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Quantum Information Processing

The non--reducible matrices and some special complex Hadamard matrices

  • 01-07-2024
Published in:
Authors
Mengfan Liang
Lin Chen
Fengyue Long
Xinyu Qiu
Published in
Quantum Information Processing | Issue 7/2024

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Abstract

The article delves into the classification of complex Hadamard matrices and their significance in quantum physics, particularly in relation to the Mutually Unbiased Bases (MUBs) problem. It introduces new findings on non-reducible matrices with analytic form, which are essential for understanding the MUBs problem in six-dimensional Hilbert space. The research also focuses on the classification of special complex Hadamard matrices, including symmetric reducible matrices and matrices containing specific submatrices. The study highlights the complex equivalence of these matrices to known matrices like the Tao matrix and matrices from specific families. The results contribute to the ongoing effort to solve the MUBs problem, offering new insights and potential solutions in quantum information theory.
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previous article Some constructions of quantum MDS codes and EAQMDS codes from GRS codes
next article New quantum codes from Hermitian dual-containing matrix-product codes
Title
The non--reducible matrices and some special complex Hadamard matrices
Authors
Mengfan Liang
Lin Chen
Fengyue Long
Xinyu Qiu
Publication date
01-07-2024
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2024
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-024-04482-y
This content is only visible if you are logged in and have the appropriate permissions.
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