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arXiv · 2403.02532

Superposition detection and QMA with non-collapsing measurements

Roozbeh Bassirian·Kunal Marwaha
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Abstract

We prove that QMA where the verifier may also make a single non-collapsing measurement is equal to NEXP, resolving an open question of Aaronson. We show this is a corollary to a modified proof of QMA+ = NEXP [arXiv:2306.13247]. At the core of many results inspired by Blier and Tapp [arXiv:0709.0738] is an unphysical property testing problem deciding whether a quantum state is close to an element of a fixed basis.

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Roozbeh Bassirian, Kunal Marwaha. 2024-03-04. Superposition detection and QMA with non-collapsing measurements. https://doi.org/10.22331/q-2025-08-28-1839

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