Impossibility of masking a set of quantum states of nonzero measure
Xiao-Bin Liang, Bo Li, Shao-Ming Fei, and Heng Fan
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Submission date: 08. May. 2020
published in: Physical review / A, 101 (2020) 4, art-no. 042321
DOI number (of the published article): 10.1103/PhysRevA.101.042321
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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.