/
test_jamiolkowski.py
177 lines (140 loc) · 8.2 KB
/
test_jamiolkowski.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
import numpy as np
import pygsti.tools.basistools as bt
from pygsti.models.modelconstruction import create_operation
from pygsti.modelpacks.legacy import std1Q_XYI as std1Q
from pygsti.models import ExplicitOpModel
from pygsti.baseobjs import statespace
from pygsti.baseobjs import Basis
from pygsti.tools import jamiolkowski as j
from ..util import BaseCase
class JamiolkowskiBasisTester(BaseCase):
def setUp(self):
#Set Model objects to "strict" mode for testing
ExplicitOpModel._strict = True
# density matrix == 3x3 block diagonal matrix: a 2x2 block followed by a 1x1 block
self.stateSpaceDims = [(4,), (1,)]
self.stateSpaceUDims = [(2,), (1,)]
self.std = Basis.cast('std', 9)
self.gm = Basis.cast('gm', 9)
self.stdSmall = Basis.cast('std', [4, 1])
self.gmSmall = Basis.cast('gm', [4, 1])
#labels which give a tensor product interp. for the states within each density matrix block
self.stateSpaceLabels = [('Qhappy',), ('Lsad',)]
# Adjust for deprecation of _create_operation
self.sslbls = statespace.ExplicitStateSpace(self.stateSpaceLabels, self.stateSpaceUDims)
#Build a test gate -- old # X(pi,Qhappy)*LX(pi,0,2)
self.testGate = create_operation("LX(pi,0,2)", self.sslbls, self.stdSmall)
self.testGateGM_mx = bt.change_basis(self.testGate, self.stdSmall, self.gmSmall)
self.expTestGate_mx = bt.flexible_change_basis(self.testGate, self.stdSmall, self.std)
self.expTestGateGM_mx = bt.change_basis(self.expTestGate_mx, self.std, self.gm)
def checkBasis(self, cmb):
#Op with Jamio map on gate in std and gm bases
Jmx1 = j.jamiolkowski_iso(self.testGate, op_mx_basis=self.stdSmall,
choi_mx_basis=cmb)
Jmx2 = j.jamiolkowski_iso(self.testGateGM_mx, op_mx_basis=self.gmSmall,
choi_mx_basis=cmb)
#print("Jmx1.shape = ", Jmx1.shape)
#Make sure these yield the same trace == 1 matrix
self.assertArraysAlmostEqual(Jmx1, Jmx2)
self.assertAlmostEqual(np.trace(Jmx1), 1.0)
#Op on expanded gate in std and gm bases
JmxExp1 = j.jamiolkowski_iso(self.expTestGate_mx, op_mx_basis=self.std, choi_mx_basis=cmb)
JmxExp2 = j.jamiolkowski_iso(self.expTestGateGM_mx, op_mx_basis=self.gm, choi_mx_basis=cmb)
#print("JmxExp1.shape = ", JmxExp1.shape)
#Make sure these are the same as operating on the contracted basis
self.assertArraysAlmostEqual(Jmx1, JmxExp1)
self.assertArraysAlmostEqual(Jmx1, JmxExp2)
#Reverse transform should yield back the operation matrix
revTestGate_mx = j.jamiolkowski_iso_inv(Jmx1, choi_mx_basis=cmb,
op_mx_basis=self.gmSmall)
self.assertArraysAlmostEqual(revTestGate_mx, self.testGateGM_mx)
#Reverse transform without specifying stateSpaceDims, then contraction, should yield same result
revExpTestGate_mx = j.jamiolkowski_iso_inv(Jmx1, choi_mx_basis=cmb, op_mx_basis=self.std)
self.assertArraysAlmostEqual(bt.resize_std_mx(revExpTestGate_mx, 'contract', self.std, self.stdSmall),
self.testGate)
def test_std_basis(self):
#mx_dim = sum([ int(np.sqrt(d)) for d in ])
cmb = Basis.cast('std', self.stateSpaceDims)
self.checkBasis(cmb)
def test_gm_basis(self):
#mx_dim = sum([ int(np.sqrt(d)) for d in self.stateSpaceDims])
cmb = Basis.cast('gm', self.stateSpaceDims)
self.checkBasis(cmb)
class JamiolkowskiOpsTester(BaseCase):
def setUp(self):
self.gm = Basis.cast('gm', 4)
self.pp = Basis.cast('pp', 4)
self.std = Basis.cast('std', 4)
self.mxGM = np.array([[1, 0, 0, 0],
[0, 0, 1, 0],
[0,-1, 0, 0],
[0, 0, 0, 1]], 'complex')
self.mxStd = bt.change_basis(self.mxGM, self.gm, self.std)
self.mxPP = bt.change_basis(self.mxGM, self.gm, self.pp)
def test_sum_of_negative_choi_evals(self):
sumOfNeg = j.sum_of_negative_choi_eigenvalues(std1Q.target_model())
self.assertAlmostEqual(sumOfNeg, 0.0)
sumOfNegWt = j.sum_of_negative_choi_eigenvalues(std1Q.target_model(), {'Gx': 1.0, 'Gy': 0.5})
self.assertAlmostEqual(sumOfNegWt, 0.0)
sumsOfNeg = j.sums_of_negative_choi_eigenvalues(std1Q.target_model())
self.assertArraysAlmostEqual(sumsOfNeg, np.zeros(3, 'd')) # 3 gates in std.target_model()
magsOfNeg = j.magnitudes_of_negative_choi_eigenvalues(std1Q.target_model())
self.assertArraysAlmostEqual(magsOfNeg, np.zeros(12, 'd')) # 3 gates * 4 evals each = 12
def test_fast_jamiolkowski_iso(self):
choiStd = j.jamiolkowski_iso(self.mxStd, self.std, self.std)
fastChoiStd = j.fast_jamiolkowski_iso_std(self.mxStd, self.std)
fastChoiStd2 = j.fast_jamiolkowski_iso_std(self.mxGM, self.gm)
fastChoiStd3 = j.fast_jamiolkowski_iso_std(self.mxPP, self.pp)
self.assertArraysAlmostEqual(choiStd, fastChoiStd) # Test against standard call
self.assertArraysAlmostEqual(fastChoiStd, fastChoiStd2)
self.assertArraysAlmostEqual(fastChoiStd, fastChoiStd3)
fastGateStd = j.fast_jamiolkowski_iso_std_inv(fastChoiStd, self.std)
fastGateGM = j.fast_jamiolkowski_iso_std_inv(fastChoiStd, self.gm)
fastGatePP = j.fast_jamiolkowski_iso_std_inv(fastChoiStd, self.pp)
self.assertArraysAlmostEqual(fastGateStd, self.mxStd)
self.assertArraysAlmostEqual(fastGateGM, self.mxGM)
self.assertArraysAlmostEqual(fastGatePP, self.mxPP)
def test_jamiolkowski_iso(self):
choiStd = j.jamiolkowski_iso(self.mxStd, self.std, self.std)
choiStd2 = j.jamiolkowski_iso(self.mxGM, self.gm, self.std)
choiStd3 = j.jamiolkowski_iso(self.mxPP, self.pp, self.std)
choiGM = j.jamiolkowski_iso(self.mxStd, self.std, self.gm)
choiGM2 = j.jamiolkowski_iso(self.mxGM, self.gm, self.gm)
choiGM3 = j.jamiolkowski_iso(self.mxPP, self.pp, self.gm)
choiPP = j.jamiolkowski_iso(self.mxStd, self.std, self.pp)
choiPP2 = j.jamiolkowski_iso(self.mxGM, self.gm, self.pp)
choiPP3 = j.jamiolkowski_iso(self.mxPP, self.pp, self.pp)
# Reconstruct standard matrix: GS = sum_ij Jij (BSi x BSj^*)
mxReconstruct = np.zeros_like(self.mxStd)
M = mxReconstruct.shape[0]
dmDim = int(round(np.sqrt(self.mxStd.shape[0]))) # Will need to undo renormalization
Bs = self.std.elements
for i in range(M):
for k in range(M):
term = choiStd[i, k] * np.kron(Bs[i], np.conjugate(Bs[k]))
mxReconstruct += term * dmDim
self.assertArraysAlmostEqual(mxReconstruct, self.mxStd)
self.assertArraysAlmostEqual(choiStd, choiStd2)
self.assertArraysAlmostEqual(choiStd, choiStd3)
self.assertArraysAlmostEqual(choiGM, choiGM2)
self.assertArraysAlmostEqual(choiGM, choiGM3)
self.assertArraysAlmostEqual(choiPP, choiPP2)
self.assertArraysAlmostEqual(choiPP, choiPP3)
gateStd = j.jamiolkowski_iso_inv(choiStd, self.std, self.std)
gateStd2 = j.jamiolkowski_iso_inv(choiGM, self.gm, self.std)
gateStd3 = j.jamiolkowski_iso_inv(choiPP, self.pp, self.std)
gateGM = j.jamiolkowski_iso_inv(choiStd, self.std, self.gm)
gateGM2 = j.jamiolkowski_iso_inv(choiGM, self.gm, self.gm)
gateGM3 = j.jamiolkowski_iso_inv(choiPP, self.pp, self.gm)
gatePP = j.jamiolkowski_iso_inv(choiStd, self.std, self.pp)
gatePP2 = j.jamiolkowski_iso_inv(choiGM, self.gm, self.pp)
gatePP3 = j.jamiolkowski_iso_inv(choiPP, self.pp, self.pp)
self.assertArraysAlmostEqual(gateStd, self.mxStd)
self.assertArraysAlmostEqual(gateStd2, self.mxStd)
self.assertArraysAlmostEqual(gateStd3, self.mxStd)
self.assertArraysAlmostEqual(gateGM, self.mxGM)
self.assertArraysAlmostEqual(gateGM2, self.mxGM)
self.assertArraysAlmostEqual(gateGM3, self.mxGM)
self.assertArraysAlmostEqual(gatePP, self.mxPP)
self.assertArraysAlmostEqual(gatePP2, self.mxPP)
self.assertArraysAlmostEqual(gatePP3, self.mxPP)