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Now working with global phase. TODO: remote symmetry

master
Pete Shadbolt 8 years ago
parent
commit
29ca94f8d7
1 changed files with 18 additions and 19 deletions
  1. +18
    -19
      abp/make_tables.py

+ 18
- 19
abp/make_tables.py View File

@@ -18,17 +18,14 @@ def find_clifford(needle, haystack):
""" Find the index of a given u within a list of unitaries, up to a global phase """ """ Find the index of a given u within a list of unitaries, up to a global phase """
needle = normalize_global_phase(needle) needle = normalize_global_phase(needle)
for i, t in enumerate(haystack): for i, t in enumerate(haystack):
for phase in range(8):
if np.allclose(t, np.exp(1j * phase * np.pi / 4.) * needle):
return i
if np.allclose(t, needle):
return i
raise IndexError raise IndexError




def normalize_global_phase(m): def normalize_global_phase(m):
""" Normalize the global phase of a matrix """ """ Normalize the global phase of a matrix """
f = m.flatten()
v = f[np.flatnonzero(f)[0]]
print v
v = [x for x in m.flatten() if np.abs(x)>0.001][0]
phase = np.arctan2(v.imag, v.real) % np.pi phase = np.arctan2(v.imag, v.real) % np.pi
rot = np.exp(-1j*phase) rot = np.exp(-1j*phase)
return rot * m if rot * v > 0 else -rot*m return rot * m if rot * v > 0 else -rot*m
@@ -39,6 +36,7 @@ def find_cz(bond, c1, c2, commuters, state_table):
# Figure out the target state # Figure out the target state
state = qi.bond if bond else qi.nobond state = qi.bond if bond else qi.nobond
target = qi.cz.dot(state_table[bond, c1, c2]) target = qi.cz.dot(state_table[bond, c1, c2])
target = normalize_global_phase(target)


# Choose the sets to search over # Choose the sets to search over
s1 = commuters if c1 in commuters else xrange(24) s1 = commuters if c1 in commuters else xrange(24)
@@ -47,9 +45,8 @@ def find_cz(bond, c1, c2, commuters, state_table):
# Find a match # Find a match
for bond, c1p, c2p in it.product([0, 1], s1, s2): for bond, c1p, c2p in it.product([0, 1], s1, s2):
trial = state_table[bond, c1p, c2p] trial = state_table[bond, c1p, c2p]
for phase in range(8):
if np.allclose(target, np.exp(1j * phase * np.pi / 4.) * trial):
return bond, c1p, c2p
if np.allclose(target, trial):
return bond, c1p, c2p


# Didn't find anything - this should never happen # Didn't find anything - this should never happen
raise IndexError raise IndexError
@@ -58,7 +55,7 @@ def find_cz(bond, c1, c2, commuters, state_table):
def compose_u(decomposition): def compose_u(decomposition):
""" Get the unitary representation of a particular decomposition """ """ Get the unitary representation of a particular decomposition """
matrices = ({"x": qi.sqx, "z": qi.msqz}[c] for c in decomposition) matrices = ({"x": qi.sqx, "z": qi.msqz}[c] for c in decomposition)
output = reduce(np.dot, matrices, np.matrix(np.eye(2, dtype=complex)))
output = reduce(np.dot, matrices, np.eye(2, dtype=complex))
return normalize_global_phase(output) return normalize_global_phase(output)




@@ -115,16 +112,18 @@ if __name__ == "__main__":
by_name = get_by_name(unitaries) by_name = get_by_name(unitaries)
conjugation_table = get_conjugation_table(unitaries) conjugation_table = get_conjugation_table(unitaries)
times_table = get_times_table(unitaries) times_table = get_times_table(unitaries)
# cz_table = get_cz_table(unitaries)
cz_table = get_cz_table(unitaries)


# Write it all to disk # Write it all to disk
directory = os.path.dirname(os.path.abspath(__file__))
where = os.path.join(directory, "tables/")
os.chdir(where)
np.save("unitaries.npy", unitaries)
np.save("conjugation_table.npy", conjugation_table)
np.save("times_table.npy", times_table)
#print __file__
#directory = os.path.dirname(os.path.realpath(__file__))
#print directory
#where = os.path.join(directory, "tables/")
#os.chdir(where)
#np.save("unitaries.npy", unitaries)
#np.save("conjugation_table.npy", conjugation_table)
#np.save("times_table.npy", times_table)
# np.save("cz_table.npy", cz_table) # np.save("cz_table.npy", cz_table)


with open("by_name.json", "wb") as f:
json.dump(by_name, f)
#with open("by_name.json", "wb") as f:
#json.dump(by_name, f)

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