Constructions on Real Approximate Mutually Unbiased Bases

2021/10/13 by Minghui Yang, Yang, Minghui, Aixian Zhang +5 · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · #Coding theory and cryptography #DNA and Biological Computing #FOS: Physical sciences #Quantum Physics (quant-ph) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2110.06665

openalex publication_date 2021/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Mutually unbiased bases (MUB) have many applications in quantum information processing and quantum cryptography. Several complex MUB's in ℂ^d for some dimension d and with larger size have been constructed. On the other hand, real MUB's with larger size are rare which lead to consider constructing approximate MUB (AMUB). In this paper we present a general and useful way to get real AMUB in ℝ^2d from any complex AMUB in ℂ^d. From this method we present many new series of real AMUB's with parameters better than previous results.

Citations

• Real Mutually Unbiased Bases

Cited by

• Measures to characterise Approximate Mutually Unbiased Bases
• On Construction of Approximate Real Mutually Unbiased Bases for an infinite class of dimensions d \not≡ 0 \bmod 4

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