Impossibility of masking a set of quantum states of nonzero measure

• URL: http://arxiv.org/abs/2004.09667v2
• Date: Wed, 22 Apr 2020 14:27:49 GMT
• Title: Impossibility of masking a set of quantum states of nonzero measure
• Authors: Xiao-Bin Liang, Bo Li, Shao-Ming Fei and Heng Fan
• Abstract summary: 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.
• Score: 17.297680102923888
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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