Bell inequality violations with random mutually unbiased bases

Tabia, Gelo Noel; Bavana, Varun Satya Raj; Yang, Shih-Xian; Liang, Yeong-Cherng

doi:10.1103/physreva.106.012209

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“…Mutually unbiased bases (MUBs), first introduced by Schwinger, [1] have many important applications in the field of quantum information theory; for instance, Bell inequalities, [2] quantum key distribution protocols, [3] quantum state tomography, [4] and non-Gaussianity of quantum states in quantum optics communities. [5] A complete set of MUBs can be used to construct an optimal scheme of orthogonal quantum measurement for the quantum system.…”

Section: Introductionmentioning

confidence: 99%

New construction of mutually unbiased bases for odd-dimensional state space

Wang 王,

Zheng 郑

2024

Chinese Phys. B

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We study the construction of mutually unbiased bases in Hilbert space for composite dimensions d which are not prime powers. We explore the results for composite dimensions which are true for prime power dimensions. And then provide a method for selecting mutually unbiased vectors from the eigenvectors of generalized Pauli matrices to construct mutually unbiased bases. In particular, we present four mutually unbiased bases in C15.

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