-
Notifications
You must be signed in to change notification settings - Fork 5
/
logical_lattice_ops.py
322 lines (258 loc) · 11.9 KB
/
logical_lattice_ops.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
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
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
# Copyright (C) 2020-2021 - George Watkins and Alex Nguyen
#
# This library is free software; you can redistribute it and/or
# modify it under the terms of the GNU Lesser General Public
# License as published by the Free Software Foundation; either
# version 2.1 of the License, or (at your option) any later version.
#
# This library is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
# Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public
# License along with this library; if not, write to the Free Software
# Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301
# USA
import uuid
from collections import deque
from fractions import Fraction
from typing import Deque, Dict, List, Optional, Sequence, Union
import lsqecc.simulation.conditional_operation_control as coc
import lsqecc.simulation.qubit_state as qs
from lsqecc.pauli_rotations import (
Measurement,
PauliOpCircuit,
PauliOperator,
PauliProductOperation,
PauliRotation,
)
# TODO give a uuid to all patches
# Patches are now identified by uuids
class LogicalLatticeOperation(coc.ConditionalOperation):
def get_operating_patches(self) -> List[uuid.UUID]:
raise NotImplementedError
class SinglePatchMeasurement(LogicalLatticeOperation, coc.HasPauliEigenvalueOutcome):
def __init__(
self, qubit_uuid: uuid.UUID, op: PauliOperator, isNegative: Optional[bool] = False
):
self.qubit_uuid = qubit_uuid
self.op = op
self.isNegative = isNegative
def get_operating_patches(self) -> List[uuid.UUID]:
return [self.qubit_uuid]
class MultiBodyMeasurement(LogicalLatticeOperation, coc.HasPauliEigenvalueOutcome):
def __init__(
self, patch_pauli_operator_map: Dict[uuid.UUID, PauliOperator], isNegative: bool = False
):
self.patch_pauli_operator_map = patch_pauli_operator_map
self.isNegative = isNegative
def get_operating_patches(self) -> List[uuid.UUID]:
return list(self.patch_pauli_operator_map.keys())
class AncillaQubitPatchInitialization(LogicalLatticeOperation):
def __init__(self, qubit_state: qs.QubitState, qubit_uuid: uuid.UUID):
self.qubit_state = qubit_state
self.qubit_uuid = qubit_uuid
def get_operating_patches(self) -> List[uuid.UUID]:
return [self.qubit_uuid]
class LogicalPauli(LogicalLatticeOperation):
def __init__(self, qubit_uuid: uuid.UUID, pauli_matrix: PauliOperator):
self.qubit_uuid = qubit_uuid
self.pauli_matrix = pauli_matrix
def get_operating_patches(self) -> List[uuid.UUID]:
return [self.qubit_uuid]
class MagicStateRequest(LogicalLatticeOperation):
def __init__(self, qubit_uuid: uuid.UUID):
self.qubit_uuid = qubit_uuid
def get_operating_patches(self) -> List[uuid.UUID]:
return [self.qubit_uuid]
class LogicalLatticeComputation:
def __init__(self, circuit: PauliOpCircuit):
self.circuit = circuit
self.logical_qubit_uuid_map: Dict[int, uuid.UUID] = dict(
[(j, uuid.uuid4()) for j in range(circuit.qubit_num)]
)
self.ops: List[LogicalLatticeOperation] = []
self._load_circuit()
def _load_circuit(self):
def to_lattice_operation(
op: PauliProductOperation,
) -> Union[LogicalLatticeOperation, PauliRotation]:
if isinstance(op, PauliRotation):
return op
if isinstance(op, Measurement):
return self.circuit_to_patch_measurement(op)
raise Exception("Unsupported PauliProductOperation " + repr(op))
operations_queue: Deque[Union[PauliRotation, LogicalLatticeOperation]] = deque(
map(to_lattice_operation, self.circuit.ops)
)
while len(operations_queue) > 0:
current_op = operations_queue.popleft()
if isinstance(current_op, PauliRotation):
rotations_composer = RotationsComposer(self)
operations_queue.extendleft(
reversed(rotations_composer.expand_rotation(current_op))
)
else:
self.ops.append(current_op)
def circuit_to_patch_measurement(
self, m: PauliProductOperation
) -> Union[SinglePatchMeasurement, MultiBodyMeasurement]:
if not isinstance(m, Measurement):
raise TypeError("Make sure the passed argument is of type Measurement")
ret: Dict[uuid.UUID, PauliOperator] = dict()
for qubit_idx in range(m.qubit_num):
if m.get_op(qubit_idx) != PauliOperator.I:
ret[self.logical_qubit_uuid_map[qubit_idx]] = m.get_op(qubit_idx)
if len(ret) == 1:
return SinglePatchMeasurement(next(iter(ret)), ret[next(iter(ret))], m.isNegative)
return MultiBodyMeasurement(ret, m.isNegative)
def num_logical_qubits(self) -> int:
return len(self.logical_qubit_uuid_map)
def count_magic_states(self) -> int:
c = 0
for op in self.ops:
if isinstance(op, MagicStateRequest):
c += 1
return c
class RotationsComposer:
def __init__(self, computation: LogicalLatticeComputation):
self.computation = computation
def expand_rotation(
self, r: PauliRotation
) -> Sequence[Union[LogicalLatticeOperation, PauliProductOperation]]:
if r.rotation_amount == Fraction(1, 2):
return self.pi_over_two(r.get_ops_map(), r.get_condition())
elif r.rotation_amount == Fraction(1, 4):
return self.add_pi_over_four(r.get_ops_map(), False, r.get_condition())
elif r.rotation_amount == Fraction(-1, 4):
return self.add_pi_over_four(r.get_ops_map(), True, r.get_condition())
elif r.rotation_amount == Fraction(1, 8):
return self.add_pi_over_eight(r.get_ops_map(), False, r.get_condition())
elif r.rotation_amount == Fraction(-1, 8):
return self.add_pi_over_eight(r.get_ops_map(), True, r.get_condition())
else:
raise Exception(
"Unsupported pauli rotation angle pi*%d/%d"
% (r.rotation_amount.numerator, r.rotation_amount.denominator)
)
def pi_over_two(
self, ops_map: Dict[int, PauliOperator], condition: Optional[coc.EvaluationCondition]
) -> Sequence[LogicalLatticeOperation]:
paulis = []
for qubit_id, op in ops_map.items():
logical_pauli = LogicalPauli(self.computation.logical_qubit_uuid_map[qubit_id], op)
logical_pauli.set_condition(condition)
paulis.append(logical_pauli)
return paulis
def add_pi_over_four(
self,
ops_map: Dict[int, PauliOperator],
invert_correction: bool,
condition: Optional[coc.EvaluationCondition],
) -> Sequence[Union[LogicalLatticeOperation, PauliProductOperation]]:
"""See Figure 11 of Litinski's GoSC"""
ancilla_uuid = uuid.uuid4()
ancilla_initialization = AncillaQubitPatchInitialization(
qs.DefaultSymbolicStates.YPosEigenState, ancilla_uuid
)
multi_body_measurement = MultiBodyMeasurement({})
multi_body_measurement.set_condition(condition)
multi_body_measurement.patch_pauli_operator_map[ancilla_uuid] = PauliOperator.Z
ancilla_measurement = SinglePatchMeasurement(ancilla_uuid, PauliOperator.X)
corrective_rotation = PauliRotation(self.logical_qubit_num(), Fraction(1, 2))
corrective_rotation.set_condition(
PiOverFourCorrectionCondition(
multi_body_measurement, ancilla_measurement, invert_correction
)
)
for qubit_idx, op in ops_map.items():
patch = self.computation.logical_qubit_uuid_map[qubit_idx]
multi_body_measurement.patch_pauli_operator_map[patch] = op
corrective_rotation.change_single_op(qubit_idx, op)
return [
ancilla_initialization,
multi_body_measurement,
ancilla_measurement,
corrective_rotation,
]
def logical_qubit_num(self):
return len(self.computation.logical_qubit_uuid_map)
def add_pi_over_eight(
self,
ops_map: Dict[int, PauliOperator],
invert_correction: bool,
condition: Optional[coc.EvaluationCondition],
) -> Sequence[Union[LogicalLatticeOperation, PauliProductOperation]]:
"""Returns the correction terms. See Figure 11 of Litinski's GoSC"""
magic_state_uuid = uuid.uuid4()
multi_body_measurement = MultiBodyMeasurement({})
multi_body_measurement.set_condition(condition)
multi_body_measurement.patch_pauli_operator_map[magic_state_uuid] = PauliOperator.Z
first_corrective_rotation = PauliRotation(self.logical_qubit_num(), Fraction(1, 4))
first_corrective_rotation.set_condition(
PiOverEightCorrectionConditionPiOverFour(multi_body_measurement, invert_correction)
)
ancilla_measurement = SinglePatchMeasurement(magic_state_uuid, PauliOperator.X)
second_corrective_rotation = PauliRotation(self.logical_qubit_num(), Fraction(1, 2))
second_corrective_rotation.set_condition(
PiOverEightCorrectionConditionPiOverTwo(ancilla_measurement)
)
for qubit_idx, op in ops_map.items():
cell = self.computation.logical_qubit_uuid_map[qubit_idx]
multi_body_measurement.patch_pauli_operator_map[cell] = op
first_corrective_rotation.change_single_op(qubit_idx, op)
second_corrective_rotation.change_single_op(qubit_idx, op)
return [
MagicStateRequest(magic_state_uuid),
multi_body_measurement,
first_corrective_rotation,
ancilla_measurement,
second_corrective_rotation,
]
class PiOverFourCorrectionCondition(coc.EvaluationCondition):
def __init__(
self,
multi_body_measurement: MultiBodyMeasurement,
ancilla_measurement: SinglePatchMeasurement,
invert: bool,
):
self.multi_body_measurement = multi_body_measurement
self.ancilla_measurement = ancilla_measurement
self.invert = invert
def does_evaluate(self):
if not self.multi_body_measurement.does_evaluate():
return False
if (
self.multi_body_measurement.get_outcome() is None
or self.ancilla_measurement.get_outcome() is None
):
return True # Always evaluate an op when no simulation is present
out = (
self.multi_body_measurement.get_outcome() * self.ancilla_measurement.get_outcome() == -1
)
if self.invert:
out = not out
return out
class PiOverEightCorrectionConditionPiOverFour(coc.EvaluationCondition):
def __init__(self, multi_body_measurement: MultiBodyMeasurement, invert: bool):
self.multi_body_measurement = multi_body_measurement
self.invert = invert
def does_evaluate(self):
if not self.multi_body_measurement.does_evaluate():
return False
if self.multi_body_measurement.get_outcome() is None:
return True # Always evaluate an op when no simulation is present
out = self.multi_body_measurement.get_outcome() == -1
if self.invert:
out = not out
return out
class PiOverEightCorrectionConditionPiOverTwo(coc.EvaluationCondition):
def __init__(self, ancilla_measurement: SinglePatchMeasurement):
self.ancilla_measurement = ancilla_measurement
def does_evaluate(self):
if not self.ancilla_measurement.does_evaluate():
return False
if self.ancilla_measurement.get_outcome() is None:
return True # Always evaluate an op when no simulation is present
return self.ancilla_measurement.get_outcome() == -1