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arXiv · 2410.19270

Characterizations of Strongly Entanglement Breaking channels for infinite-dimensional quantum systems

Bui Ngoc Muoi·Nung-Sing Sze
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Abstract

Entanglement breaking (EB) channels, as completely positive and trace-preserving linear operators, sever the entanglement between the input system and other systems. In the realm of infinite-dimensional systems, a related concept known as strongly entanglement breaking (SEB) channels emerges. This paper delves into characterizations of SEB channels, delineating necessary and sufficient conditions for a channel to be classified as SEB, especially with respect to the commutativity of its range. Moreover, we demonstrate that every closed self-adjoint subspace of trace-zero operators, with the trace norm, is the null space of a SEB channel.

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Bui Ngoc Muoi, Nung-Sing Sze. 2024-10-25. Characterizations of Strongly Entanglement Breaking channels for infinite-dimensional quantum systems. https://arxiv.org/abs/2410.19270

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