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arXiv · 2004.09667

Impossibility of masking a set of quantum states of nonzero measure

Xiao-Bin Liang·Bo Li·Shao-Ming Fei·Heng Fan
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Abstract

We study the quantum information masking based on isometric linear operators that distribute the information encoded in pure states to the correlations in bipartite states. It is shown that a isometric linear operator can not mask any nonzero measure set of pure states. We present a geometric characterization of the maskable sets, and show that any maskable set must be on a spherical circle in certain Euclidean spaces. Detailed examples and potential applications in such as secret sharing and quantum cryptography are analyzed.

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Xiao-Bin Liang, Bo Li, Shao-Ming Fei, Heng Fan. 2020-04-20. Impossibility of masking a set of quantum states of nonzero measure. https://doi.org/10.1103/physreva.101.042321

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