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arXiv · 2410.19152

Quantum Merlin-Arthur with an internally separable proof

Roozbeh Bassirian·Bill Fefferman·Itai Leigh·Kunal Marwaha·Pei Wu
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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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Roozbeh Bassirian, Bill Fefferman, Itai Leigh, Kunal Marwaha, Pei Wu. 2024-10-24. Quantum Merlin-Arthur with an internally separable proof. https://arxiv.org/abs/2410.19152

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