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@@ -15,15 +15,17 @@ decompositions = ("xxxx", "xx", "zzxx", "zz", "zxx", "z", "zzz", "xxz", |
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"xzx", "xzxxx", "xzzzx", "xxxzx", "xzz", "zzx", "xxx", "x", |
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"zzzx", "xxzx", "zx", "zxxx", "xxxz", "xzzz", "xz", "xzxx") |
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def conjugate(operator, unitary): |
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""" Returns transform * vop * transform^dagger and a phase in {+1, -1} """ |
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return measurement_table[operator, unitary] |
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def use_old_cz(): |
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""" Use the CZ table from A&B's code """ |
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global cz_table |
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from anders_cz import cz_table |
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def get_name(i): |
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""" Get the human-readable name of this clifford """ |
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@@ -101,15 +103,18 @@ def get_state_table(unitaries): |
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np.dot(kp, state).T) |
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return state_table |
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def get_measurement_entry(operator, unitary): |
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""" |
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Any Clifford group unitary will map an operator A in {I, X, Y, Z} |
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""" |
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Any Clifford group unitary will map an operator A in {I, X, Y, Z} |
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to an operator B in +-{I, X, Y, Z}. This finds that mapping. |
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""" |
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matrices = ({"x": qi.msqx, "z": qi.sqz}[c] for c in decompositions[unitary]) |
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matrices = ({"x": qi.msqx, "z": qi.sqz}[c] |
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for c in decompositions[unitary]) |
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unitary = reduce(np.dot, matrices, np.eye(2, dtype=complex)) |
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operator = qi.operators[operator] |
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new_operator = reduce(np.dot, (unitary, operator, qi.hermitian_conjugate(unitary))) |
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new_operator = reduce( |
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np.dot, (unitary, operator, qi.hermitian_conjugate(unitary))) |
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for i, o in enumerate(qi.operators): |
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if np.allclose(o, new_operator): |
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@@ -119,14 +124,16 @@ def get_measurement_entry(operator, unitary): |
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raise IndexError |
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def get_measurement_table(): |
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""" |
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Compute a table of transform * operation * transform^dagger |
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""" |
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Compute a table of transform * operation * transform^dagger |
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This is pretty unintelligible right now, we should probably compute the phase from unitaries instead |
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""" |
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measurement_table = np.zeros((4, 24, 2), dtype=complex) |
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for operator, unitary in it.product(range(4), range(24)): |
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measurement_table[operator, unitary] = [operator, unitary] |
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measurement_table[operator, unitary] = get_measurement_entry( |
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operator, unitary) |
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return measurement_table |
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@@ -160,24 +167,26 @@ def write_javascript_tables(): |
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path = os.path.dirname(sys.argv[0]) |
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path = os.path.split(path)[0] |
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with open(os.path.join(path, "static/scripts/tables.js"), "w") as f: |
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f.write("var tables = {\n"); |
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f.write("\tdecompositions : {},\n"\ |
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f.write("var tables = {\n") |
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f.write("\tdecompositions : {},\n" |
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.format(json.dumps(decompositions))) |
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f.write("\tconjugation_table : {},\n"\ |
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f.write("\tconjugation_table : {},\n" |
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.format(json.dumps(conjugation_table.tolist()))) |
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f.write("\ttimes_table : {},\n"\ |
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f.write("\ttimes_table : {},\n" |
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.format(json.dumps(times_table.tolist()))) |
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f.write("\tcz_table : {},\n"\ |
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f.write("\tcz_table : {},\n" |
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.format(json.dumps(cz_table.tolist()))) |
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f.write("\tclifford : {}\n"\ |
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f.write("\tclifford : {}\n" |
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.format(json.dumps(by_name))) |
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f.write("};"); |
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f.write("};") |
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def temp(filename): |
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""" Get a temporary path """ |
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tempdir = tempfile.gettempdir() |
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return os.path.join(tempdir, filename) |
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def compute_everything(): |
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""" Compute all lookup tables """ |
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global unitaries, by_name, conjugation_table, times_table, cz_table, measurement_table |
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@@ -188,6 +197,7 @@ def compute_everything(): |
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cz_table = get_cz_table(unitaries) |
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measurement_table = get_measurement_table() |
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def save_to_disk(): |
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""" Save all tables to disk """ |
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global unitaries, by_name, conjugation_table, times_table, cz_table, measurement_table |
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@@ -200,6 +210,7 @@ def save_to_disk(): |
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with open(temp("by_name.json"), "wb") as f: |
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json.dump(by_name, f) |
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def load_from_disk(): |
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""" Load all the tables from disk """ |
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global unitaries, by_name, conjugation_table, times_table, cz_table, measurement_table |
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