Additivity violation of quantum channels via strong convergence to semi-circular and circular elements
Additivity violation of quantum channels via strong convergence to semi-circular and circular elements
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通过半圆形和圆形元素的强收敛破坏量子通道的可加性
DOI：
10.1142/s2010326322500125
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Shinya Sato
中科院分区：
文献类型：
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作者：
Motohisa Fukuda;Takahiro Hasebe;Shinya Sato
由Haar分布酉阵定义的随机量子信道在大多数情况下证明了量子通信中表现出非经典性质的最小输出熵的可加性破坏。在这篇文章中，我们研究了由Gauss酉系综和Ginibre系综构成的随机完全正映射。利用半循环系统和自由概率循环系统，我们不仅证明了最大输出范数在渐近区域的乘性违犯，而且通过Haagerup不等式证明了一类新的随机量子通道的可加性违犯。
Additivity violation of minimum output entropy, which shows non-classical properties in quantum communication, had been proved in most cases for random quantum channels defined by Haar-distributed unitary matrices. In this paper, we investigate random completely positive maps made of Gaussian Unitary Ensembles and Ginibre Ensembles regarding this matter. Using semi-circular systems and circular systems of free probability, we not only show the multiplicativity violation of maximum output norms in the asymptotic regimes but also prove the additivity violation via Haagerup inequality for a new class of random quantum channels constructed by rectifying the above completely positive maps based on strong convergence.