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QMA-complete problems

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

classification quant-ph
keywords problemsquantumcomputerqma-completeableaccessibleattemptbeen
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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.

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Cited by 1 Pith paper

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

  1. 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).

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