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BQP

In computational complexity theory, bounded-error quantum polynomial time (BQP) is the class of decision problems solvable by a quantum computer in polynomial time, with an error probability of at most 1/3 for all instances. It is the quantum analogue to the complexity class BPP.

Relationship to other complexity classes, Definition & Overview

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Overview

Definition

Relationship to other complexity classes

Advanced semantic analysis

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Map overview Semantic statistics

BQP

Nodes49
Edges48
Triples41
Avg. degree1.96
Density0.040816
Components1

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BQP

Top relations

related to Relationship to other complexity classes · 11
BQP → AWPP, BPP, BQPBQP, If, In, Informally, Just, PP, PSPACE, The, Turing
related to BQP and PSPACE · 7
BQP → APPROX-QCIRCUIT-PROB, Consider, PSPACE, Richard Feynman, Sum, The, To
related to BQP and EXP · 6
BQP → APPROX-QCIRCUIT-PROB, BQP-complete, Claim, EXP, To, We
related to P and BQP · 5
BQP → Below, It, NP, The, We
related to A complete problem for Promise-BQP · 4
BQP → Completeness, NP-completeness, Promise-BQP, Similar
related to Definition · 3
BQP → For, Pr, Qn
related to External links · 3
BQP → BQP Archived, Complexity Zoo, Wayback Machine
is a · 1
BQP → class of promise problems that can be solved by a uniform family of quantum circuits
related to BQP and PP · 1
BQP → PP

Important terminology Word statistics

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Important terminology

displaystyle quantum rangle polynomial complexity problem circuit algorithm otimes sum time qubits mathsf alpha state probability approx-qcircuit-prob problems class oracle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
BQPis aclass of promise problems that can be solved by a uniform family of quantum circuits0.90text
BQPrelated to A complete problem for Promise-BQPPromise-BQP0.60section
BQPrelated to A complete problem for Promise-BQPCompleteness0.60section
BQPrelated to A complete problem for Promise-BQPSimilar0.60section
BQPrelated to A complete problem for Promise-BQPNP-completeness0.60section
BQPrelated to BQP and EXPWe0.60section
BQPrelated to BQP and EXPTo0.60section
BQPrelated to BQP and EXPEXP0.60section
BQPrelated to BQP and EXPAPPROX-QCIRCUIT-PROB0.60section
BQPrelated to BQP and EXPBQP-complete0.60section
BQPrelated to BQP and EXPClaim0.60section
BQPrelated to BQP and PPPP0.60section

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