Move operators to qi.py

.gitignore

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

clifford.py

@@ -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)
 
 

ct.txt

@@ -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]

qi.py

@@ -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)

tests/test_clifford.py

@@ -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)
 

tt.txt

@@ -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]]