量子纠缠的相关性判据
The Correlation Criterion of QuantumEntanglement
DOI: 10.12677/MP.2019.91003, PDF,  被引量   
作者: 刘光荣:空军工程大学基础部,陕西 西安
关键词: 量子纠缠量子态复合系统Quantum Entanglement Quantum State Composite System
摘要: 量子态可分性判断是量子纠缠理论的基本问题。本文根据两体纯态的Schmidt分解,给出了矩阵的秩,向量组的相关性判据。对于两体混合态,给出了可分的一个充分非必要条件,并举例说明。
Abstract: The separability judgment of quantum states is the basic problem of quantum entanglement theory. In this paper, based on Schmidt decomposition of two-body pure states, the correlation criteria of matrix rank and vector group are given. For the two-body mixed state, a sufficient and unnecessary condition for separability is given, and an example is given.
文章引用:刘光荣. 量子纠缠的相关性判据[J]. 现代物理, 2019, 9(1): 19-22. https://doi.org/10.12677/MP.2019.91003

参考文献

[1] Michael, A., Chuang, N.I.L., 赵千川. 量子计算与量子信息[M]. 北京: 清华大学出版社, 2004.
[2] Johnston, N., Kribs, D.W. and Teng, C.W. (2009) Operator Algebraic Formulation of the Stabilizer Formalism for Quantum Error Correction. Acta Applicandae Mathematicae, 108, 687-696.
[Google Scholar] [CrossRef
[3] Kribs, D.W., Laflamme, R., Poulin, D. and Lesosky, M. (2006) Operator Quantum Error Correction. Quantum Information and Computation, 6, 382-399.
[4] 张成杰. 量子纠缠的判定与度量[D]: [博士学位论文]. 合肥: 中国科学技术大学, 2010.
[5] 郑玉鳞. 量子纠缠与量子导引的判据研究[D]: [博士学位论文]. 合肥: 中国科学技术大学, 2016.