Masking Quantum Information Encoded in Pure and Mixed States

Du, Yuxing; Guo, Zhihua; Cao, Huaixin; Han, Kanyuan; Yang, Caiqin

doi:10.1007/s10773-020-04542-w

Cited by 13 publications

(6 citation statements)

References 14 publications

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“…Then, equation (10) can be reduced to ( ) Through the above equations, we get the solutions to equation (15), that is,…”

Section: Masking Of Orthogonal Quantum Statesmentioning

confidence: 99%

“…Quantum information masking requires that the information contained in subsystems can be encoded into their correlation by some unitary operations, such that the marginal states are identical [14]. In other words, one can hide the initial information contained in the subsystems [15]. This principle greatly improves the security of quantum communication [16,17].…”

Section: Introductionmentioning

confidence: 99%

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The masking condition for the quantum state in two-dimensional Hilbert space

Wang¹,

Zhang²,

Bai³

et al. 2022

Commun. Theor. Phys.

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This paper focuses on quantum information masking for quantum state in two-dimensional Hilbert space. We present a system of equations as the condition of quantum information masking. It is shown that quantum information contained in a single qubit state can be masked, if and only if the coefficients of quantum state satisfy the given system of equations. By observing the characteristics of non-orthogonal maskable quantum states, we obtain a related conclusion, namely, if two nonorthogonal two-qubit quantum states can mask a single qubit state, they have the same number of terms and the same basis. Finally, for maskable orthogonal quantum states, we analyze two special examples and give their images for an intuitive description.

show abstract

“…Then, equation (10) can be reduced to ( ) Through the above equations, we get the solutions to equation (15), that is,…”

Section: Masking Of Orthogonal Quantum Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The masking condition for the quantum state in two-dimensional Hilbert space

Wang¹,

Zhang²,

Bai³

et al. 2022

Commun. Theor. Phys.

View full text Add to dashboard Cite

show abstract

“…Quantum information masking requires that the information in subsystems can be transferred into their composite quantum system by unitary operations, such that the final reduced states of any subsystems are identical [14]. In other words, the initial information in the subsystems is hidden [15]. This principle greatly improves the security of quantum communication [16,17].…”

Section: Introductionmentioning

confidence: 99%

The masking condition for quantum state in two-dimensional Hilbert space

Wang,

Zhang,

Bai

et al. 2021

Preprint

View full text Add to dashboard Cite

This paper focuses on quantum information masking for quantum state in two-dimensional Hilbert space. We present a system of equations as the condition of quantum information masking. It is shown that quantum information contained in a single qubit state can be masked, if and only if the coefficients of quantum state satisfy the given system of equations. By observing the characteristics of non-orthogonal maskable quantum states, we obtain a related conclusion, namely, if two non-orthogonal two-qubit quantum states can mask a single qubit state, they have the same number of terms and the same basis. Finally, for maskable orthogonal quantum states, we analyze two special examples and give their images for an intuitive description.

show abstract

“…Ding and Hu discussed quantum information masking on hyperdisks and the structure of the set of maskable states [24]. In [25] the authors discussed the problem of masking quantum information encoded in pure and mixed states and found that there exists a set of four states that can not be masked, which implies that it is impossible to mask unknown pure states.…”

Section: Introductionmentioning

confidence: 99%

Quantum Information Masking of Hadamard Sets

Sun,

Fei,

Li-Jost

2021

Preprint

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We study quantum information masking of arbitrary dimensional states. Given a set of fixed reducing pure states, we study the linear combinations of them, such that they all have the same marginal states with the given ones. We define the so called Hadamard set of quantum states whose Gram-Schmidt matrix can be diagonalized by Hadamard unitary matrices. We show that any Hadamard set can be deterministically masked by a unitary operation. We analyze the states which can be masked together with the given Hadamard set using the result about the linear combinations of fixed reducing states. Detailed examples are given to illustrate our results.

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Masking Quantum Information Encoded in Pure and Mixed States

Cited by 13 publications

References 14 publications

The masking condition for the quantum state in two-dimensional Hilbert space

The masking condition for the quantum state in two-dimensional Hilbert space

The masking condition for quantum state in two-dimensional Hilbert space

Quantum Information Masking of Hadamard Sets

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