Basis-independent Coherence and its Applications
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913605799116800 |
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| author | Jin, Zhi-Xiang Tao, Yuan-Hong Yu, Bing Fei, Shao-Ming |
| author_facet | Jin, Zhi-Xiang Tao, Yuan-Hong Yu, Bing Fei, Shao-Ming |
| contents | In the quantitative theory of quantum coherence, the amount of coherence for given states can be meaningfully discussed only when referring to a preferred basis. One of the objections to this quantification is that the amount of coherence is an intrinsically basis-dependent quantity. This limitation can, however, be lifted when considering a set of quantum states invariant under arbitrary unitary transformations. Thus, we analyze a basis-independent definition of quantum coherence, and the incoherent state is taken as the maximally mixed state. We describe the relationship between the basis-independent and the basis-dependent approaches and give several applications to show the advantages of the former method. The relations among basis-independent coherence, quantum entanglement, and quantum discord are discussed by using the relative entropy within a multipartite system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07449 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Basis-independent Coherence and its Applications Jin, Zhi-Xiang Tao, Yuan-Hong Yu, Bing Fei, Shao-Ming Quantum Physics In the quantitative theory of quantum coherence, the amount of coherence for given states can be meaningfully discussed only when referring to a preferred basis. One of the objections to this quantification is that the amount of coherence is an intrinsically basis-dependent quantity. This limitation can, however, be lifted when considering a set of quantum states invariant under arbitrary unitary transformations. Thus, we analyze a basis-independent definition of quantum coherence, and the incoherent state is taken as the maximally mixed state. We describe the relationship between the basis-independent and the basis-dependent approaches and give several applications to show the advantages of the former method. The relations among basis-independent coherence, quantum entanglement, and quantum discord are discussed by using the relative entropy within a multipartite system. |
| title | Basis-independent Coherence and its Applications |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2412.07449 |