Quantum information masking: deterministic versus probabilistic

Bo Li, Shuhan Jiang, Xiao-Bin Liang, Xianqing Li-Jost, Heng Fan, and Shao-Ming Fei

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Submission date: 30. Jul. 2019
published in: Physical review / A, 99 (2019) 5, art-no. 052343 
DOI number (of the published article): 10.1103/PhysRevA.99.052343
Bibtex
with the following different title: Deterministic versus probabilistic quantum information masking

Abstract:
We investigate quantum information masking for arbitrary dimensional quantum states. We show that mutually orthogonal quantum states can always be served for deterministic masking of quantum information. We further construct a probabilistic masking machine for linearly independent states. It is shown that a set of d-dimensional states, {|a₁⟩_A,|a₂⟩_A,…,|a_n⟩_A}, n ≤ d, can be probabilistically masked by a general unitary-reduction operation if they are linearly independent. The maximal successful probability of probabilistic masking is analyzed and derived for the case of two initial states.