4.4 Article

Mutually Unbiased Property of Special Entangled Bases

期刊

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
卷 60, 期 7, 页码 2653-2661

出版社

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-021-04840-x

关键词

Special entangled basis with Schmidt number 2 (SEB2); Entangled state; Mutually unbiased bases

资金

  1. National Natural Science Foundation of China [11761073, 11901163]

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The research focuses on mutually unbiased bases formed by special entangled basis with fixed Schmidt number 2, establishing a systematic way of construction and proposing a general approach from different contexts. Detailed examples in various environments are provided, and limitations from previous studies are successfully eliminated.
We study mutually unbiased bases formed by special entangled basis with fixed Schmidt number 2 (MUSEB2s) in C-3 circle times C-4p(p is an element of Z(+)). Through analyzing the conditions MUSEB2s satisfy, a systematic way of the concrete construction of MUSEB2s in C-3 circle times C-4p is established. A general approach to constructing MUSMEB2s in C-3 circle times C-4p(p is an element of Z(+)) from MUSMEB2s in C-3 circle times C-4 is also presented. Detailed examples in C-3 circle times C-4, C-3 circle times C-8 and C-3 circle times C-12 are given. Especially, by choosing special entangled basis with fixed Schmidt number 2 (SEB2) from [J. Phys. A. Math. Theor. 48245301(2015)], the limitation of 3 inverted iota p in [Quantum Inf. Process. 17:58(2018)] is successfully deleted.

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