Report
A distribution testing oracle separation between QMA and QCMA
| العنوان: | A distribution testing oracle separation between QMA and QCMA |
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| المؤلفون: | Natarajan, Anand, Nirkhe, Chinmay |
| المصدر: | Quantum 8, 1377 (2024) |
| سنة النشر: | 2022 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | It is a long-standing open question in quantum complexity theory whether the definition of $\textit{non-deterministic}$ quantum computation requires quantum witnesses $(\textsf{QMA})$ or if classical witnesses suffice $(\textsf{QCMA})$. We make progress on this question by constructing a randomized classical oracle separating the respective computational complexity classes. Previous separations [Aaronson-Kuperberg (CCC'07), Fefferman-Kimmel (MFCS'18)] required a quantum unitary oracle. The separating problem is deciding whether a distribution supported on regular un-directed graphs either consists of multiple connected components (yes instances) or consists of one expanding connected component (no instances) where the graph is given in an adjacency-list format by the oracle. Therefore, the oracle is a distribution over $n$-bit boolean functions. Comment: 45 pages; corrected acceptance date |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.22331/q-2024-06-17-1377 |
| URL الوصول: | http://arxiv.org/abs/2210.15380 |
| رقم الانضمام: | edsarx.2210.15380 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.22331/q-2024-06-17-1377 |
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