Quantumness of ensembles via coherence

Mao, Yuanyuan1,2,3; Song, Hongting4

2019-08-12

10.1016/j.physleta.2019.05.042

PHYSICS LETTERS A   影响因子和分区

0375-9601

1873-2429

The notion of quantum ensembles is necessary for a description of quantum systems with incomplete information, which often occurs in the theory of quantum measurement and communication. Since ensembles involving non-commuting states possess intrinsic quantumness and play a central role in various quantum information processing tasks, it is desirable to quantify the quantum characteristics in ensembles from different points of view. In this paper, we define a quantifier for quantumness of quantum ensembles from the perspective of coherence, and prove this quantifier satisfies almost all natural desiderata for a measure of quantumness recently suggested by Li et al. (2017)[12]. Furthermore, this measure also possesses monotonicity under commutativity preserving operations, which intrigues a discussion on the resource theory of quantumness. We find that this measure is equivalent to the quantumness measures proposed formerly via correlation and relative entropy, by which they share these properties. (C) 2019 Elsevier B.V. All rights reserved.

Quantum ensembles Quantumness Quantum coherence

SCI ; EI

英语

第一

ERC[683107/TempoQ]

Physics

Physics, Multidisciplinary

WOS:000477788000004

ELSEVIER

20202208740246

Light/Optics:741.1 ; Quantum Theory; Quantum Mechanics:931.4

PHYSICS

Web of Science

1.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
2.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
3.Univ Siegen, Nat Wissensch Tech Fak, Walter Flex Str 3, D-57068 Siegen, Germany
4.China Acad Space Technol, Qian Xuesen Lab Space Technol, Beijing 100094, Peoples R China

Mao, Yuanyuan,Song, Hongting. Quantumness of ensembles via coherence[J]. PHYSICS LETTERS A,2019,383(23):2698-2703.

Mao, Yuanyuan,&Song, Hongting.(2019).Quantumness of ensembles via coherence.PHYSICS LETTERS A,383(23),2698-2703.

Mao, Yuanyuan,et al."Quantumness of ensembles via coherence".PHYSICS LETTERS A 383.23(2019):2698-2703.