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Move operators to qi.py

master
Pete Shadbolt 8年前
コミット
0b26721118
6個のファイルの変更45行の追加24行の削除
  1. +1
    -0
      .gitignore
  2. +15
    -11
      clifford.py
  3. +0
    -1
      ct.txt
  4. +24
    -0
      qi.py
  5. +5
    -11
      tests/test_clifford.py
  6. +0
    -1
      tt.txt

+ 1
- 0
.gitignore ファイルの表示

@@ -1,3 +1,4 @@
tables.pkl
*.pdf
papers/
# Project-specific


+ 15
- 11
clifford.py ファイルの表示

@@ -11,33 +11,37 @@ Following the prescription of Anders (thesis pg. 26):
> indicated by the column header and the opposite sign otherwise.
"""

from numpy import *
import numpy as np
from qi import *
from tqdm import tqdm
import cPickle,os

def find_up_to_phase(u):
""" Find the index of a given u within a list of unitaries, up to a global phase """
global unitaries
for i, t in enumerate(unitaries):
for phase in range(8):
if allclose(t, exp(1j*phase*pi/4.)*u):
if np.allclose(t, np.exp(1j*phase*np.pi/4.)*u):
return i, phase
raise IndexError

def construct_tables():
""" Constructs multiplication and conjugation tables """
permutations = (id, ha, ph, ha*ph, ha*ph*ha, ha*ph*ha*ph)
signs = (id, px, py, pz)
unitaries = [p*s for p in permutations for s in signs]
conjugation_table = [find_up_to_phase(u.H)[0] for i, u in enumerate(unitaries)]
times_table = [[find_up_to_phase(u*v)[0] for v in unitaries]
for u in tqdm(unitaries, "Building times-table")]
with open("tables.pkl", "w") as f:
cPickle.dump((conjugation_table, times_table), f)

id = matrix(eye(2, dtype=complex))
px = matrix([[0, 1], [1, 0]], dtype=complex)
py = matrix([[0, -1j], [1j, 0]], dtype=complex)
pz = matrix([[1, 0], [0, -1]], dtype=complex)
ha = matrix([[1, 1], [1, -1]], dtype=complex) / sqrt(2)
ph = matrix([[1, 0], [0, 1j]], dtype=complex)
permutations = (id, ha, ph, ha*ph, ha*ph*ha, ha*ph*ha*ph)
signs = (id, px, py, pz)
unitaries = [p*s for p in permutations for s in signs]

# Build / reload lookup tables
if not os.path.exists("tables.pkl"):
construct_tables()

with open("tables.pkl") as f:
conjugation_table, times_table = cPickle.load(f)



+ 0
- 1
ct.txt ファイルの表示

@@ -1 +0,0 @@
[0, 1, 2, 3, 4, 7, 6, 5, 11, 9, 10, 8, 20, 22, 23, 21, 17, 16, 18, 19, 12, 15, 13, 14]

+ 24
- 0
qi.py ファイルの表示

@@ -0,0 +1,24 @@
#!/usr/bin/python
# -*- coding: utf-8 -*-

"""
Exposes a few basic QI operators
"""

import numpy as np
from scipy.linalg import sqrtm

id = np.matrix(np.eye(2, dtype=complex))
px = np.matrix([[0, 1], [1, 0]], dtype=complex)
py = np.matrix([[0, -1j], [1j, 0]], dtype=complex)
pz = np.matrix([[1, 0], [0, -1]], dtype=complex)
ha = np.matrix([[1, 1], [1, -1]], dtype=complex) / np.sqrt(2)
ph = np.matrix([[1, 0], [0, 1j]], dtype=complex)

sqy = sqrtm(1j * py)
msqy = sqrtm(-1j * py)
sqz = sqrtm(1j * pz)
msqz = sqrtm(-1j * pz)
sqx = sqrtm(1j * px)
msqx = sqrtm(-1j * px)
paulis = (px, py, pz)

+ 5
- 11
tests/test_clifford.py ファイルの表示

@@ -1,14 +1,8 @@
import clifford as lc
from numpy import *
from scipy.linalg import sqrtm
from qi import *

sqy = sqrtm(1j * lc.py)
msqy = sqrtm(-1j * lc.py)
sqz = sqrtm(1j * lc.pz)
msqz = sqrtm(-1j * lc.pz)
sqx = sqrtm(1j * lc.px)
msqx = sqrtm(-1j * lc.px)
paulis = (lc.px, lc.py, lc.pz)


def identify_pauli(m):
@@ -21,9 +15,9 @@ def identify_pauli(m):

def test_find_up_to_phase():
""" Test that slightly suspicious function """
assert lc.find_up_to_phase(lc.id) == (0, 0)
assert lc.find_up_to_phase(lc.px) == (1, 0)
assert lc.find_up_to_phase(exp(1j*pi/4.)*lc.ha) == (4, 7)
assert lc.find_up_to_phase(id) == (0, 0)
assert lc.find_up_to_phase(px) == (1, 0)
assert lc.find_up_to_phase(exp(1j*pi/4.)*ha) == (4, 7)

def get_action(u):
""" What does this unitary operator do to the Paulis? """
@@ -42,7 +36,7 @@ def test_we_have_24_matrices():

def test_we_have_all_useful_gates():
""" Check that all the interesting gates are included up to a global phase """
common_us = lc.id, lc.px, lc.py, lc.pz, lc.ha, lc.ph, sqz, msqz, sqy, msqy, sqx, msqx
common_us = id, px, py, pz, ha, ph, sqz, msqz, sqy, msqy, sqx, msqx
for u in common_us:
lc.find_up_to_phase(u)



+ 0
- 1
tt.txt ファイルの表示

@@ -1 +0,0 @@
[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23], [1, 0, 3, 2, 7, 6, 5, 4, 10, 11, 8, 9, 15, 14, 13, 12, 17, 16, 19, 18, 22, 23, 20, 21], [2, 3, 0, 1, 6, 7, 4, 5, 9, 8, 11, 10, 13, 12, 15, 14, 19, 18, 17, 16, 23, 22, 21, 20], [3, 2, 1, 0, 5, 4, 7, 6, 11, 10, 9, 8, 14, 15, 12, 13, 18, 19, 16, 17, 21, 20, 23, 22], [4, 5, 6, 7, 0, 1, 2, 3, 12, 13, 14, 15, 8, 9, 10, 11, 21, 20, 23, 22, 17, 16, 19, 18], [5, 4, 7, 6, 3, 2, 1, 0, 14, 15, 12, 13, 11, 10, 9, 8, 20, 21, 22, 23, 19, 18, 17, 16], [6, 7, 4, 5, 2, 3, 0, 1, 13, 12, 15, 14, 9, 8, 11, 10, 22, 23, 20, 21, 18, 19, 16, 17], [7, 6, 5, 4, 1, 0, 3, 2, 15, 14, 13, 12, 10, 11, 8, 9, 23, 22, 21, 20, 16, 17, 18, 19], [8, 9, 10, 11, 21, 20, 23, 22, 3, 2, 1, 0, 17, 16, 19, 18, 15, 14, 13, 12, 4, 5, 6, 7], [9, 8, 11, 10, 22, 23, 20, 21, 1, 0, 3, 2, 18, 19, 16, 17, 14, 15, 12, 13, 6, 7, 4, 5], [10, 11, 8, 9, 23, 22, 21, 20, 2, 3, 0, 1, 16, 17, 18, 19, 12, 13, 14, 15, 7, 6, 5, 4], [11, 10, 9, 8, 20, 21, 22, 23, 0, 1, 2, 3, 19, 18, 17, 16, 13, 12, 15, 14, 5, 4, 7, 6], [12, 13, 14, 15, 16, 17, 18, 19, 7, 6, 5, 4, 20, 21, 22, 23, 11, 10, 9, 8, 0, 1, 2, 3], [13, 12, 15, 14, 19, 18, 17, 16, 5, 4, 7, 6, 23, 22, 21, 20, 10, 11, 8, 9, 2, 3, 0, 1], [14, 15, 12, 13, 18, 19, 16, 17, 6, 7, 4, 5, 21, 20, 23, 22, 8, 9, 10, 11, 3, 2, 1, 0], [15, 14, 13, 12, 17, 16, 19, 18, 4, 5, 6, 7, 22, 23, 20, 21, 9, 8, 11, 10, 1, 0, 3, 2], [16, 17, 18, 19, 12, 13, 14, 15, 20, 21, 22, 23, 7, 6, 5, 4, 1, 0, 3, 2, 10, 11, 8, 9], [17, 16, 19, 18, 15, 14, 13, 12, 22, 23, 20, 21, 4, 5, 6, 7, 0, 1, 2, 3, 8, 9, 10, 11], [18, 19, 16, 17, 14, 15, 12, 13, 21, 20, 23, 22, 6, 7, 4, 5, 2, 3, 0, 1, 9, 8, 11, 10], [19, 18, 17, 16, 13, 12, 15, 14, 23, 22, 21, 20, 5, 4, 7, 6, 3, 2, 1, 0, 11, 10, 9, 8], [20, 21, 22, 23, 11, 10, 9, 8, 19, 18, 17, 16, 0, 1, 2, 3, 4, 5, 6, 7, 12, 13, 14, 15], [21, 20, 23, 22, 8, 9, 10, 11, 17, 16, 19, 18, 3, 2, 1, 0, 5, 4, 7, 6, 14, 15, 12, 13], [22, 23, 20, 21, 9, 8, 11, 10, 18, 19, 16, 17, 1, 0, 3, 2, 7, 6, 5, 4, 15, 14, 13, 12], [23, 22, 21, 20, 10, 11, 8, 9, 16, 17, 18, 19, 2, 3, 0, 1, 6, 7, 4, 5, 13, 12, 15, 14]]

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