Pith. sign in

REVIEW 3 cited by

QMA-complete problems

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1212.6312 v3 pith:2QKVOEHZ submitted 2012-12-27 quant-ph

classification quant-ph
keywords problemsquantumcomputerqma-completeableaccessibleattemptbeen
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

In this paper we give an overview of the quantum computational complexity class QMA and a description of known QMA-complete problems to date. Such problems are believed to be difficult to solve, even with a quantum computer, but have the property that if a purported solution to the problem is given, a quantum computer would easily be able to verify whether it is correct. An attempt has been made to make this paper as self-contained as possible so that it can be accessible to computer scientists, physicists, mathematicians, and quantum chemists. Problems of interest to all of these professions can be found here.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A quantum algorithm for Khovanov homology

    math.GT 2025-01 conditional novelty 8.0 of 10

    A conditional quantum algorithm for estimating the Betti numbers of Khovanov homology, together with DQC1, BQP, and #P hardness results for harder approximation regimes.

  2. Deciding Whether a C-Q Channel Preserves a Bit is QCMA-Complete

    quant-ph 2025-08 unverdicted novelty 7.0 of 10

    Deciding if a classical-quantum channel can exactly preserve a single bit is QCMA-complete, with optimal witnesses characterized as computational basis states (minimum) and |+>, |-> states (maximum).

  3. Euclidean-Monte-Carlo-informed ground-state preparation for quantum simulation of scalar field theory

    quant-ph 2025-06 conditional novelty 6.0 of 10

    A classical pipeline turns Euclidean Monte Carlo correlation data into a variational ansatz and an efficient quantum circuit for the (1+1)D phi^4 ground state.

Pith tools