@@ -1,14 +0,0 @@ | |||
""" This part computes the CZ table """ | |||
from util import cache_to_disk | |||
import qi | |||
import numpy as np | |||
from tqdm import tqdm | |||
import clifford | |||
#@cache_to_disk("cz_table.pkl") | |||
def construct_table(): | |||
print "awd" | |||
return "awd" | |||
cz_table = construct_table() |
@@ -4,68 +4,75 @@ Provides an extremely basic graph structure, based on neighbour lists | |||
from collections import defaultdict | |||
import itertools as it | |||
import clifford | |||
def graph(): | |||
""" Generate a graph with Hadamards on each qubit """ | |||
#return defaultdict(set), defaultdict(lambda: clifford.by_name["hadamard"]) | |||
return [set() for i in range(100)], [clifford.by_name["hadamard"] for i in range(100)] | |||
def add_edge(graph, v1, v2): | |||
""" Add an edge between two vertices in the graph """ | |||
graph[v1].add(v2) | |||
graph[v2].add(v1) | |||
def del_edge(graph, v1, v2): | |||
""" Delete an edge between two vertices in the graph """ | |||
graph[v1].remove(v2) | |||
graph[v2].remove(v1) | |||
def has_edge(graph, v1, v2): | |||
""" Test existence of an edge between two vertices in the graph """ | |||
return v2 in graph[v1] | |||
def toggle_edge(graph, v1, v2): | |||
""" Toggle an edge between two vertices in the graph """ | |||
if has_edge(graph, v1, v2): | |||
del_edge(graph, v1, v2) | |||
else: | |||
add_edge(graph, v1, v2) | |||
def edgelist(g): | |||
""" Describe a graph as an edgelist """ | |||
edges = frozenset(frozenset((i, n)) | |||
for i, v in enumerate(g) | |||
for n in v) | |||
return [tuple(e) for e in edges] | |||
def cphase(g, vops, a, b): | |||
""" Act a controlled-phase gate on two qubits """ | |||
if g[a]-{b}: remove_vop(g, vops, a, b) | |||
if g[b]-{a}: remove_vop(g, vops, b, a) | |||
if g[a]-{b}: remove_vop(g, vops, a, b) | |||
edge = has_edge(g, a, b) | |||
new_edge, vops[a], vops[b] = cphase_table[edge, vops[a], vops[b]] | |||
if new_edge != edge: | |||
toggle_edge(g, a, b) | |||
def remove_vop(g, vops, a, avoid): | |||
""" Reduces VOP[a] to the identity, avoiding (if possible) the use of vertex b as a swapping partner """ | |||
others = g[a] - {avoid} | |||
swap_qubit = others.pop() if others else avoid | |||
for v in reversed(clifford.decompositions[vops[a]]): | |||
local_complementation(g, vops, a if v == "x" else swap_qubit) | |||
def local_complementation(g, vops, v): | |||
""" As defined in LISTING 1 of Anders & Briegel """ | |||
for i, j in it.combinations(g[v], 2): | |||
toggle_edge(g, i, j) | |||
# Update VOPs | |||
vops[v] = clifford.times_table[vops[v]][clifford.by_name["sqx"]] | |||
for i in g[v]: | |||
vops[i] = clifford.times_table[vops[i]][clifford.by_name["msqz"]] | |||
import tables as clifford | |||
class GraphState(object): | |||
def __init__(self): | |||
self.ngbh = defaultdict(set) | |||
self.vops = defaultdict(int) | |||
def add_edge(self, v1, v2): | |||
""" Add an edge between two vertices in the self """ | |||
if not v1 in self.ngbh: self.vops[v1] = clifford.by_name["hadamard"] | |||
if not v2 in self.ngbh: self.vops[v2] = clifford.by_name["hadamard"] | |||
self.ngbh[v1].add(v2) | |||
self.ngbh[v2].add(v1) | |||
def del_edge(self, v1, v2): | |||
""" Delete an edge between two vertices in the self """ | |||
self.ngbh[v1].remove(v2) | |||
self.ngbh[v2].remove(v1) | |||
def has_edge(self, v1, v2): | |||
""" Test existence of an edge between two vertices in the self """ | |||
return v2 in self.ngbh[v1] | |||
def toggle_edge(self, v1, v2): | |||
""" Toggle an edge between two vertices in the self """ | |||
if self.has_edge(v1, v2): | |||
self.del_edge(v1, v2) | |||
else: | |||
self.add_edge(v1, v2) | |||
def edgelist(self): | |||
""" Describe a graph as an edgelist """ | |||
edges = frozenset(frozenset((i, n)) | |||
for i, v in enumerate(self.ngbh.values()) | |||
for n in v) | |||
return [tuple(e) for e in edges] | |||
def remove_vop(self, a, avoid): | |||
""" Reduces VOP[a] to the identity, avoiding (if possible) the use of vertex b as a swapping partner """ | |||
others = self.ngbh[a] - {avoid} | |||
swap_qubit = others.pop() if others else avoid | |||
for v in reversed(clifford.decompositions[self.vops[a]]): | |||
self.local_complementation(a if v == "x" else swap_qubit) | |||
def cphase(self, a, b): | |||
""" Act a controlled-phase gate on two qubits """ | |||
if self.ngbh[a] - {b}: | |||
self.remove_vop(a, b) | |||
if self.ngbh[b] - {a}: | |||
self.remove_vop(b, a) | |||
if self.ngbh[a] - {b}: | |||
self.remove_vop(a, b) | |||
edge = self.has_edge(a, b) | |||
new_edge, vops[a], vops[b] = cphase_table[edge, vops[a], vops[b]] | |||
if new_edge != edge: | |||
self.toggle_edge(a, b) | |||
def local_complementation(self, v): | |||
""" As defined in LISTING 1 of Anders & Briegel """ | |||
for i, j in it.combinations(self.ngbh[v], 2): | |||
self.toggle_edge(i, j) | |||
# Update VOPs | |||
self.vops[v] = clifford.times_table[self.vops[v]][clifford.by_name["sqx"]] | |||
for i in self.ngbh[v]: | |||
self.vops[i] = clifford.times_table[self.vops[i]][clifford.by_name["msqz"]] | |||
@@ -9,7 +9,21 @@ import numpy as np | |||
from tqdm import tqdm | |||
import qi | |||
from functools import reduce | |||
from util import cache_to_disk | |||
import cPickle | |||
def cache_to_disk(file_name): | |||
""" A decorator to cache the output of a function to disk """ | |||
def wrap(func): | |||
def modified(*args, **kwargs): | |||
try: | |||
output = cPickle.load(open(file_name, "r")) | |||
except (IOError, ValueError): | |||
output = func(*args, **kwargs) | |||
with open(file_name, "w") as f: | |||
cPickle.dump(output, f) | |||
return output | |||
return modified | |||
return wrap | |||
# TODO: make this more efficient / shorter | |||
@@ -27,12 +41,13 @@ def compose_u(decomposition): | |||
us = (elements[c] for c in decomposition) | |||
return np.matrix(reduce(np.dot, us), dtype=complex) | |||
def name_of(vop): | |||
""" Get the formatted name of a VOP """ | |||
return "%s" % get_name[vop] if vop in get_name else "VOP%d" % vop | |||
@cache_to_disk("clifford_tables.pkl") | |||
@cache_to_disk("tables.cache") | |||
def construct_tables(): | |||
""" Constructs / caches multiplication and conjugation tables """ | |||
by_name = {name: find_up_to_phase(u)[0] for name, u in qi.by_name.items()} | |||
@@ -41,13 +56,14 @@ def construct_tables(): | |||
for i, u in enumerate(unitaries)] | |||
times_table = [[find_up_to_phase(u * v)[0] for v in unitaries] | |||
for u in tqdm(unitaries)] | |||
return by_name, get_name, conjugation_table, times_table | |||
cz_table = None | |||
return by_name, get_name, conjugation_table, times_table, cz_table | |||
# Various useful tables | |||
decompositions = ("xxxx", "xx", "zzxx", "zz", "zxx", "z", "zzz", "xxz", | |||
"xzx", "xzxxx", "xzzzx", "xxxzx", "xzz", "zzx", "xxx", "x", | |||
"zzzx", "xxzx", "zx", "zxxx", "xxxz", "xzzz", "xz", "xzxx") | |||
elements = {"x": qi.sqx, "z": qi.msqz} | |||
unitaries = [compose_u(d) for d in decompositions] | |||
by_name, get_name, conjugation_table, times_table = construct_tables() | |||
by_name, get_name, conjugation_table, times_table, cz_table = construct_tables() | |||
@@ -1,4 +1,4 @@ | |||
import clifford as lc | |||
import tables as lc | |||
from numpy import * | |||
from scipy.linalg import sqrtm | |||
import qi | |||
@@ -1,51 +1,52 @@ | |||
from graph import * | |||
from graph import GraphState | |||
import tables as lc | |||
def test_graph(): | |||
g, v = graph() | |||
add_edge(g, 0,1) | |||
add_edge(g, 1,2) | |||
add_edge(g, 2,0) | |||
assert g[0]==set([1,2]) | |||
g = GraphState() | |||
g.add_edge(0,1) | |||
g.add_edge(1,2) | |||
g.add_edge(2,0) | |||
assert g.ngbh[0]==set([1,2]) | |||
del_edge(g, 0,1) | |||
assert g[0]==set([2]) | |||
el = edgelist(g) | |||
g.del_edge(0,1) | |||
assert g.ngbh[0]==set([2]) | |||
el = g.edgelist() | |||
assert (1,2) in el | |||
assert not (0,1) in el | |||
assert len(el)==2 | |||
assert has_edge(g, 1,2) | |||
assert not has_edge(g, 0,1) | |||
assert g.has_edge(1,2) | |||
assert not g.has_edge(0,1) | |||
def test_local_complementation(): | |||
""" Test that local complementation works as expected """ | |||
g, vops = graph() | |||
add_edge(g, 0, 1) | |||
add_edge(g, 0, 2) | |||
add_edge(g, 1, 2) | |||
add_edge(g, 0, 3) | |||
local_complementation(g, vops, 0) | |||
assert has_edge(g, 0, 1) | |||
assert has_edge(g, 0, 2) | |||
assert not has_edge(g, 1, 2) | |||
assert has_edge(g, 3, 2) | |||
assert has_edge(g, 3, 1) | |||
g = GraphState() | |||
g.add_edge(0,1) | |||
g.add_edge(1,2) | |||
g.add_edge(2,0) | |||
g.add_edge(0,3) | |||
g.local_complementation(0) | |||
assert g.has_edge(0, 1) | |||
assert g.has_edge(0, 2) | |||
assert not g.has_edge(1, 2) | |||
assert g.has_edge(3, 2) | |||
assert g.has_edge(3, 1) | |||
# TODO: test VOP conditions | |||
def test_remove_vop(): | |||
""" Test that removing VOPs really works """ | |||
g, vops = graph() | |||
add_edge(g, 0, 1) | |||
add_edge(g, 0, 2) | |||
add_edge(g, 1, 2) | |||
add_edge(g, 0, 3) | |||
remove_vop(g, vops, 0, 1) | |||
assert vops[0] == clifford.by_name["identity"] | |||
remove_vop(g, vops, 1, 1) | |||
assert vops[1] == clifford.by_name["identity"] | |||
remove_vop(g, vops, 2, 1) | |||
assert vops[2] == clifford.by_name["identity"] | |||
remove_vop(g, vops, 0, 1) | |||
assert vops[0] == clifford.by_name["identity"] | |||
g = GraphState() | |||
g.add_edge(0,1) | |||
g.add_edge(1,2) | |||
g.add_edge(2,0) | |||
g.add_edge(0,3) | |||
g.remove_vop(0, 1) | |||
assert g.vops[0] == lc.by_name["identity"] | |||
g.remove_vop(1, 1) | |||
assert g.vops[1] == lc.by_name["identity"] | |||
g.remove_vop(2, 1) | |||
assert g.vops[2] == lc.by_name["identity"] | |||
g.remove_vop(0, 1) | |||
assert g.vops[0] == lc.by_name["identity"] | |||
@@ -0,0 +1,11 @@ | |||
from graph import GraphState | |||
import viz | |||
def test_viz(): | |||
g = GraphState() | |||
g.add_edge(0,1) | |||
g.add_edge(1,2) | |||
g.add_edge(2,0) | |||
g.add_edge(0,3) | |||
print g.vops | |||
viz.draw(g) |
@@ -1,14 +1,7 @@ | |||
""" | |||
Useful but messy crap | |||
""" | |||
import cPickle | |||
import networkx as nx | |||
from matplotlib import pyplot as plt | |||
from graph import * | |||
import clifford | |||
import numpy as np | |||
VOP_COLORS = ["red", "green", "blue", "orange", "yellow", "purple", "black", "white"] | |||
def cache_to_disk(file_name): | |||
""" A decorator to cache the output of a function to disk """ | |||
@@ -25,21 +18,3 @@ def cache_to_disk(file_name): | |||
return wrap | |||
def draw(graph, vops, filename="out.pdf", pos=None, ns=500): | |||
""" Draw a graph with networkx layout """ | |||
plt.clf() | |||
g = nx.from_edgelist(edgelist(graph)) | |||
pos = nx.spring_layout(g) if pos==None else pos | |||
colors = [VOP_COLORS[vop % len(VOP_COLORS)] for vop in vops] | |||
nx.draw_networkx_nodes(g, pos, node_color="white", node_size=ns) | |||
nx.draw_networkx_nodes(g, pos, node_color=colors, node_size=ns, alpha=.4) | |||
nx.draw_networkx_edges(g, pos, edge_color="gray") | |||
nx.draw_networkx_labels(g, pos, font_family="FreeSans") | |||
labels = {i: clifford.name_of(vops[i]) for i in g.nodes()} | |||
pos = {k: v + np.array([0, -.1]) for k, v in pos.items()} | |||
nx.draw_networkx_labels(g, pos, labels, font_family="FreeSans") | |||
plt.axis('off') | |||
plt.savefig(filename) | |||
return pos | |||
@@ -0,0 +1,25 @@ | |||
import networkx as nx | |||
from matplotlib import pyplot as plt | |||
import tables | |||
import numpy as np | |||
from graph import GraphState | |||
VOP_COLORS = ["red", "green", "blue", "orange", "yellow", "purple", "black", "white"] | |||
def draw(state, filename="out.pdf", pos=None, ns=500): | |||
""" Draw a graph with networkx layout """ | |||
plt.clf() | |||
graph = nx.from_edgelist(state.edgelist()) | |||
pos = nx.spring_layout(graph) if pos==None else pos | |||
colors = [VOP_COLORS[vop % len(VOP_COLORS)] for vop in state.vops.values()] | |||
nx.draw_networkx_nodes(graph, pos, node_color="white", node_size=ns) | |||
nx.draw_networkx_nodes(graph, pos, node_color=colors, node_size=ns, alpha=.4) | |||
nx.draw_networkx_edges(graph, pos, edge_color="gray") | |||
nx.draw_networkx_labels(graph, pos, font_family="FreeSans") | |||
labels = {i: tables.name_of(v) for i, v in state.vops.items()} | |||
pos = {k: v + np.array([0, -.1]) for k, v in pos.items()} | |||
nx.draw_networkx_labels(graph, pos, labels, font_family="FreeSans") | |||
plt.axis('off') | |||
plt.savefig(filename) | |||
return pos |