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We investigate the distributions of quantum coherence characterized by superadditivity relations in multipartite quantum systems. General superadditivity inequalities based on the $\alpha$th ($\alpha\geqslant 1$) power of $l_1$ norm of…

量子物理 · 物理学 2021-05-11 Xianfei Qi , Ting Gao , Fengli Yan

Quantum coherence serves as a crucial physical resource, with its quantification emerging as a focal point in contemporary research. Superadditivity constitutes one of the most fundamental attributes in characterizing the coherence…

量子物理 · 物理学 2024-11-13 Kang-Kang Yang , Zhong-Xi Shen , Zhi-Xi Wang , Shao-Ming Fei

Quantum coherence is the outcome of the superposition principle. Recently, it has been theorized as a quantum resource, and is the premise of quantum correlations in multipartite systems. It is therefore interesting to study the coherence…

量子物理 · 物理学 2017-02-21 Asutosh Kumar

We study the trade-off relations given by the l_1-norm coherence of general multipartite states. Explicit trade-off inequalities are derived with lower bounds given by the coherence of either bipartite or multipartite reduced density…

量子物理 · 物理学 2020-02-04 Zhengmin Jiang , Tinggui Zhang , Xiaofen Huang , Shao-Ming Fei

In this paper, we investigate the convex roof measure of quantum coherence, with a focus on their superadditive properties. We propose sufficient conditions and establish a framework for coherence superadditivity in tripartite and…

量子物理 · 物理学 2025-05-20 Honglin Ren , Lin Chen

We study different notions of quantum correlations in multipartite systems of distinguishable and indistinguishable particles. Based on the definition of quantum coherence for a single particle, we consider two possible extensions of this…

量子物理 · 物理学 2017-09-27 Jan Sperling , Armando Perez-Leija , Kurt Busch , Ian A. Walmsley

This paper examines the coherence in multipartite systems. We first discuss the distribution of total coherence in a given multipartite quantum state into discord between subsystems and coherent dissonance in each individual subsystem,…

量子物理 · 物理学 2018-09-26 Zhengjun Xi

The distribution of coherence in multipartite systems in examined. We use a new coherence measure with entropic nature and metric properties, based on the quantum Jensen-Shannon divergence. The metric property allows for the coherence to be…

量子物理 · 物理学 2016-04-26 R. Chandrashekar , P. Manikandan , J. Segar , Tim Byrnes

In this brief report, we prove that robustness of coherence (ROC), in contrast to many popular quantitative measures of quantum coherence derived from the resource theoretic framework of coherence, may be sub-additive for a specific class…

量子物理 · 物理学 2019-08-13 Chiranjib Mukhopadhyay , Udit Kamal Sharma , Indranil Chakrabarty

Quantum coherence and quantum entanglement are two strong pillars in quantum information theory. We study here for the possibility of any connection between these two important aspects of quantum mechanics while studying the entanglement…

量子物理 · 物理学 2022-03-25 Palash Garhwal , Pranav Chandhok , Satyabrata Adhikari

Coherence of a quantum state intrinsically depends on the choice of the reference basis. A natural question to ask is the following: if we use two or more incompatible reference bases, can~there be some trade-off relation between the…

量子物理 · 物理学 2016-07-20 Uttam Singh , Arun Kumar Pati , Manabendra Nath Bera

Quantum coherence and entanglement orignate from the superposition principle. We derive a rigorous relation between the ${l_1}$-norm of coherence and concurrence, in that we show that the former is always greater than the latter. This…

量子物理 · 物理学 2022-05-24 Pranav Kairon , Mukhtiyar Singh , Satyabrata Adhikari

The distribution of coherence in multipartite systems is one of the fundamental problems in the resource theory of coherence. To quantify the coherence in multipartite systems more precisely, we introduce new coherence measures,…

量子物理 · 物理学 2017-10-25 Kaifeng Bu , Lu Li , Arun Kumar Pati , Shao-Ming Fei , Junde Wu

Compared with quantum coherence, multilevel quantum coherence offers a hierarchical classification that enables a more refined characterization. In this paper, we investigate multilevel coherence and introduce two $\alpha$-affinity-based…

量子物理 · 物理学 2025-09-23 Yan Hong , Mengjia Zhang , Limin Gao , Xianfei Qi , Huaqi Zhou

The production and manipulation of quantum correlation protocols will play a central role where the quantum nature of the correlation can be used as a resource to yield properties unachievable within a classical framework is a very active…

量子物理 · 物理学 2022-03-09 Simon J. D Phoenix , Faisal Shah Khan , Berihu Teklu

We derive two complementarity relations that constrain the individual and bipartite properties that may simultaneously exist in a multi-qubit system. The first expression, valid for an arbitrary pure state of n qubits, demonstrates that the…

量子物理 · 物理学 2009-11-10 Tracey E. Tessier

We introduce a notion of genuine distributed coherence. Such a notion is based on the possibility of concentrating on individual systems the coherence present in a distributed system, by making use of incoherent unitary transformations. We…

量子物理 · 物理学 2018-09-26 Tristan Kraft , Marco Piani

Coherent information quantifies the achievable rate of the reliable quantum information transmission through a communication channel. Use of the correlated quantum states instead of the factorized ones may result in an increase in the…

量子物理 · 物理学 2022-06-28 Sergey N. Filippov

In this work, we evaluate quantum coherence using the l_1-norm and convex-roof l_1-norm and obtain several new results. First, we provide some new general triangle-like inequalities of quantum coherence, with results better than existing…

量子物理 · 物理学 2021-11-25 Jiayao Zhu , Jian Ma , Tinggui Zhang

In a recent work [S. Asthana. New Journal of Physics 24.5 (2022): 053026], we have shown the interrelation of different nonclassical correlations in multiqubit systems with quantum coherence in a single logical qubit. In this work, we…

量子物理 · 物理学 2023-03-21 Sooryansh Asthana , V. Ravishankar
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