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@@ -8,30 +8,29 @@ import tables as clifford |
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class GraphState(object): |
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class GraphState(object): |
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def __init__(self): |
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def __init__(self): |
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self.ngbh = defaultdict(set) |
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self.ngbh = defaultdict(set) |
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self.vops = defaultdict(int) |
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self.vops = defaultdict(int) |
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def add_edge(self, v1, v2): |
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def add_edge(self, v1, v2): |
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""" Add an edge between two vertices in the self """ |
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""" Add an edge between two vertices in the self """ |
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if not v1 in self.ngbh: self.vops[v1] = clifford.by_name["hadamard"] |
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if not v2 in self.ngbh: self.vops[v2] = clifford.by_name["hadamard"] |
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if not v1 in self.ngbh: |
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self.vops[v1] = clifford.by_name["hadamard"] |
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if not v2 in self.ngbh: |
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self.vops[v2] = clifford.by_name["hadamard"] |
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self.ngbh[v1].add(v2) |
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self.ngbh[v1].add(v2) |
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self.ngbh[v2].add(v1) |
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self.ngbh[v2].add(v1) |
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def del_edge(self, v1, v2): |
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def del_edge(self, v1, v2): |
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""" Delete an edge between two vertices in the self """ |
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""" Delete an edge between two vertices in the self """ |
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self.ngbh[v1].remove(v2) |
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self.ngbh[v1].remove(v2) |
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self.ngbh[v2].remove(v1) |
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self.ngbh[v2].remove(v1) |
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def has_edge(self, v1, v2): |
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def has_edge(self, v1, v2): |
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""" Test existence of an edge between two vertices in the self """ |
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""" Test existence of an edge between two vertices in the self """ |
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return v2 in self.ngbh[v1] |
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return v2 in self.ngbh[v1] |
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def toggle_edge(self, v1, v2): |
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def toggle_edge(self, v1, v2): |
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""" Toggle an edge between two vertices in the self """ |
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""" Toggle an edge between two vertices in the self """ |
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if self.has_edge(v1, v2): |
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if self.has_edge(v1, v2): |
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@@ -41,18 +40,30 @@ class GraphState(object): |
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def edgelist(self): |
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def edgelist(self): |
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""" Describe a graph as an edgelist """ |
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""" Describe a graph as an edgelist """ |
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edges = frozenset(frozenset((i, n)) |
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for i, v in enumerate(self.ngbh.values()) |
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edges = frozenset(tuple(sorted((i, n))) |
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for i, v in self.ngbh.items() |
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for n in v) |
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for n in v) |
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return [tuple(e) for e in edges] |
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return [tuple(e) for e in edges] |
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def remove_vop(self, a, avoid): |
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def remove_vop(self, a, avoid): |
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""" Reduces VOP[a] to the identity, avoiding (if possible) the use of vertex b as a swapping partner """ |
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""" Reduces VOP[a] to the identity """ |
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others = self.ngbh[a] - {avoid} |
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others = self.ngbh[a] - {avoid} |
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swap_qubit = others.pop() if others else avoid |
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swap_qubit = others.pop() if others else avoid |
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for v in reversed(clifford.decompositions[self.vops[a]]): |
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for v in reversed(clifford.decompositions[self.vops[a]]): |
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self.local_complementation(a if v == "x" else swap_qubit) |
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self.local_complementation(a if v == "x" else swap_qubit) |
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def local_complementation(self, v): |
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""" As defined in LISTING 1 of Anders & Briegel """ |
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for i, j in it.combinations(self.ngbh[v], 2): |
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self.toggle_edge(i, j) |
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# Update VOPs |
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self.vops[v] = clifford.times_table[ |
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self.vops[v]][clifford.by_name["sqx"]] |
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for i in self.ngbh[v]: |
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self.vops[i] = clifford.times_table[ |
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self.vops[i]][clifford.by_name["msqz"]] |
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def cphase(self, a, b): |
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def cphase(self, a, b): |
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""" Act a controlled-phase gate on two qubits """ |
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""" Act a controlled-phase gate on two qubits """ |
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if self.ngbh[a] - {b}: |
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if self.ngbh[a] - {b}: |
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@@ -66,13 +77,3 @@ class GraphState(object): |
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if new_edge != edge: |
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if new_edge != edge: |
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self.toggle_edge(a, b) |
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self.toggle_edge(a, b) |
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def local_complementation(self, v): |
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""" As defined in LISTING 1 of Anders & Briegel """ |
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for i, j in it.combinations(self.ngbh[v], 2): |
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self.toggle_edge(i, j) |
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# Update VOPs |
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self.vops[v] = clifford.times_table[self.vops[v]][clifford.by_name["sqx"]] |
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for i in self.ngbh[v]: |
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self.vops[i] = clifford.times_table[self.vops[i]][clifford.by_name["msqz"]] |
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