| 闫栋华，王银珠*.多体非k积态基于Quantum-Jensen-ShannonDivergence的关联测度[J].海南师范大学学报自科版,2022,35(4):353-358 |
| 多体非k积态基于Quantum-Jensen-ShannonDivergence的关联测度 |
| Correlation Measure Based on Quantum-Jensen-ShannonDivergence for Multipartite Non-k-product States |
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| DOI： |
| 中文关键词: 多体量子系统 Quantum-Jensen-Shannon-Divergence k积态 量子关联度 一致A͂(k)
信道 |
| 英文关键词: multipartite quantum system quantum-Jensen-Shannon-Divergence k-product states correlation measure identical-A͂(k)
-channel |
| 基金项目:山西省自然科学基金项目（201901D111254） |
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| 中文摘要: |
| 在量子信息理论中，量子关联是一种极其重要的物理资源。本文利用了 QuantumJensen-Shannon-Divergence（QJSD）的定义及其性质，获得了多体非k积态基于QJSD的关联测度，并
证明了它满足关联测度的必要物理性质，包括非负性、局部酉操作下的不变性、凸性、以及在完全
正的保迹线性映射下的压缩性和在局部非相干辅助子系统下的不变性。进一步引进了相对于k体
分划的量子信道的概念，记为一致A͂(k)
信道，并讨论了所定义的关联测度在一致A͂(k)
信道演化下的
影响。 |
| 英文摘要: |
| In the theory of quantum information, quantum correlation is an extremely important physical resource. In this
paper, the definition of Quantum-Jensen-Shannon-Divergence (QJSD) and its properties are used to obtain a correlation
measure based on QJSD for multipartite non-k-productstates, and it′s proved that it satisfies the necessary physical proper⁃
ties of the correlation measure,including nonnegativity, invariance under local unitary operations, convexity, and compress⁃
ibility under completely positive trace-preserving linear maps and invariance under local incoherent auxiliary subsystems.
Next the notion of a quantum channel with resepct to k-partition is introduced, which is denoted as identical-A͂(k)
-channel
and the influence of the above correlation measure under the identical-A͂(k)
-channel is discussed. |
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