A new construction of mutually unbiased maximally entangled bases in ℂq⊗ℂq-Reference-Cited by-同舟云学术

A new construction of mutually unbiased maximally entangled bases in ℂq⊗ℂq

Published:2021-03 Issue:02 Volume:19 Page:2150014
ISSN:0219-7499
Container-title:International Journal of Quantum Information
language:en
Short-container-title:Int. J. Quantum Inform.

Author:

Xu Dengming¹,Li Feiya²,Hu Wei³

Affiliation:

1. Sino-European Institute of Aviation Engineering, Civil Aviation University of China, 300300 Tianjin, P. R. China

2. College of Science, Civil Aviation University of China, 300300 Tianjin, P. R. China

3. School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, MOE, Beijing Normal University, 100875 Beijing, P. R. China

Abstract

This paper is devoted to constructing mutually unbiased maximally entangled bases (MUMEBs) in [Formula: see text], where [Formula: see text] is a prime power. We prove that [Formula: see text] when [Formula: see text] is even, and [Formula: see text] when [Formula: see text] is odd, where [Formula: see text] is the maximal size of the sets of MUMEBs in [Formula: see text]. This highly raises the lower bounds of [Formula: see text] given in D. Xu, Quant. Inf. Process. 18(7) (2019) 213; D. Xu, Quant. Inf. Process. 19(6) (2020) 175. It should de noted that the method used in the paper is completely different from that in D. Xu, Quant. Inf. Process. 18(7) (2019) 213; D. Xu, Quant. Inf. Process. 19(6) (2020) 175.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219749921500143

Reference15 articles.

1. A New Proof for the Existence of Mutually Unbiased Bases

2. Optimal state-determination by mutually unbiased measurements

3. Entanglement-assisted random access codes

4. Security of Quantum Key Distribution Usingd-Level Systems

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