Entanglement Detection by Approximate Entanglement Witnesses
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911782125174784 |
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| author | Dai, Samuel Bao, Ning |
| author_facet | Dai, Samuel Bao, Ning |
| contents | The problem of determining whether a given quantum state is separable is known to be computationally difficult. We develop an approach to this problem based on approximations of convex polytopes in high dimensions. By showing that a convex polytope constructed from a polynomial number of hyperplanes approximates the Euclidean ball arbitrarily well in high dimensions, we find evidence that a polynomial-sized set of approximate entanglement witnesses is potentially sufficient to determine the entanglement of a state with high probability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14755 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entanglement Detection by Approximate Entanglement Witnesses Dai, Samuel Bao, Ning Quantum Physics The problem of determining whether a given quantum state is separable is known to be computationally difficult. We develop an approach to this problem based on approximations of convex polytopes in high dimensions. By showing that a convex polytope constructed from a polynomial number of hyperplanes approximates the Euclidean ball arbitrarily well in high dimensions, we find evidence that a polynomial-sized set of approximate entanglement witnesses is potentially sufficient to determine the entanglement of a state with high probability. |
| title | Entanglement Detection by Approximate Entanglement Witnesses |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.14755 |