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Pete Shadbolt 8 years ago
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4257c31e57
1 changed files with 24 additions and 5 deletions
  1. +24
    -5
      local_cliffords.py

+ 24
- 5
local_cliffords.py View File

@@ -28,22 +28,41 @@ s_names = ["i", "p", "pp", "ppp"]
c_rotations = [i, h, h*p, h*p*p, h*p*p*p, h*p*p*h] c_rotations = [i, h, h*p, h*p*p, h*p*p*p, h*p*p*h]
c_names = ["i", "h", "hp", "hpp", "hppp", "hpph"] c_names = ["i", "h", "hp", "hpp", "hppp", "hpph"]


def get_sign(x):
""" Get the sign of a number """
return "+" if x>=0 else "-"

def identify_pauli(m): def identify_pauli(m):
""" Given a signed Pauli matrix, name it. """ """ Given a signed Pauli matrix, name it. """
for sign in [+1, -1]:
for label, pauli in zip("xyz", paulis):
for sign_label, sign in (("+", +1), ("-", -1)):
for pauli_label, pauli in zip("xyz", paulis):
if allclose(sign*pauli, m): if allclose(sign*pauli, m):
return "{}{}".format("+" if sign>0 else "-", label)
return "{}{}".format(sign_label, pauli_label)


def get_action(u): def get_action(u):
""" Get the action of a Pauli matrix on three qubits """ """ Get the action of a Pauli matrix on three qubits """
return tuple(identify_pauli(u*p*u.H) for p in paulis) return tuple(identify_pauli(u*p*u.H) for p in paulis)



def cliff_action(permutation, op):
""" Computes the action of a particular local Clifford """




if __name__ == '__main__': if __name__ == '__main__':
permutations = ["xyz", "yxz", "zyx", "xzy", "yzx", "zxy"]
labels = ("a" , "b" , "c" , "d" , "e" , "f")
signs = (+1 , -1 , -1 , -1 , +1 , +1)
permutations = ("xyz" , "yxz" , "zyx" , "xzy" , "yzx" , "zxy")

for label, sign, permutation in zip(labels, signs, permutations):
for op in "ixyz":
signs = [sign if (a == op or op == "i") else -sign for a in "xyz"]
print label, op
print tuple("{}{}".format(get_sign(x), y) for x, y in zip(signs, permutation))




#print "{}{} = ({}, {})".format(op, label, "+" if sign>=0 else "-", permutation),
print




#for s, sn in zip(s_rotations, s_names): #for s, sn in zip(s_rotations, s_names):


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