Two Types of Maximally Entangled Bases and Their Mutually Unbiased Property in \(\mathbb {C}^{d}\otimes \mathbb {C}^{d^{\prime }}\)
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- 作者：Laizhen Luo ; Xiaoyu Li ; Yuanhong Tao
- 关键词：Maximally entangled state ; Mutually unbiased bases ; Maximally entangled basis
- 刊名：International Journal of Theoretical Physics
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：55
- 期：12
- 页码：5069-5076
- 全文大小：198 KB
- 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Physics
Quantum Physics
Elementary Particles and Quantum Field Theory
Mathematical and Computational Physics - 出版者：Springer Netherlands
- ISSN：1572-9575
- 卷排序：55
文摘
We first construct a new maximally entangled basis in bipartite systems \(\mathbb {C}^{d} \otimes \mathbb {C}^{kd}\ (k\in Z^{+})\) which is diffrent from the one in Tao et al. (Quantum Inf. Process. 14, 2291 (2015)), then we generalize such maximally entangled basis into arbitrary bipartite systems \(\mathbb {C}^{d} \otimes \mathbb {C}^{d^{\prime }}\). We also study the mutual unbiased property of the two types of maximally entangled bases in bipartite systems \(\mathbb {C}^{d} \otimes \mathbb {C}^{kd}\). In particular, explicit examples in \(\mathbb {C}^{2} \otimes \mathbb {C}^{4}\), \(\mathbb {C}^{2} \otimes \mathbb {C}^{8}\) and \(\mathbb {C}^{3} \otimes \mathbb {C}^{3}\) are presented.