Toward Separating QMA from QCMA with a Classical Oracle
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917827757211648 |
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| author | Zhandry, Mark |
| author_facet | Zhandry, Mark |
| contents | QMA is the class of languages that can be decided by an efficient quantum verifier given a quantum witness, whereas QCMA is the class of such languages where the efficient quantum verifier only is given a classical witness. A challenging fundamental goal in quantum query complexity is to find a classical oracle separation for these classes. In this work, we offer a new approach towards proving such a separation that is qualitatively different than prior work, and show that our approach is sound assuming a natural statistical conjecture which may have other applications to quantum query complexity lower bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01718 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toward Separating QMA from QCMA with a Classical Oracle Zhandry, Mark Quantum Physics Computational Complexity QMA is the class of languages that can be decided by an efficient quantum verifier given a quantum witness, whereas QCMA is the class of such languages where the efficient quantum verifier only is given a classical witness. A challenging fundamental goal in quantum query complexity is to find a classical oracle separation for these classes. In this work, we offer a new approach towards proving such a separation that is qualitatively different than prior work, and show that our approach is sound assuming a natural statistical conjecture which may have other applications to quantum query complexity lower bounds. |
| title | Toward Separating QMA from QCMA with a Classical Oracle |
| topic | Quantum Physics Computational Complexity |
| url | https://arxiv.org/abs/2411.01718 |