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In the original definition of EQP, each language was computed by a single quantum Turing machine (QTM), using a finite gate set whose amplitudes could be computed in polynomial time. However, some results have required the use of an infinite gate set. The amplitudes in the gate set are typically
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with zero error probability and in guaranteed worst-case polynomial time. It is the quantum analogue of the complexity class
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are expected to run in polynomial time, but may not always do so.
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80:Learn how and when to remove this message
751:Continuous-variable quantum information
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45:may contain improper references to
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1515:Theoretical computer science stubs
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1480:Probabilistically checkable proof
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122:bounded-error quantum computing
94:computational complexity theory
13:
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746:Adiabatic quantum computation
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98:exact quantum polynomial time
797:Topological quantum computer
174:. You can help Knowledge by
168:theoretical computer science
7:
1075:Quantum information science
242:Quantum information science
10:
1536:
1496:List of complexity classes
470:quantum gate teleportation
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56:by removing references to
1520:Quantum complexity theory
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599:Quantum Fourier transform
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495:Post-quantum cryptography
438:Entanglement distillation
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120:. This is in contrast to
1485:Interactive proof system
1085:Quantum mechanics topics
780:Quantum machine learning
756:One-way quantum computer
609:Quantum phase estimation
510:Quantum key distribution
443:Monogamy of entanglement
112:that can be solved by a
692:Randomized benchmarking
554:Amplitude amplification
1439:Arithmetical hierarchy
792:Quantum Turing machine
785:quantum neural network
532:Quantum secret sharing
170:–related article is a
47:user-generated content
1434:Grzegorczyk hierarchy
1429:Exponential hierarchy
1361:Considered infeasible
864:Entanglement-assisted
825:quantum convolutional
500:Quantum coin flipping
465:Quantum teleportation
426:entanglement-assisted
256:DiVincenzo's criteria
1424:Polynomial hierarchy
1254:Suspected infeasible
675:processor benchmarks
604:Quantum optimization
487:Quantum cryptography
298:physical vs. logical
62:used inappropriately
1453:Families of classes
1134:Considered feasible
388:Quantum speed limit
283:Quantum programming
278:Quantum information
132:algebraic numbers.
1127:Complexity classes
1037:Forest/Rigetti QCS
773:quantum logic gate
559:Bernstein–Vazirani
546:Quantum algorithms
421:Classical capacity
305:Quantum processors
288:Quantum simulation
108:) is the class of
58:unreliable sources
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1501:
1444:Boolean hierarchy
1417:Class hierarchies
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901:Linear optical QC
682:Quantum supremacy
636:complexity theory
589:Quantum annealing
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477:Superdense coding
266:Quantum computing
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110:decision problems
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60:, where they are
16:(Redirected from
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809:error correction
738:computing models
704:Relaxation times
594:Quantum counting
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431:quantum capacity
378:No-teleportation
363:No-communication
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159:P ≟ NP
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124:, where quantum
114:quantum computer
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27:Computer science
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18:EQP (complexity)
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924:Neutral atom QC
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875:implementations
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768:Quantum circuit
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458:quantum network
453:Quantum channel
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353:No-broadcasting
343:Gottesman–Knill
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1286:co-NP-complete
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1057:many others...
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143:Complexity Zoo
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953:Spin qubit QC
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761:cluster state
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569:Deutsch–Jozsa
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505:Quantum money
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414:communication
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104:or sometimes
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70:February 2023
63:
59:
55:
49:
48:
43:This article
41:
32:
31:
19:
981:Charge qubit
906:KLM protocol
855:
719:
709:
648:
403:Purification
333:Eastin–Knill
176:expanding it
165:
158:
141:
130:
105:
101:
97:
91:
76:
67:
52:Please help
44:
1333:#P-complete
1271:NP-complete
1186:NL-complete
1012:programming
991:Phase qubit
896:Circuit QED
368:No-deleting
310:cloud-based
1509:Categories
1388:ELEMENTARY
1213:P-complete
1052:libquantum
986:Flux qubit
891:Cavity QED
840:Bacon–Shor
830:stabilizer
358:No-cloning
136:References
126:algorithms
54:improve it
1383:2-EXPTIME
958:NV center
393:Threshold
373:No-hiding
338:Gleason's
1378:EXPSPACE
1373:NEXPTIME
1141:DLOGTIME
1020:OpenQASM
996:Transmon
873:Physical
673:Quantum
574:Grover's
348:Holevo's
321:Theorems
271:timeline
261:NISQ era
1368:EXPTIME
1276:NP-hard
1010:Quantum
948:Kane QC
807:Quantum
735:Quantum
664:PostBQP
634:Quantum
619:Simon's
412:Quantum
249:General
1475:NSPACE
1470:DSPACE
1345:PSPACE
1028:IBM QX
1024:Qiskit
963:NMR QC
941:-based
845:Steane
816:Codes
614:Shor's
520:SARG04
328:Bell's
162:
1465:NTIME
1460:DTIME
1281:co-NP
850:Toric
293:Qubit
166:This
1293:TFNP
1042:Cirq
1033:Quil
939:Spin
835:Shor
515:BB84
448:LOCC
172:stub
1408:ALL
1308:QMA
1298:FNP
1240:APX
1235:BQP
1230:BPP
1220:ZPP
1151:ACC
856:gnu
820:CSS
697:XEB
659:QMA
654:QIP
649:EQP
644:BQP
624:VQE
579:HHL
383:PBR
148:EQP
102:EQP
92:In
1511::
1403:RE
1393:PR
1340:IP
1328:#P
1323:PP
1318:⊕P
1313:PH
1303:AM
1266:NP
1261:UP
1245:FP
1225:RP
1203:CC
1198:SC
1193:NC
1181:NL
1176:FL
1171:RL
1166:SL
1156:TC
1146:AC
1047:Q#
146::
106:QP
96:,
1398:R
1208:P
1161:L
1119:e
1112:t
1105:v
1035:–
1026:–
1022:–
723:2
720:T
713:1
710:T
234:e
227:t
220:v
203:e
196:t
189:v
178:.
118:P
100:(
83:)
77:(
72:)
68:(
64:.
50:.
20:)
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