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
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
|
#include "core/gates.h"
#include <math.h>
static const double INV_SQRT_2 = 0.7071067811865476;
struct PsiMatrix psi_rx_matrix(double theta)
{
double cos_h = cos(theta / 2.0);
double sin_h = sin(theta / 2.0);
return psi_matrix(2, 2, psi_new_complex(cos_h, 0.0), psi_new_complex(0.0, -sin_h),
psi_new_complex(0.0, -sin_h), psi_new_complex(cos_h, 0.0));
}
struct PsiMatrix psi_ry_matrix(double theta)
{
double cos_h = cos(theta / 2.0);
double sin_h = sin(theta / 2.0);
return psi_matrix(2, 2, psi_new_complex(cos_h, 0.0), psi_new_complex(-sin_h, 0.0),
psi_new_complex(sin_h, 0.0), psi_new_complex(cos_h, 0.0));
}
struct PsiMatrix psi_rz_matrix(double theta)
{
double half = theta / 2.0;
return psi_matrix(2, 2, psi_new_complex(cos(half), -sin(half)), psi_new_complex(0.0, 0.0),
psi_new_complex(0.0, 0.0), psi_new_complex(cos(half), sin(half)));
}
struct PsiMatrix psi_p_matrix(double theta)
{
return psi_matrix(2, 2, psi_new_complex(1.0, 0.0), psi_new_complex(0.0, 0.0),
psi_new_complex(0.0, 0.0), psi_new_complex(cos(theta), sin(theta)));
}
struct PsiMatrix psi_u1_matrix(double lambda)
{
return psi_p_matrix(lambda);
}
struct PsiMatrix psi_u2_matrix(double phi, double lambda)
{
return psi_matrix(
2, 2, psi_new_complex(INV_SQRT_2, 0.0),
psi_new_complex(-INV_SQRT_2 * cos(lambda), -INV_SQRT_2 * sin(lambda)),
psi_new_complex(INV_SQRT_2 * cos(phi), INV_SQRT_2 * sin(phi)),
psi_new_complex(cos(phi + lambda) * INV_SQRT_2, sin(phi + lambda) * INV_SQRT_2));
}
struct PsiMatrix psi_u3_matrix(double theta, double phi, double lambda)
{
double cos_h = cos(theta / 2.0);
double sin_h = sin(theta / 2.0);
return psi_matrix(2, 2, psi_new_complex(cos_h, 0.0),
psi_new_complex(-sin_h * cos(lambda), -sin_h * sin(lambda)),
psi_new_complex(sin_h * cos(phi), sin_h * sin(phi)),
psi_new_complex(cos_h * cos(phi + lambda), cos_h * sin(phi + lambda)));
}
struct PsiMatrix psi_crx_matrix(double theta)
{
double cos_h = cos(theta / 2.0);
double sin_h = sin(theta / 2.0);
struct PsiMatrix m = psi_identity_matrix(4);
psi_set_matrix(&m, 2, 2, psi_new_complex(cos_h, 0.0));
psi_set_matrix(&m, 2, 3, psi_new_complex(0.0, -sin_h));
psi_set_matrix(&m, 3, 2, psi_new_complex(0.0, -sin_h));
psi_set_matrix(&m, 3, 3, psi_new_complex(cos_h, 0.0));
return m;
}
struct PsiMatrix psi_cry_matrix(double theta)
{
double cos_h = cos(theta / 2.0);
double sin_h = sin(theta / 2.0);
struct PsiMatrix m = psi_identity_matrix(4);
psi_set_matrix(&m, 2, 2, psi_new_complex(cos_h, 0.0));
psi_set_matrix(&m, 2, 3, psi_new_complex(-sin_h, 0.0));
psi_set_matrix(&m, 3, 2, psi_new_complex(sin_h, 0.0));
psi_set_matrix(&m, 3, 3, psi_new_complex(cos_h, 0.0));
return m;
}
struct PsiMatrix psi_crz_matrix(double theta)
{
double half = theta / 2.0;
struct PsiMatrix m = psi_identity_matrix(4);
psi_set_matrix(&m, 2, 2, psi_new_complex(cos(half), -sin(half)));
psi_set_matrix(&m, 3, 3, psi_new_complex(cos(half), sin(half)));
return m;
}
struct PsiMatrix psi_cp_matrix(double theta)
{
struct PsiMatrix m = psi_identity_matrix(4);
psi_set_matrix(&m, 3, 3, psi_new_complex(cos(theta), sin(theta)));
return m;
}
struct PsiQuantumGate psi_hadamard_gate(void)
{
struct PsiMatrix m =
psi_matrix(2, 2, psi_new_complex(INV_SQRT_2, 0.0), psi_new_complex(INV_SQRT_2, 0.0),
psi_new_complex(INV_SQRT_2, 0.0), psi_new_complex(-INV_SQRT_2, 0.0));
return psi_new_quantum_gate_from_matrix("H", m);
}
struct PsiQuantumGate psi_pauli_x_gate(void)
{
struct PsiMatrix m = psi_matrix(2, 2, psi_new_complex(0.0, 0.0), psi_new_complex(1.0, 0.0),
psi_new_complex(1.0, 0.0), psi_new_complex(0.0, 0.0));
return psi_new_quantum_gate_from_matrix("X", m);
}
struct PsiQuantumGate psi_pauli_y_gate(void)
{
struct PsiMatrix m = psi_matrix(2, 2, psi_new_complex(0.0, 0.0), psi_new_complex(0.0, -1.0),
psi_new_complex(0.0, 1.0), psi_new_complex(0.0, 0.0));
return psi_new_quantum_gate_from_matrix("Y", m);
}
struct PsiQuantumGate psi_pauli_z_gate(void)
{
struct PsiMatrix m = psi_matrix(2, 2, psi_new_complex(1.0, 0.0), psi_new_complex(0.0, 0.0),
psi_new_complex(0.0, 0.0), psi_new_complex(-1.0, 0.0));
return psi_new_quantum_gate_from_matrix("Z", m);
}
struct PsiQuantumGate psi_s_gate(void)
{
struct PsiMatrix m = psi_matrix(2, 2, psi_new_complex(1.0, 0.0), psi_new_complex(0.0, 0.0),
psi_new_complex(0.0, 0.0), psi_new_complex(0.0, 1.0));
return psi_new_quantum_gate_from_matrix("S", m);
}
struct PsiQuantumGate psi_t_gate(void)
{
struct PsiMatrix m =
psi_matrix(2, 2, psi_new_complex(1.0, 0.0), psi_new_complex(0.0, 0.0),
psi_new_complex(0.0, 0.0), psi_new_complex(INV_SQRT_2, INV_SQRT_2));
return psi_new_quantum_gate_from_matrix("T", m);
}
struct PsiQuantumGate psi_sdg_gate(void)
{
struct PsiMatrix m = psi_matrix(2, 2, psi_new_complex(1.0, 0.0), psi_new_complex(0.0, 0.0),
psi_new_complex(0.0, 0.0), psi_new_complex(0.0, -1.0));
return psi_new_quantum_gate_from_matrix("S†", m);
}
struct PsiQuantumGate psi_tdg_gate(void)
{
struct PsiMatrix m =
psi_matrix(2, 2, psi_new_complex(1.0, 0.0), psi_new_complex(0.0, 0.0),
psi_new_complex(0.0, 0.0), psi_new_complex(INV_SQRT_2, -INV_SQRT_2));
return psi_new_quantum_gate_from_matrix("T†", m);
}
struct PsiQuantumGate psi_sx_gate(void)
{
struct PsiMatrix m = psi_matrix(2, 2, psi_new_complex(0.5, 0.5), psi_new_complex(0.5, -0.5),
psi_new_complex(0.5, -0.5), psi_new_complex(0.5, 0.5));
return psi_new_quantum_gate_from_matrix("√X", m);
}
struct PsiQuantumGate psi_sxdg_gate(void)
{
struct PsiMatrix m = psi_matrix(2, 2, psi_new_complex(0.5, -0.5), psi_new_complex(0.5, 0.5),
psi_new_complex(0.5, 0.5), psi_new_complex(0.5, -0.5));
return psi_new_quantum_gate_from_matrix("√X†", m);
}
struct PsiQuantumGate psi_identity_gate(void)
{
return psi_new_quantum_gate_from_matrix("I", psi_identity_matrix(2));
}
struct PsiQuantumGate psi_cnot_gate(void)
{
struct PsiMatrix m = psi_identity_matrix(4);
psi_set_matrix(&m, 2, 2, psi_new_complex(0.0, 0.0));
psi_set_matrix(&m, 3, 3, psi_new_complex(0.0, 0.0));
psi_set_matrix(&m, 2, 3, psi_new_complex(1.0, 0.0));
psi_set_matrix(&m, 3, 2, psi_new_complex(1.0, 0.0));
return psi_new_quantum_gate_from_matrix("CNOT", m);
}
struct PsiQuantumGate psi_cz_gate(void)
{
struct PsiMatrix m = psi_identity_matrix(4);
psi_set_matrix(&m, 3, 3, psi_new_complex(-1.0, 0.0));
return psi_new_quantum_gate_from_matrix("CZ", m);
}
struct PsiQuantumGate psi_swap_gate(void)
{
struct PsiMatrix m = psi_identity_matrix(4);
psi_set_matrix(&m, 1, 1, psi_new_complex(0.0, 0.0));
psi_set_matrix(&m, 2, 2, psi_new_complex(0.0, 0.0));
psi_set_matrix(&m, 1, 2, psi_new_complex(1.0, 0.0));
psi_set_matrix(&m, 2, 1, psi_new_complex(1.0, 0.0));
return psi_new_quantum_gate_from_matrix("SWAP", m);
}
struct PsiQuantumGate psi_iswap_gate(void)
{
struct PsiMatrix m = psi_identity_matrix(4);
psi_set_matrix(&m, 1, 1, psi_new_complex(0.0, 0.0));
psi_set_matrix(&m, 2, 2, psi_new_complex(0.0, 0.0));
psi_set_matrix(&m, 1, 2, psi_new_complex(0.0, 1.0));
psi_set_matrix(&m, 2, 1, psi_new_complex(0.0, 1.0));
return psi_new_quantum_gate_from_matrix("iSWAP", m);
}
struct PsiQuantumGate psi_sqrt_swap_gate(void)
{
struct PsiMatrix m = psi_identity_matrix(4);
psi_set_matrix(&m, 1, 1, psi_new_complex(0.5, 0.5));
psi_set_matrix(&m, 1, 2, psi_new_complex(0.5, -0.5));
psi_set_matrix(&m, 2, 1, psi_new_complex(0.5, -0.5));
psi_set_matrix(&m, 2, 2, psi_new_complex(0.5, 0.5));
return psi_new_quantum_gate_from_matrix("√SWAP", m);
}
struct PsiQuantumGate psi_toffoli_gate(void)
{
struct PsiMatrix m = psi_identity_matrix(8);
psi_set_matrix(&m, 6, 6, psi_new_complex(0.0, 0.0));
psi_set_matrix(&m, 7, 7, psi_new_complex(0.0, 0.0));
psi_set_matrix(&m, 6, 7, psi_new_complex(1.0, 0.0));
psi_set_matrix(&m, 7, 6, psi_new_complex(1.0, 0.0));
return psi_new_quantum_gate_from_matrix("CCNOT", m);
}
struct PsiQuantumGate psi_fredkin_gate(void)
{
struct PsiMatrix m = psi_identity_matrix(8);
psi_set_matrix(&m, 5, 5, psi_new_complex(0.0, 0.0));
psi_set_matrix(&m, 6, 6, psi_new_complex(0.0, 0.0));
psi_set_matrix(&m, 5, 6, psi_new_complex(1.0, 0.0));
psi_set_matrix(&m, 6, 5, psi_new_complex(1.0, 0.0));
return psi_new_quantum_gate_from_matrix("CSWAP", m);
}
|
