def test_clifford_1_qubit_generation(self):
"""Verify 1-qubit clifford indeed generates the correct group"""
clifford_dicts = [
{"stabilizer": ["+Z"], "destabilizer": ["+X"]},
{"stabilizer": ["+X"], "destabilizer": ["+Z"]},
{"stabilizer": ["+Y"], "destabilizer": ["+X"]},
{"stabilizer": ["+X"], "destabilizer": ["+Y"]},
{"stabilizer": ["+Z"], "destabilizer": ["+Y"]},
{"stabilizer": ["+Y"], "destabilizer": ["+Z"]},
{"stabilizer": ["-Z"], "destabilizer": ["+X"]},
{"stabilizer": ["+X"], "destabilizer": ["-Z"]},
{"stabilizer": ["-Y"], "destabilizer": ["+X"]},
{"stabilizer": ["+X"], "destabilizer": ["-Y"]},
{"stabilizer": ["-Z"], "destabilizer": ["-Y"]},
{"stabilizer": ["-Y"], "destabilizer": ["-Z"]},
{"stabilizer": ["-Z"], "destabilizer": ["-X"]},
{"stabilizer": ["-X"], "destabilizer": ["-Z"]},
{"stabilizer": ["+Y"], "destabilizer": ["-X"]},
{"stabilizer": ["-X"], "destabilizer": ["+Y"]},
{"stabilizer": ["-Z"], "destabilizer": ["+Y"]},
{"stabilizer": ["+Y"], "destabilizer": ["-Z"]},
{"stabilizer": ["+Z"], "destabilizer": ["-X"]},
{"stabilizer": ["-X"], "destabilizer": ["+Z"]},
{"stabilizer": ["-Y"], "destabilizer": ["-X"]},
{"stabilizer": ["-X"], "destabilizer": ["-Y"]},
{"stabilizer": ["+Z"], "destabilizer": ["-Y"]},
{"stabilizer": ["-Y"], "destabilizer": ["+Z"]},
]
cliffords = [Clifford.from_dict(i) for i in clifford_dicts]
utils = rb.CliffordUtils()
for n in range(24):
clifford = utils.clifford_1_qubit(n)
self.assertEqual(clifford, cliffords[n])
def test_clifford_2_qubit_generation(self):
"""Verify 2-qubit clifford indeed generates the correct group"""
utils = rb.CliffordUtils()
pauli_free_elements = [
0,
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,
576,
577,
578,
579,
580,
581,
582,
583,
584,
585,
586,
587,
588,
589,
590,
591,
592,
593,
594,
595,
596,
597,
598,
599,
600,
601,
602,
603,
604,
605,
606,
607,
608,
609,
610,
611,
612,
613,
614,
615,
616,
617,
618,
619,
620,
621,
622,
623,
624,
625,
626,
627,
628,
629,
630,
631,
632,
633,
634,
635,
636,
637,
638,
639,
640,
641,
642,
643,
644,
645,
646,
647,
648,
649,
650,
651,
652,
653,
654,
655,
656,
657,
658,
659,
660,
661,
662,
663,
664,
665,
666,
667,
668,
669,
670,
671,
672,
673,
674,
675,
676,
677,
678,
679,
680,
681,
682,
683,
684,
685,
686,
687,
688,
689,
690,
691,
692,
693,
694,
695,
696,
697,
698,
699,
700,
701,
702,
703,
704,
705,
706,
707,
708,
709,
710,
711,
712,
713,
714,
715,
716,
717,
718,
719,
720,
721,
722,
723,
724,
725,
726,
727,
728,
729,
730,
731,
732,
733,
734,
735,
736,
737,
738,
739,
740,
741,
742,
743,
744,
745,
746,
747,
748,
749,
750,
751,
752,
753,
754,
755,
756,
757,
758,
759,
760,
761,
762,
763,
764,
765,
766,
767,
768,
769,
770,
771,
772,
773,
774,
775,
776,
777,
778,
779,
780,
781,
782,
783,
784,
785,
786,
787,
788,
789,
790,
791,
792,
793,
794,
795,
796,
797,
798,
799,
800,
801,
802,
803,
804,
805,
806,
807,
808,
809,
810,
811,
812,
813,
814,
815,
816,
817,
818,
819,
820,
821,
822,
823,
824,
825,
826,
827,
828,
829,
830,
831,
832,
833,
834,
835,
836,
837,
838,
839,
840,
841,
842,
843,
844,
845,
846,
847,
848,
849,
850,
851,
852,
853,
854,
855,
856,
857,
858,
859,
860,
861,
862,
863,
864,
865,
866,
867,
868,
869,
870,
871,
872,
873,
874,
875,
876,
877,
878,
879,
880,
881,
882,
883,
884,
885,
886,
887,
888,
889,
890,
891,
892,
893,
894,
895,
896,
897,
898,
899,
5760,
5761,
5762,
5763,
5764,
5765,
5766,
5767,
5768,
5769,
5770,
5771,
5772,
5773,
5774,
5775,
5776,
5777,
5778,
5779,
5780,
5781,
5782,
5783,
5784,
5785,
5786,
5787,
5788,
5789,
5790,
5791,
5792,
5793,
5794,
5795,
5796,
5797,
5798,
5799,
5800,
5801,
5802,
5803,
5804,
5805,
5806,
5807,
5808,
5809,
5810,
5811,
5812,
5813,
5814,
5815,
5816,
5817,
5818,
5819,
5820,
5821,
5822,
5823,
5824,
5825,
5826,
5827,
5828,
5829,
5830,
5831,
5832,
5833,
5834,
5835,
5836,
5837,
5838,
5839,
5840,
5841,
5842,
5843,
5844,
5845,
5846,
5847,
5848,
5849,
5850,
5851,
5852,
5853,
5854,
5855,
5856,
5857,
5858,
5859,
5860,
5861,
5862,
5863,
5864,
5865,
5866,
5867,
5868,
5869,
5870,
5871,
5872,
5873,
5874,
5875,
5876,
5877,
5878,
5879,
5880,
5881,
5882,
5883,
5884,
5885,
5886,
5887,
5888,
5889,
5890,
5891,
5892,
5893,
5894,
5895,
5896,
5897,
5898,
5899,
5900,
5901,
5902,
5903,
5904,
5905,
5906,
5907,
5908,
5909,
5910,
5911,
5912,
5913,
5914,
5915,
5916,
5917,
5918,
5919,
5920,
5921,
5922,
5923,
5924,
5925,
5926,
5927,
5928,
5929,
5930,
5931,
5932,
5933,
5934,
5935,
5936,
5937,
5938,
5939,
5940,
5941,
5942,
5943,
5944,
5945,
5946,
5947,
5948,
5949,
5950,
5951,
5952,
5953,
5954,
5955,
5956,
5957,
5958,
5959,
5960,
5961,
5962,
5963,
5964,
5965,
5966,
5967,
5968,
5969,
5970,
5971,
5972,
5973,
5974,
5975,
5976,
5977,
5978,
5979,
5980,
5981,
5982,
5983,
5984,
5985,
5986,
5987,
5988,
5989,
5990,
5991,
5992,
5993,
5994,
5995,
5996,
5997,
5998,
5999,
6000,
6001,
6002,
6003,
6004,
6005,
6006,
6007,
6008,
6009,
6010,
6011,
6012,
6013,
6014,
6015,
6016,
6017,
6018,
6019,
6020,
6021,
6022,
6023,
6024,
6025,
6026,
6027,
6028,
6029,
6030,
6031,
6032,
6033,
6034,
6035,
6036,
6037,
6038,
6039,
6040,
6041,
6042,
6043,
6044,
6045,
6046,
6047,
6048,
6049,
6050,
6051,
6052,
6053,
6054,
6055,
6056,
6057,
6058,
6059,
6060,
6061,
6062,
6063,
6064,
6065,
6066,
6067,
6068,
6069,
6070,
6071,
6072,
6073,
6074,
6075,
6076,
6077,
6078,
6079,
6080,
6081,
6082,
6083,
10944,
10945,
10946,
10947,
10948,
10949,
10950,
10951,
10952,
10953,
10954,
10955,
10956,
10957,
10958,
10959,
10960,
10961,
10962,
10963,
10964,
10965,
10966,
10967,
10968,
10969,
10970,
10971,
10972,
10973,
10974,
10975,
10976,
10977,
10978,
10979,
]
cliffords = []
for n in pauli_free_elements:
clifford = utils.clifford_2_qubit(n)
phase = clifford.table.phase
for i in range(4):
self.assertFalse(phase[i])
for other_clifford in cliffords:
self.assertNotEqual(clifford, other_clifford)
cliffords.append(clifford)
pauli_check_elements_list = [
[0, 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540],
[
576,
900,
1224,
1548,
1872,
2196,
2520,
2844,
3168,
3492,
3816,
4140,
4464,
4788,
5112,
5436,
],
[
5760,
6084,
6408,
6732,
7056,
7380,
7704,
8028,
8352,
8676,
9000,
9324,
9648,
9972,
10296,
10620,
],
[
10944,
10980,
11016,
11052,
11088,
11124,
11160,
11196,
11232,
11268,
11304,
11340,
11376,
11412,
11448,
11484,
],
]
for pauli_check_elements in pauli_check_elements_list:
phases = []
table = None
for n in pauli_check_elements:
clifford = utils.clifford_2_qubit(n)
if table is None:
table = clifford.table.array
else:
self.assertTrue(np.all(table == clifford.table.array))
phase = tuple(clifford.table.phase)
for other_phase in phases:
self.assertNotEqual(phase, other_phase)
phases.append(phase)