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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.08454 |
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| _version_ | 1866910341186715648 |
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| author | Zhao, Xinzhi Shao, Jianwei Zheng, Yi Zhang, Wen-Zhao Zhang, Chengjie |
| author_facet | Zhao, Xinzhi Shao, Jianwei Zheng, Yi Zhang, Wen-Zhao Zhang, Chengjie |
| contents | Quantum coherence plays an important role in quantum resource theory, which is strongly related with entanglement. Similar to the entanglement evolution equation, we find the coherence evolution equation of quantum states through fully and strictly incoherent operation (FSIO) channels. In order to quantify the full coherence of qudit states, we define G-coherence and convex roof of G-coherence, and prove that the G-coherence is a strong coherence monotone and the convex roof of G-coherence is a coherence measure under FSIO, respectively. Furthermore, we prove a coherence evolution equation for arbitrary $d$-dimensional quantum pure and mixed states under FSIO channels, which generalizes the entanglement evolution equation for bipartite pure states. Our results will play an important role in the simplification of dynamical coherence measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_08454 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Evolution equation for quantum coherence Zhao, Xinzhi Shao, Jianwei Zheng, Yi Zhang, Wen-Zhao Zhang, Chengjie Quantum Physics Quantum coherence plays an important role in quantum resource theory, which is strongly related with entanglement. Similar to the entanglement evolution equation, we find the coherence evolution equation of quantum states through fully and strictly incoherent operation (FSIO) channels. In order to quantify the full coherence of qudit states, we define G-coherence and convex roof of G-coherence, and prove that the G-coherence is a strong coherence monotone and the convex roof of G-coherence is a coherence measure under FSIO, respectively. Furthermore, we prove a coherence evolution equation for arbitrary $d$-dimensional quantum pure and mixed states under FSIO channels, which generalizes the entanglement evolution equation for bipartite pure states. Our results will play an important role in the simplification of dynamical coherence measure. |
| title | Evolution equation for quantum coherence |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2307.08454 |