IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508

This article has now been updated. Please use the final version.

k-uniform states and quantum combinatorial designs
Shanqi PANGXiankui PENGXiao ZHANGRuining ZHANGCuijiao YIN
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JOURNAL RESTRICTED ACCESS Advance online publication

Article ID: 2021EAP1090

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Abstract

Quantum combinatorial designs are gaining popularity in quantum information theory. Quantum Latin squares can be used to construct mutually unbiased maximally entangled bases and unitary error bases. Here we present a general method for constructing quantum Latin arrangements from irredundant orthogonal arrays. As an application of the method, many new quantum Latin arrangements are obtained. We also find a sufficient condition such that the improved quantum orthogonal arrays [10] are equivalent to quantum Latin arrangements. We further prove that an improved quantum orthogonal array can produce a quantum uniform state.

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© 2021 The Institute of Electronics, Information and Communication Engineers
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