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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Simulation

Quantum Merlin-Arthur with an internally separable proof

arXiv
Authors: Roozbeh Bassirian, Bill Fefferman, Itai Leigh, Kunal Marwaha, Pei Wu

Year

2024

Paper ID

37671

Status

Preprint

Abstract Read

~2 min

Abstract Words

74

Citations

N/A

Abstract

We find a modification to QMA where having one quantum proof is strictly less powerful than having two unentangled proofs, assuming EXP ne NEXP. This gives a new route to prove QMA(2) = NEXP that overcomes the primary drawback of a recent approach [arXiv:2402.18790 , arXiv:2306.13247] (QIP 2024). Our modification endows each proof with a form of *multipartite* unentanglement: after tracing out one register, a small number of qubits are separable from the rest of the state.

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  • We find a modification to QMA where having one quantum proof is strictly less powerful than having two unentangled proofs, assuming EXP ne NEXP.

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