Quantum Information Masking of Hardmard Sets

Bao-Zhi Sun, Shao-Ming Fei, and Xianqing Li-Jost

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Submission date: 26. Feb. 2020
Pages: 12
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Abstract:
We study quantum information masking of arbitrary dimensional states. We present the condition that the linear combination of fixed reducing states has the same marginal states as the fixed reducing ones. We define so called Hardmard set of quantum states whose Gram-Schmidt matrix can be diagonalized by Hardmard unitary matrices. We show that any Hardmard set can be deterministically masked by a unitary operation. Accounting to that a linear combination of fixed reducing states may have the same marginal states as the fixed reducing ones, we analyze the states which can be masked together with the given Hardmard set. Detailed examples are given to illustrate our results.