k-uniform quantum information masking

Shi, Fei1; Li, Mao-Sheng2,3; Chen, Lin4,5,6; Zhang, Xiande7

2021-09-01

10.1103/PhysRevA.104.032601

PHYSICAL REVIEW A   影响因子和分区

2469-9926

2469-9934

It is impossible to mask an arbitrary quantum state into the correlations between two subsystems such that the original information is completely unknown to each local system. This is the no-masking theorem proposed by Modi et al. [K. Modi, A. K. Pati, A. Sen(De), and U. Sen, Phys. Rev. Lett. 120, 230501 (2018)]. In this work, we propose the concept of k-uniform quantum information masking in multipartite systems and indicate the relation between quantum error-correcting codes (QECCs) in heterogeneous systems and quantum information masking. As a consequence, we show that the no-masking theorem is a special case of the quantum Singleton bound for QECCs in heterogeneous systems essentially, and we give a more general no-masking theorem in multipartite systems based on the quantum Singleton bound. We also solve two open questions proposed by Li and Wang [M.-S. Li and Y.-L. Wang, Phys. Rev. A 98, 062306 (2018)]. That is, an arbitrary state of level d cannot be masked in a tripartite system of level d such that the marginal states are not proportional to identity, and an arbitrary state of level d cannot be masked in a tripartite system of level n with n < d. Further, we give some methods for constructing new QECCs from old QECCs in heterogeneous systems.

SCI ; EI

英语

其他

NSFC[12005092] ; Anhui Initiative in Quantum Information Technologies[AHY150200] ; China Postdoctoral Science Foundation[2020M681996] ; NNSF of China[11871089] ; Fundamental Research Funds for the Central Universities[ZG216S2005]

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:000692015200003

AMER PHYSICAL SOC

20213710886304

Quantum noise

Quantum Theory; Quantum Mechanics:931.4

PHYSICS

Web of Science

1.Univ Sci & Technol China, Sch Cyber Secur, Hefei 230026, Peoples R China
2.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
3.Univ Sci & Technol China, Dept Phys, Hefei 230026, Peoples R China
4.Beihang Univ, LMIB, Minist Educ, Beijing 100191, Peoples R China
5.Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China
6.Beihang Univ, Int Res Inst Multidisciplinary Sci, Beijing 100191, Peoples R China
7.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

Shi, Fei,Li, Mao-Sheng,Chen, Lin,et al. k-uniform quantum information masking[J]. PHYSICAL REVIEW A,2021,104(3).

Shi, Fei,Li, Mao-Sheng,Chen, Lin,&Zhang, Xiande.(2021).k-uniform quantum information masking.PHYSICAL REVIEW A,104(3).

Shi, Fei,et al."k-uniform quantum information masking".PHYSICAL REVIEW A 104.3(2021).