Superposition detection and QMA with non-collapsing measurements
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914009197838336 |
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| author | Bassirian, Roozbeh Marwaha, Kunal |
| author_facet | Bassirian, Roozbeh Marwaha, Kunal |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02532 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superposition detection and QMA with non-collapsing measurements Bassirian, Roozbeh Marwaha, Kunal Quantum Physics Computational Complexity 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. |
| title | Superposition detection and QMA with non-collapsing measurements |
| topic | Quantum Physics Computational Complexity |
| url | https://arxiv.org/abs/2403.02532 |