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Quantum Information Processing

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01-02-2024

Primitivity for random quantum channels

Authors: Jing Bai, Jianquan Wang, Zhi Yin

Published in: Quantum Information Processing | Issue 2/2024

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Abstract

In this paper, we consider the empirical spectrum distribution of the output of an n-fold composition of random quantum channels. As a corollary, we show that the random quantum channel is generically primitive. Our method is the graphical Weingarten calculus introduced by Collins and Nechita.

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Title: Primitivity for random quantum channels
Authors: Jing Bai
Jianquan Wang
Zhi Yin
Publication date: 01-02-2024
Publisher: Springer US
Published in: Quantum Information Processing / Issue 2/2024
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-023-04247-z

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