Impossibility of masking a set of quantum states of nonzero measure

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.

arXiv comment7 pages, 3 figures, comments are welcome!

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• Photonic implementation of quantum information masking
• Measurement-device-independent quantum-secret-sharing networks with linear Bell-state analysis
• Quantum information masking of an arbitrary qudit can be realized in multipartite lower dimensional systems
• Quantum Information Masking of Hadamard Sets
• The masking condition for quantum state in two-dimensional Hilbert space
• Quantum information masking basing on quantum teleportation
• No-masking theorem for observables
• Experimental Masking of Real Quantum States
• The concealment of accelerated information is possible
• Entanglement is indispensable for masking arbitrary set of quantum states
• Comment on "Masking quantum information is impossible"