, 23, 0], [1, 20, 0], [0, 0, 2], [0, 0, 0], [0, 2, 2], [0, 2, 0]], [[1, 21, 0], [1, 23, 0], [1, 22, 0], [1, 20, 0], [1, 8, 0], [1, 11, 0], [1, 10, 0], [1, 9, 0], [0, 4, 2], [0, 4, 0], [0, 6, 0], [0, 6, 2], [0, 2, 4], [0, 0, 6], [0, 2, 6], [0, 0, 4], [0, 0, 0], [0, 2, 2], [0, 0, 2], [0, 2, 0], [0, 6, 6], [0, 6, 4], [0, 4, 4], [0, 4, 6]], [[1, 20, 0], [1, 22, 0], [1, 23, 0], [1, 21, 0], [1, 9, 0], [1, 10, 0], [1, 11, 0], [1, 8, 0], [0, 6, 2], [0, 6, 0], [0, 4, 0], [0, 4, 2], [0, 0, 4], [0, 2, 6], [0, 0, 6], [0, 2, 4], [0, 2, 0], [0, 0, 2], [0, 2, 2], [0, 0, 0], [0, 4, 6], [0, 4, 4], [0, 6, 4], [0, 6, 6]], [[1, 22, 0], [1, 20, 0], [1, 21, 0], [1, 23, 0], [1, 10, 0], [1, 9, 0], [1, 8, 0], [1, 11, 0], [0, 6, 0], [0, 6, 2], [0, 4, 2], [0, 4, 0], [0, 2, 6], [0, 0, 4], [0, 2, 4], [0, 0, 6], [0, 0, 2], [0, 2, 0], [0, 0, 0], [0, 2, 2], [0, 4, 4], [0, 4, 6], [0, 6, 6], [0, 6, 4]], [[1, 23, 0], [1, 21, 0], [1, 20, 0], [1, 22, 0], [1, 11, 0], [1, 8, 0], [1, 9, 0], [1, 10, 0], [0, 4, 0], [0, 4, 2], [0, 6, 2], [0, 6, 0], [0, 0, 6], [0, 2, 4], [0, 0, 4], [0, 2, 6], [0, 2, 2], [0, 0, 0], [0, 2, 0], [0, 0, 2], [0, 6, 4], [0, 6, 6], [0, 4, 6], [0, 4, 4]]]], dtype=int) -by_name = {"0": 0, "1": 1, "2": 2, "3": 3, "4": 4, "5": 5, "6": 6, "7": 7, "YA": 2, "9": 9, "YC": 10, "YB": 6, "YE": 18, "YD": 14, "14": 14, "YF": 22, "16": 16, "phase": 6, "18": 18, "19": 19, "20": 20, "21": 21, "22": 22, "23": 23, "ZC": 11, "pz": 3, "px": 1, "py": 2, "XB": 5, "13": 13, "ZE": 19, "msqz": 6, "msqy": 9, "msqx": 15, "10": 10, "sqz": 5, "sqy": 11, "sqx": 14, "IA": 0, "ZD": 15, "XC": 9, "ZF": 23, "XA": 1, "XF": 21, "ZA": 3, "ZB": 7, "XE": 17, "11": 11, "XD": 13, "hadamard": 10, "IC": 8, "IB": 4, "IE": 16, "ID": 12, "identity": 0, "IF": 20, "17": 17, "15": 15, "12": 12, "8": 8} +by_name = {"0": 0, "msqy_h": 11, "2": 2, "3": 3, "4": 4, "5": 5, "6": 6, "1": 1, "msqx_h": 14, "9": 9, "YC": 10, "YB": 6, "YE": 18, "YD": 14, "14": 14, "YF": 22, "XB": 5, "hadamard": 10, "18": 18, "19": 19, "20": 20, "21": 21, "msqz_h": 5, "23": 23, "22": 22, "7": 7, "ZC": 11, "pz": 3, "px": 1, "py": 2, "hadamard_h": 10, "YA": 2, "13": 13, "identity_h": 0, "ZE": 19, "msqz": 6, "msqy": 9, "msqx": 15, "10": 10, "py_h": 2, "sqz": 5, "sqy": 11, "sqx": 14, "IA": 0, "ZD": 15, "XC": 9, "ZF": 23, "XA": 1, "XF": 21, "ZA": 3, "ZB": 7, "pz_h": 3, "11": 11, "XD": 13, "phase": 6, "px_h": 1, "IC": 8, "IB": 4, "IE": 16, "ID": 12, "identity": 0, "IF": 20, "16": 16, "XE": 17, "sqz_h": 6, "17": 17, "15": 15, "12": 12, "sqx_h": 15, "8": 8, "phase_h": 5, "sqy_h": 9} measurement_table_real = np.array([[[0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0]], [[1.0, 1.0], [1.0, 1.0], [1.0, -1.0], [1.0, -1.0], [2.0, -1.0], [2.0, -1.0], [2.0, 1.0], [2.0, 1.0], [3.0, -1.0], [3.0, -1.0], [3.0, 1.0], [3.0, 1.0], [1.0, -1.0], [1.0, -1.0], [1.0, 1.0], [1.0, 1.0], [2.0, 1.0], [2.0, 1.0], [2.0, -1.0], [2.0, -1.0], [3.0, 1.0], [3.0, 1.0], [3.0, -1.0], [3.0, -1.0]], [[2.0, 1.0], [2.0, -1.0], [2.0, 1.0], [2.0, -1.0], [1.0, -1.0], [1.0, 1.0], [1.0, -1.0], [1.0, 1.0], [2.0, -1.0], [2.0, 1.0], [2.0, -1.0], [2.0, 1.0], [3.0, -1.0], [3.0, 1.0], [3.0, -1.0], [3.0, 1.0], [3.0, 1.0], [3.0, -1.0], [3.0, 1.0], [3.0, -1.0], [1.0, 1.0], [1.0, -1.0], [1.0, 1.0], [1.0, -1.0]], [[3.0, 1.0], [3.0, -1.0], [3.0, -1.0], [3.0, 1.0], [3.0, -1.0], [3.0, 1.0], [3.0, 1.0], [3.0, -1.0], [1.0, -1.0], [1.0, 1.0], [1.0, 1.0], [1.0, -1.0], [2.0, -1.0], [2.0, 1.0], [2.0, 1.0], [2.0, -1.0], [1.0, 1.0], [1.0, -1.0], [1.0, -1.0], [1.0, 1.0], [2.0, 1.0], [2.0, -1.0], [2.0, -1.0], [2.0, 1.0]]], dtype=complex) measurement_table_imag = np.array([[[0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], [[0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], [[0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], [[0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]]], dtype=complex) unitaries_real = np.array([[[1.0, 0.0], [0.0, 1.0]], [[-0.0, 1.0], [1.0, -0.0]], [[0.0, 1.0], [-1.0, 0.0]], [[1.0, 0.0], [0.0, -1.0]], [[0.0, 1.0], [0.0, 0.0]], [[1.0, 0.0], [0.0, 0.0]], [[1.0, 0.0], [0.0, -0.0]], [[-0.0, 1.0], [-0.0, -0.0]], [[ir2, -ir2], [-ir2, -ir2]], [[ir2, -ir2], [ir2, ir2]], [[ir2, ir2], [ir2, -ir2]], [[ir2, ir2], [-ir2, ir2]], [[ir2, -0.0], [0.0, -ir2]], [[ir2, 0.0], [-0.0, -ir2]], [[ir2, -0.0], [-0.0, ir2]], [[ir2, 0.0], [0.0, ir2]], [[ir2, 0.0], [ir2, -0.0]], [[ir2, -0.0], [-ir2, -0.0]], [[ir2, 0.0], [-ir2, 0.0]], [[ir2, -0.0], [ir2, 0.0]], [[ir2, ir2], [-0.0, 0.0]], [[ir2, ir2], [0.0, -0.0]], [[ir2, -ir2], [0.0, 0.0]], [[ir2, -ir2], [-0.0, -0.0]]], dtype=complex) diff --git a/static/scripts/tables.js b/static/scripts/tables.js index 245b82b..2fb81e5 100644 --- a/static/scripts/tables.js +++ b/static/scripts/tables.js @@ -3,7 +3,7 @@ var tables = { conjugation_table : [0, 1, 2, 3, 4, 6, 5, 7, 8, 11, 10, 9, 12, 13, 15, 14, 20, 22, 23, 21, 16, 19, 17, 18], times_table : [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23], [1, 0, 3, 2, 6, 7, 4, 5, 11, 10, 9, 8, 13, 12, 15, 14, 19, 18, 17, 16, 22, 23, 20, 21], [2, 3, 0, 1, 5, 4, 7, 6, 10, 11, 8, 9, 15, 14, 13, 12, 17, 16, 19, 18, 23, 22, 21, 20], [3, 2, 1, 0, 7, 6, 5, 4, 9, 8, 11, 10, 14, 15, 12, 13, 18, 19, 16, 17, 21, 20, 23, 22], [4, 5, 6, 7, 0, 1, 2, 3, 20, 21, 22, 23, 16, 17, 18, 19, 12, 13, 14, 15, 8, 9, 10, 11], [5, 4, 7, 6, 2, 3, 0, 1, 23, 22, 21, 20, 17, 16, 19, 18, 15, 14, 13, 12, 10, 11, 8, 9], [6, 7, 4, 5, 1, 0, 3, 2, 22, 23, 20, 21, 19, 18, 17, 16, 13, 12, 15, 14, 11, 10, 9, 8], [7, 6, 5, 4, 3, 2, 1, 0, 21, 20, 23, 22, 18, 19, 16, 17, 14, 15, 12, 13, 9, 8, 11, 10], [8, 9, 10, 11, 16, 17, 18, 19, 0, 1, 2, 3, 20, 21, 22, 23, 4, 5, 6, 7, 12, 13, 14, 15], [9, 8, 11, 10, 18, 19, 16, 17, 3, 2, 1, 0, 21, 20, 23, 22, 7, 6, 5, 4, 14, 15, 12, 13], [10, 11, 8, 9, 17, 16, 19, 18, 2, 3, 0, 1, 23, 22, 21, 20, 5, 4, 7, 6, 15, 14, 13, 12], [11, 10, 9, 8, 19, 18, 17, 16, 1, 0, 3, 2, 22, 23, 20, 21, 6, 7, 4, 5, 13, 12, 15, 14], [12, 13, 14, 15, 20, 21, 22, 23, 16, 17, 18, 19, 0, 1, 2, 3, 8, 9, 10, 11, 4, 5, 6, 7], [13, 12, 15, 14, 22, 23, 20, 21, 19, 18, 17, 16, 1, 0, 3, 2, 11, 10, 9, 8, 6, 7, 4, 5], [14, 15, 12, 13, 21, 20, 23, 22, 18, 19, 16, 17, 3, 2, 1, 0, 9, 8, 11, 10, 7, 6, 5, 4], [15, 14, 13, 12, 23, 22, 21, 20, 17, 16, 19, 18, 2, 3, 0, 1, 10, 11, 8, 9, 5, 4, 7, 6], [16, 17, 18, 19, 8, 9, 10, 11, 12, 13, 14, 15, 4, 5, 6, 7, 20, 21, 22, 23, 0, 1, 2, 3], [17, 16, 19, 18, 10, 11, 8, 9, 15, 14, 13, 12, 5, 4, 7, 6, 23, 22, 21, 20, 2, 3, 0, 1], [18, 19, 16, 17, 9, 8, 11, 10, 14, 15, 12, 13, 7, 6, 5, 4, 21, 20, 23, 22, 3, 2, 1, 0], [19, 18, 17, 16, 11, 10, 9, 8, 13, 12, 15, 14, 6, 7, 4, 5, 22, 23, 20, 21, 1, 0, 3, 2], [20, 21, 22, 23, 12, 13, 14, 15, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 16, 17, 18, 19], [21, 20, 23, 22, 14, 15, 12, 13, 7, 6, 5, 4, 9, 8, 11, 10, 3, 2, 1, 0, 18, 19, 16, 17], [22, 23, 20, 21, 13, 12, 15, 14, 6, 7, 4, 5, 11, 10, 9, 8, 1, 0, 3, 2, 19, 18, 17, 16], [23, 22, 21, 20, 15, 14, 13, 12, 5, 4, 7, 6, 10, 11, 8, 9, 2, 3, 0, 1, 17, 16, 19, 18]], cz_table : [[[[1, 0, 0], [1, 0, 0], [1, 0, 3], [1, 0, 3], [1, 0, 5], [1, 0, 5], [1, 0, 6], [1, 0, 6], [0, 3, 8], [0, 3, 8], [0, 0, 10], [0, 0, 10], [1, 0, 3], [1, 0, 3], [1, 0, 0], [1, 0, 0], [1, 0, 6], [1, 0, 6], [1, 0, 5], [1, 0, 5], [0, 0, 10], [0, 0, 10], [0, 3, 8], [0, 3, 8]], [[1, 0, 0], [1, 0, 0], [1, 0, 3], [1, 0, 3], [1, 0, 5], [1, 0, 5], [1, 0, 6], [1, 0, 6], [0, 2, 8], [0, 2, 8], [0, 0, 10], [0, 0, 10], [1, 0, 3], [1, 0, 3], [1, 0, 0], [1, 0, 0], [1, 0, 6], [1, 0, 6], [1, 0, 5], [1, 0, 5], [0, 0, 10], [0, 0, 10], [0, 2, 8], [0, 2, 8]], [[1, 3, 0], [1, 3, 0], [1, 2, 0], [1, 2, 0], [1, 0, 4], [1, 2, 6], [1, 2, 5], [1, 0, 7], [0, 0, 8], [0, 0, 8], [0, 2, 10], [0, 2, 10], [1, 0, 2], [1, 0, 2], [1, 0, 1], [1, 0, 1], [1, 0, 7], [1, 0, 7], [1, 0, 4], [1, 0, 4], [0, 2, 10], [0, 2, 10], [0, 0, 8], [0, 0, 8]], [[1, 3, 0], [1, 3, 0], [1, 0, 2], [1, 3, 3], [1, 0, 4], [1, 3, 5], [1, 3, 6], [1, 0, 7], [0, 0, 8], [0, 0, 8], [0, 3, 10], [0, 3, 10], [1, 0, 2], [1, 0, 2], [1, 0, 1], [1, 0, 1], [1, 0, 7], [1, 0, 7], [1, 0, 4], [1, 0, 4], [0, 3, 10], [0, 3, 10], [0, 0, 8], [0, 0, 8]], [[1, 5, 0], [1, 5, 0], [1, 4, 0], [1, 4, 0], [1, 19, 0], [1, 4, 6], [1, 4, 5], [1, 0, 17], [0, 6, 8], [0, 6, 8], [0, 4, 10], [0, 4, 10], [1, 0, 12], [1, 0, 12], [1, 0, 14], [1, 0, 14], [1, 0, 17], [1, 0, 17], [1, 0, 19], [1, 0, 19], [0, 4, 10], [0, 4, 10], [0, 6, 8], [0, 6, 8]], [[1, 5, 0], [1, 5, 0], [1, 6, 2], [1, 5, 3], [1, 6, 4], [1, 5, 5], [1, 5, 6], [1, 0, 17], [0, 6, 8], [0, 6, 8], [0, 5, 10], [0, 5, 10], [1, 0, 12], [1, 0, 12], [1, 0, 14], [1, 0, 14], [1, 0, 17], [1, 0, 17], [1, 0, 19], [1, 0, 19], [0, 5, 10], [0, 5, 10], [0, 6, 8], [0, 6, 8]], [[1, 6, 0], [1, 6, 0], [1, 5, 2], [1, 6, 3], [1, 5, 4], [1, 6, 5], [1, 6, 6], [1, 0, 16], [0, 5, 8], [0, 5, 8], [0, 6, 10], [0, 6, 10], [1, 0, 13], [1, 0, 13], [1, 0, 15], [1, 0, 15], [1, 0, 16], [1, 0, 16], [1, 0, 18], [1, 0, 18], [0, 6, 10], [0, 6, 10], [0, 5, 8], [0, 5, 8]], [[1, 6, 0], [1, 6, 0], [1, 7, 0], [1, 7, 0], [1, 17, 0], [1, 17, 0], [1, 16, 0], [1, 16, 0], [0, 4, 8], [0, 4, 8], [0, 6, 10], [0, 6, 10], [1, 0, 13], [1, 0, 13], [1, 0, 15], [1, 0, 15], [1, 0, 16], [1, 0, 16], [1, 0, 18], [1, 0, 18], [0, 6, 10], [0, 6, 10], [0, 4, 8], [0, 4, 8]], [[0, 8, 3], [0, 8, 2], [0, 8, 0], [0, 8, 0], [0, 8, 6], [0, 8, 6], [0, 8, 5], [0, 8, 4], [0, 8, 8], [0, 8, 8], [0, 8, 10], [0, 8, 10], [0, 8, 0], [0, 8, 0], [0, 8, 2], [0, 8, 2], [0, 8, 4], [0, 8, 4], [0, 8, 6], [0, 8, 6], [0, 8, 10], [0, 8, 10], [0, 8, 8], [0, 8, 8]], [[0, 8, 3], [0, 8, 2], [0, 8, 0], [0, 8, 0], [0, 8, 6], [0, 8, 6], [0, 8, 5], [0, 8, 4], [0, 8, 8], [0, 8, 8], [0, 8, 10], [0, 8, 10], [0, 8, 0], [0, 8, 0], [0, 8, 2], [0, 8, 2], [0, 8, 4], [0, 8, 4], [0, 8, 6], [0, 8, 6], [0, 8, 10], [0, 8, 10], [0, 8, 8], [0, 8, 8]], [[0, 10, 0], [0, 10, 0], [0, 10, 2], [0, 10, 3], [0, 10, 4], [0, 10, 5], [0, 10, 6], [0, 10, 6], [0, 10, 8], [0, 10, 8], [0, 10, 10], [0, 10, 10], [0, 10, 2], [0, 10, 2], [0, 10, 0], [0, 10, 0], [0, 10, 6], [0, 10, 6], [0, 10, 4], [0, 10, 4], [0, 10, 10], [0, 10, 10], [0, 10, 8], [0, 10, 8]], [[0, 10, 0], [0, 10, 0], [0, 10, 2], [0, 10, 3], [0, 10, 4], [0, 10, 5], [0, 10, 6], [0, 10, 6], [0, 10, 8], [0, 10, 8], [0, 10, 10], [0, 10, 10], [0, 10, 2], [0, 10, 2], [0, 10, 0], [0, 10, 0], [0, 10, 6], [0, 10, 6], [0, 10, 4], [0, 10, 4], [0, 10, 10], [0, 10, 10], [0, 10, 8], [0, 10, 8]], [[1, 3, 0], [1, 3, 0], [1, 2, 0], [1, 2, 0], [1, 12, 0], [1, 12, 0], [1, 13, 0], [1, 13, 0], [0, 0, 8], [0, 0, 8], [0, 2, 10], [0, 2, 10], [1, 2, 0], [1, 0, 2], [1, 0, 1], [1, 0, 1], [1, 0, 7], [1, 0, 7], [1, 0, 4], [1, 0, 4], [0, 2, 10], [0, 2, 10], [0, 0, 8], [0, 0, 8]], [[1, 3, 0], [1, 3, 0], [1, 2, 0], [1, 2, 0], [1, 12, 0], [1, 12, 0], [1, 13, 0], [1, 13, 0], [0, 0, 8], [0, 0, 8], [0, 2, 10], [0, 2, 10], [1, 2, 0], [1, 2, 0], [1, 0, 1], [1, 0, 1], [1, 0, 7], [1, 0, 7], [1, 0, 4], [1, 0, 4], [0, 2, 10], [0, 2, 10], [0, 0, 8], [0, 0, 8]], [[1, 0, 0], [1, 0, 0], [1, 1, 0], [1, 1, 0], [1, 14, 0], [1, 14, 0], [1, 15, 0], [1, 15, 0], [0, 2, 8], [0, 2, 8], [0, 0, 10], [0, 0, 10], [1, 1, 0], [1, 1, 0], [1, 0, 0], [1, 0, 0], [1, 0, 6], [1, 0, 6], [1, 0, 5], [1, 0, 5], [0, 0, 10], [0, 0, 10], [0, 2, 8], [0, 2, 8]], [[1, 0, 0], [1, 0, 0], [1, 1, 0], [1, 1, 0], [1, 14, 0], [1, 14, 0], [1, 15, 0], [1, 15, 0], [0, 2, 8], [0, 2, 8], [0, 0, 10], [0, 0, 10], [1, 1, 0], [1, 1, 0], [1, 0, 0], [1, 0, 0], [1, 0, 6], [1, 0, 6], [1, 0, 5], [1, 0, 5], [0, 0, 10], [0, 0, 10], [0, 2, 8], [0, 2, 8]], [[1, 6, 0], [1, 6, 0], [1, 7, 0], [1, 7, 0], [1, 17, 0], [1, 17, 0], [1, 16, 0], [1, 16, 0], [0, 4, 8], [0, 4, 8], [0, 6, 10], [0, 6, 10], [1, 7, 0], [1, 7, 0], [1, 6, 0], [1, 6, 0], [1, 16, 0], [1, 0, 16], [1, 0, 18], [1, 0, 18], [0, 6, 10], [0, 6, 10], [0, 4, 8], [0, 4, 8]], [[1, 6, 0], [1, 6, 0], [1, 7, 0], [1, 7, 0], [1, 17, 0], [1, 17, 0], [1, 16, 0], [1, 16, 0], [0, 4, 8], [0, 4, 8], [0, 6, 10], [0, 6, 10], [1, 7, 0], [1, 7, 0], [1, 6, 0], [1, 6, 0], [1, 16, 0], [1, 16, 0], [1, 0, 18], [1, 0, 18], [0, 6, 10], [0, 6, 10], [0, 4, 8], [0, 4, 8]], [[1, 5, 0], [1, 5, 0], [1, 4, 0], [1, 4, 0], [1, 19, 0], [1, 19, 0], [1, 18, 0], [1, 18, 0], [0, 6, 8], [0, 6, 8], [0, 4, 10], [0, 4, 10], [1, 4, 0], [1, 4, 0], [1, 5, 0], [1, 5, 0], [1, 18, 0], [1, 18, 0], [1, 19, 0], [1, 0, 19], [0, 4, 10], [0, 4, 10], [0, 6, 8], [0, 6, 8]], [[1, 5, 0], [1, 5, 0], [1, 4, 0], [1, 4, 0], [1, 19, 0], [1, 19, 0], [1, 18, 0], [1, 18, 0], [0, 6, 8], [0, 6, 8], [0, 4, 10], [0, 4, 10], [1, 4, 0], [1, 4, 0], [1, 5, 0], [1, 5, 0], [1, 18, 0], [1, 18, 0], [1, 19, 0], [1, 19, 0], [0, 4, 10], [0, 4, 10], [0, 6, 8], [0, 6, 8]], [[0, 10, 0], [0, 10, 0], [0, 10, 2], [0, 10, 3], [0, 10, 4], [0, 10, 5], [0, 10, 6], [0, 10, 6], [0, 10, 8], [0, 10, 8], [0, 10, 10], [0, 10, 10], [0, 10, 2], [0, 10, 2], [0, 10, 0], [0, 10, 0], [0, 10, 6], [0, 10, 6], [0, 10, 4], [0, 10, 4], [0, 10, 10], [0, 10, 10], [0, 10, 8], [0, 10, 8]], [[0, 10, 0], [0, 10, 0], [0, 10, 2], [0, 10, 3], [0, 10, 4], [0, 10, 5], [0, 10, 6], [0, 10, 6], [0, 10, 8], [0, 10, 8], [0, 10, 10], [0, 10, 10], [0, 10, 2], [0, 10, 2], [0, 10, 0], [0, 10, 0], [0, 10, 6], [0, 10, 6], [0, 10, 4], [0, 10, 4], [0, 10, 10], [0, 10, 10], [0, 10, 8], [0, 10, 8]], [[0, 8, 3], [0, 8, 2], [0, 8, 0], [0, 8, 0], [0, 8, 6], [0, 8, 6], [0, 8, 5], [0, 8, 4], [0, 8, 8], [0, 8, 8], [0, 8, 10], [0, 8, 10], [0, 8, 0], [0, 8, 0], [0, 8, 2], [0, 8, 2], [0, 8, 4], [0, 8, 4], [0, 8, 6], [0, 8, 6], [0, 8, 10], [0, 8, 10], [0, 8, 8], [0, 8, 8]], [[0, 8, 3], [0, 8, 2], [0, 8, 0], [0, 8, 0], [0, 8, 6], [0, 8, 6], [0, 8, 5], [0, 8, 4], [0, 8, 8], [0, 8, 8], [0, 8, 10], [0, 8, 10], [0, 8, 0], [0, 8, 0], [0, 8, 2], [0, 8, 2], [0, 8, 4], [0, 8, 4], [0, 8, 6], [0, 8, 6], [0, 8, 10], [0, 8, 10], [0, 8, 8], [0, 8, 8]]], [[[0, 0, 0], [0, 3, 0], [0, 3, 2], [0, 0, 3], [0, 3, 4], [0, 0, 5], [0, 0, 6], [0, 3, 6], [1, 0, 8], [1, 0, 9], [1, 0, 11], [1, 0, 10], [0, 5, 2], [0, 6, 2], [0, 5, 0], [0, 6, 0], [0, 6, 6], [0, 5, 6], [0, 6, 4], [0, 5, 4], [1, 0, 21], [1, 0, 20], [1, 0, 22], [1, 0, 23]], [[0, 0, 3], [0, 2, 2], [0, 2, 0], [0, 0, 0], [0, 2, 6], [0, 0, 6], [0, 0, 5], [0, 2, 4], [1, 0, 10], [1, 0, 11], [1, 0, 9], [1, 0, 8], [0, 6, 0], [0, 4, 0], [0, 6, 2], [0, 4, 2], [0, 4, 4], [0, 6, 4], [0, 4, 6], [0, 6, 6], [1, 0, 23], [1, 0, 22], [1, 0, 20], [1, 0, 21]], [[0, 2, 3], [0, 0, 2], [0, 0, 0], [0, 2, 0], [0, 0, 6], [0, 2, 6], [0, 2, 5], [0, 0, 4], [1, 0, 11], [1, 0, 10], [1, 0, 8], [1, 0, 9], [0, 4, 0], [0, 6, 0], [0, 4, 2], [0, 6, 2], [0, 6, 4], [0, 4, 4], [0, 6, 6], [0, 4, 6], [1, 0, 22], [1, 0, 23], [1, 0, 21], [1, 0, 20]], [[0, 3, 0], [0, 0, 0], [0, 0, 2], [0, 3, 3], [0, 0, 4], [0, 3, 5], [0, 3, 6], [0, 0, 6], [1, 0, 9], [1, 0, 8], [1, 0, 10], [1, 0, 11], [0, 6, 2], [0, 5, 2], [0, 6, 0], [0, 5, 0], [0, 5, 6], [0, 6, 6], [0, 5, 4], [0, 6, 4], [1, 0, 20], [1, 0, 21], [1, 0, 23], [1, 0, 22]], [[0, 4, 3], [0, 6, 2], [0, 6, 0], [0, 4, 0], [0, 6, 6], [0, 4, 6], [0, 4, 5], [0, 6, 4], [1, 0, 21], [1, 0, 20], [1, 0, 23], [1, 0, 22], [0, 0, 0], [0, 2, 0], [0, 0, 2], [0, 2, 2], [0, 2, 4], [0, 0, 4], [0, 2, 6], [0, 0, 6], [1, 0, 8], [1, 0, 9], [1, 0, 10], [1, 0, 11]], [[0, 5, 0], [0, 6, 0], [0, 6, 2], [0, 5, 3], [0, 6, 4], [0, 5, 5], [0, 5, 6], [0, 6, 6], [1, 0, 22], [1, 0, 23], [1, 0, 20], [1, 0, 21], [0, 3, 2], [0, 0, 2], [0, 3, 0], [0, 0, 0], [0, 0, 6], [0, 3, 6], [0, 0, 4], [0, 3, 4], [1, 0, 11], [1, 0, 10], [1, 0, 9], [1, 0, 8]], [[0, 6, 0], [0, 5, 0], [0, 5, 2], [0, 6, 3], [0, 5, 4], [0, 6, 5], [0, 6, 6], [0, 5, 6], [1, 0, 23], [1, 0, 22], [1, 0, 21], [1, 0, 20], [0, 0, 2], [0, 3, 2], [0, 0, 0], [0, 3, 0], [0, 3, 6], [0, 0, 6], [0, 3, 4], [0, 0, 4], [1, 0, 10], [1, 0, 11], [1, 0, 8], [1, 0, 9]], [[0, 6, 3], [0, 4, 2], [0, 4, 0], [0, 6, 0], [0, 4, 6], [0, 6, 6], [0, 6, 5], [0, 4, 4], [1, 0, 20], [1, 0, 21], [1, 0, 22], [1, 0, 23], [0, 2, 0], [0, 0, 0], [0, 2, 2], [0, 0, 2], [0, 0, 4], [0, 2, 4], [0, 0, 6], [0, 2, 6], [1, 0, 9], [1, 0, 8], [1, 0, 11], [1, 0, 10]], [[1, 8, 0], [1, 10, 0], [1, 11, 0], [1, 9, 0], [1, 21, 0], [1, 22, 0], [1, 23, 0], [1, 20, 0], [0, 0, 0], [0, 0, 2], [0, 2, 2], [0, 2, 0], [0, 6, 6], [0, 4, 4], [0, 6, 4], [0, 4, 6], [0, 4, 2], [0, 6, 0], [0, 4, 0], [0, 6, 2], [0, 2, 4], [0, 2, 6], [0, 0, 6], [0, 0, 4]], [[1, 9, 0], [1, 11, 0], [1, 10, 0], [1, 8, 0], [1, 20, 0], [1, 23, 0], [1, 22, 0], [1, 21, 0], [0, 2, 0], [0, 2, 2], [0, 0, 2], [0, 0, 0], [0, 4, 6], [0, 6, 4], [0, 4, 4], [0, 6, 6], [0, 6, 2], [0, 4, 0], [0, 6, 0], [0, 4, 2], [0, 0, 4], [0, 0, 6], [0, 2, 6], [0, 2, 4]], [[1, 11, 0], [1, 9, 0], [1, 8, 0], [1, 10, 0], [1, 23, 0], [1, 20, 0], [1, 21, 0], [1, 22, 0], [0, 2, 2], [0, 2, 0], [0, 0, 0], [0, 0, 2], [0, 6, 4], [0, 4, 6], [0, 6, 6], [0, 4, 4], [0, 4, 0], [0, 6, 2], [0, 4, 2], [0, 6, 0], [0, 0, 6], [0, 0, 4], [0, 2, 4], [0, 2, 6]], [[1, 10, 0], [1, 8, 0], [1, 9, 0], [1, 11, 0], [1, 22, 0], [1, 21, 0], [1, 20, 0], [1, 23, 0], [0, 0, 2], [0, 0, 0], [0, 2, 0], [0, 2, 2], [0, 4, 4], [0, 6, 6], [0, 4, 6], [0, 6, 4], [0, 6, 0], [0, 4, 2], [0, 6, 2], [0, 4, 0], [0, 2, 6], [0, 2, 4], [0, 0, 4], [0, 0, 6]], [[0, 2, 5], [0, 0, 6], [0, 0, 4], [0, 2, 6], [0, 0, 0], [0, 2, 3], [0, 2, 0], [0, 0, 2], [0, 6, 6], [0, 6, 4], [0, 4, 6], [0, 4, 4], [1, 21, 0], [1, 0, 22], [1, 0, 20], [1, 0, 23], [1, 0, 8], [1, 0, 11], [1, 0, 9], [1, 0, 10], [0, 4, 2], [0, 4, 0], [0, 6, 2], [0, 6, 0]], [[0, 2, 6], [0, 0, 4], [0, 0, 6], [0, 2, 5], [0, 0, 2], [0, 2, 0], [0, 2, 3], [0, 0, 0], [0, 4, 4], [0, 4, 6], [0, 6, 4], [0, 6, 6], [1, 22, 0], [1, 20, 0], [1, 0, 22], [1, 0, 21], [1, 0, 10], [1, 0, 9], [1, 0, 11], [1, 0, 8], [0, 6, 0], [0, 6, 2], [0, 4, 0], [0, 4, 2]], [[0, 0, 5], [0, 2, 6], [0, 2, 4], [0, 0, 6], [0, 2, 0], [0, 0, 3], [0, 0, 0], [0, 2, 2], [0, 4, 6], [0, 4, 4], [0, 6, 6], [0, 6, 4], [1, 20, 0], [1, 22, 0], [1, 21, 0], [1, 0, 22], [1, 0, 9], [1, 0, 10], [1, 0, 8], [1, 0, 11], [0, 6, 2], [0, 6, 0], [0, 4, 2], [0, 4, 0]], [[0, 0, 6], [0, 2, 4], [0, 2, 6], [0, 0, 5], [0, 2, 2], [0, 0, 0], [0, 0, 3], [0, 2, 0], [0, 6, 4], [0, 6, 6], [0, 4, 4], [0, 4, 6], [1, 23, 0], [1, 21, 0], [1, 22, 0], [1, 20, 0], [1, 0, 11], [1, 0, 8], [1, 0, 10], [1, 0, 9], [0, 4, 0], [0, 4, 2], [0, 6, 0], [0, 6, 2]], [[0, 6, 6], [0, 4, 4], [0, 4, 6], [0, 6, 5], [0, 4, 2], [0, 6, 0], [0, 6, 3], [0, 4, 0], [0, 2, 4], [0, 2, 6], [0, 0, 4], [0, 0, 6], [1, 8, 0], [1, 10, 0], [1, 9, 0], [1, 11, 0], [1, 21, 0], [1, 0, 23], [1, 0, 20], [1, 0, 22], [0, 0, 0], [0, 0, 2], [0, 2, 0], [0, 2, 2]], [[0, 6, 5], [0, 4, 6], [0, 4, 4], [0, 6, 6], [0, 4, 0], [0, 6, 3], [0, 6, 0], [0, 4, 2], [0, 0, 6], [0, 0, 4], [0, 2, 6], [0, 2, 4], [1, 11, 0], [1, 9, 0], [1, 10, 0], [1, 8, 0], [1, 23, 0], [1, 20, 0], [1, 0, 23], [1, 0, 21], [0, 2, 2], [0, 2, 0], [0, 0, 2], [0, 0, 0]], [[0, 4, 6], [0, 6, 4], [0, 6, 6], [0, 4, 5], [0, 6, 2], [0, 4, 0], [0, 4, 3], [0, 6, 0], [0, 0, 4], [0, 0, 6], [0, 2, 4], [0, 2, 6], [1, 9, 0], [1, 11, 0], [1, 8, 0], [1, 10, 0], [1, 20, 0], [1, 23, 0], [1, 21, 0], [1, 0, 23], [0, 2, 0], [0, 2, 2], [0, 0, 0], [0, 0, 2]], [[0, 4, 5], [0, 6, 6], [0, 6, 4], [0, 4, 6], [0, 6, 0], [0, 4, 3], [0, 4, 0], [0, 6, 2], [0, 2, 6], [0, 2, 4], [0, 0, 6], [0, 0, 4], [1, 10, 0], [1, 8, 0], [1, 11, 0], [1, 9, 0], [1, 22, 0], [1, 21, 0], [1, 23, 0], [1, 20, 0], [0, 0, 2], [0, 0, 0], [0, 2, 2], [0, 2, 0]], [[1, 21, 0], [1, 23, 0], [1, 22, 0], [1, 20, 0], [1, 8, 0], [1, 11, 0], [1, 10, 0], [1, 9, 0], [0, 4, 2], [0, 4, 0], [0, 6, 0], [0, 6, 2], [0, 2, 4], [0, 0, 6], [0, 2, 6], [0, 0, 4], [0, 0, 0], [0, 2, 2], [0, 0, 2], [0, 2, 0], [0, 6, 6], [0, 6, 4], [0, 4, 4], [0, 4, 6]], [[1, 20, 0], [1, 22, 0], [1, 23, 0], [1, 21, 0], [1, 9, 0], [1, 10, 0], [1, 11, 0], [1, 8, 0], [0, 6, 2], [0, 6, 0], [0, 4, 0], [0, 4, 2], [0, 0, 4], [0, 2, 6], [0, 0, 6], [0, 2, 4], [0, 2, 0], [0, 0, 2], [0, 2, 2], [0, 0, 0], [0, 4, 6], [0, 4, 4], [0, 6, 4], [0, 6, 6]], [[1, 22, 0], [1, 20, 0], [1, 21, 0], [1, 23, 0], [1, 10, 0], [1, 9, 0], [1, 8, 0], [1, 11, 0], [0, 6, 0], [0, 6, 2], [0, 4, 2], [0, 4, 0], [0, 2, 6], [0, 0, 4], [0, 2, 4], [0, 0, 6], [0, 0, 2], [0, 2, 0], [0, 0, 0], [0, 2, 2], [0, 4, 4], [0, 4, 6], [0, 6, 6], [0, 6, 4]], [[1, 23, 0], [1, 21, 0], [1, 20, 0], [1, 22, 0], [1, 11, 0], [1, 8, 0], [1, 9, 0], [1, 10, 0], [0, 4, 0], [0, 4, 2], [0, 6, 2], [0, 6, 0], [0, 0, 6], [0, 2, 4], [0, 0, 4], [0, 2, 6], [0, 2, 2], [0, 0, 0], [0, 2, 0], [0, 0, 2], [0, 6, 4], [0, 6, 6], [0, 4, 6], [0, 4, 4]]]], - clifford : {"0": 0, "1": 1, "2": 2, "3": 3, "4": 4, "5": 5, "6": 6, "7": 7, "YA": 2, "9": 9, "YC": 10, "YB": 6, "YE": 18, "YD": 14, "14": 14, "YF": 22, "16": 16, "phase": 6, "18": 18, "19": 19, "20": 20, "21": 21, "22": 22, "23": 23, "ZC": 11, "pz": 3, "px": 1, "py": 2, "XB": 5, "13": 13, "ZE": 19, "msqz": 6, "msqy": 9, "msqx": 15, "10": 10, "sqz": 5, "sqy": 11, "sqx": 14, "IA": 0, "ZD": 15, "XC": 9, "ZF": 23, "XA": 1, "XF": 21, "ZA": 3, "ZB": 7, "XE": 17, "11": 11, "XD": 13, "hadamard": 10, "IC": 8, "IB": 4, "IE": 16, "ID": 12, "identity": 0, "IF": 20, "17": 17, "15": 15, "12": 12, "8": 8}, + clifford : {"0": 0, "msqy_h": 11, "2": 2, "3": 3, "4": 4, "5": 5, "6": 6, "1": 1, "msqx_h": 14, "9": 9, "YC": 10, "YB": 6, "YE": 18, "YD": 14, "14": 14, "YF": 22, "XB": 5, "hadamard": 10, "18": 18, "19": 19, "20": 20, "21": 21, "msqz_h": 5, "23": 23, "22": 22, "7": 7, "ZC": 11, "pz": 3, "px": 1, "py": 2, "hadamard_h": 10, "YA": 2, "13": 13, "identity_h": 0, "ZE": 19, "msqz": 6, "msqy": 9, "msqx": 15, "10": 10, "py_h": 2, "sqz": 5, "sqy": 11, "sqx": 14, "IA": 0, "ZD": 15, "XC": 9, "ZF": 23, "XA": 1, "XF": 21, "ZA": 3, "ZB": 7, "pz_h": 3, "11": 11, "XD": 13, "phase": 6, "px_h": 1, "IC": 8, "IB": 4, "IE": 16, "ID": 12, "identity": 0, "IF": 20, "16": 16, "XE": 17, "sqz_h": 6, "17": 17, "15": 15, "12": 12, "sqx_h": 15, "8": 8, "phase_h": 5, "sqy_h": 9}, measurement_table_real : [[[0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0], [0.0, 1.0]], [[1.0, 1.0], [1.0, 1.0], [1.0, -1.0], [1.0, -1.0], [2.0, -1.0], [2.0, -1.0], [2.0, 1.0], [2.0, 1.0], [3.0, -1.0], [3.0, -1.0], [3.0, 1.0], [3.0, 1.0], [1.0, -1.0], [1.0, -1.0], [1.0, 1.0], [1.0, 1.0], [2.0, 1.0], [2.0, 1.0], [2.0, -1.0], [2.0, -1.0], [3.0, 1.0], [3.0, 1.0], [3.0, -1.0], [3.0, -1.0]], [[2.0, 1.0], [2.0, -1.0], [2.0, 1.0], [2.0, -1.0], [1.0, -1.0], [1.0, 1.0], [1.0, -1.0], [1.0, 1.0], [2.0, -1.0], [2.0, 1.0], [2.0, -1.0], [2.0, 1.0], [3.0, -1.0], [3.0, 1.0], [3.0, -1.0], [3.0, 1.0], [3.0, 1.0], [3.0, -1.0], [3.0, 1.0], [3.0, -1.0], [1.0, 1.0], [1.0, -1.0], [1.0, 1.0], [1.0, -1.0]], [[3.0, 1.0], [3.0, -1.0], [3.0, -1.0], [3.0, 1.0], [3.0, -1.0], [3.0, 1.0], [3.0, 1.0], [3.0, -1.0], [1.0, -1.0], [1.0, 1.0], [1.0, 1.0], [1.0, -1.0], [2.0, -1.0], [2.0, 1.0], [2.0, 1.0], [2.0, -1.0], [1.0, 1.0], [1.0, -1.0], [1.0, -1.0], [1.0, 1.0], [2.0, 1.0], [2.0, -1.0], [2.0, -1.0], [2.0, 1.0]]], measurement_table_imag : [[[0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], [[0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], [[0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], [[0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]]] }; diff --git a/tests/test_measurement.py b/tests/test_measurement.py index 4adf5d7..27ef5de 100644 --- a/tests/test_measurement.py +++ b/tests/test_measurement.py @@ -6,11 +6,17 @@ def test_z_measurement(): assert g.measure_z(0, 0) == 0 assert g.measure_z(0, 1) == 1 +def test_y_measurement(): + g = GraphState([0]) + assert g.measure_y(0, 0) == 0 + assert g.measure_y(0, 1) == 1 + + -def test_z_measurement_against_ab(): - for i in range(10): - a = graphsim.GraphRegister(1) - b = GraphState() - b.add_node(0) - print a.measure(0, graphsim.lco_Z) - print b.measure(0, "pz") +#def test_z_measurement_against_ab(): + #for i in range(10): + #a = graphsim.GraphRegister(1) + #b = GraphState() + #b.add_node(0) + #print a.measure(0, graphsim.lco_Z) + #print b.measure(0, "pz")