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We introduce a new discrete coherence monotone named the \emph{coherence number}, which is a generalization of the coherence rank to mixed states. After defining the coherence number in a similar manner to the Schmidt number in entanglement…

量子物理 · 物理学 2017-10-26 Seungbeom Chin

Entanglement and coherence are two essential quantum resources for quantum information processing. A natural question arises of whether there are direct link between them. And by thinking about this question, we propose a new measure for…

量子物理 · 物理学 2019-04-03 Xiao-Gang Fan , Wen-Yang Sun , Zhi-Yong Ding , Fei Ming , Huan Yang , Dong Wang , Liu Ye

We study the properties of coherence concurrence and present a physical explanation analogous to the coherence of assistance. We give an optimal pure state decomposition which attains the coherence concurrence for qubit states. We prove the…

量子物理 · 物理学 2020-02-11 Ming-Jing Zhao , Teng Ma , Zhen Wang , Shao-Ming Fei , Rajesh Pereira

The interference observed for a quanton, traversing more than one path, is believed to characterize its wave nature. Conventionally, the sharpness of interference has been quantified by its visibility or contrast, as defined in optics.…

量子物理 · 物理学 2019-06-21 Tabish Qureshi

Based on a proposed coherence measure, we show that the local coherence of a bipartite quantum pure state (coherence of its reduced density matrix) is exactly the same as the minimal average co- herence with all potential pure-state…

量子物理 · 物理学 2014-11-04 Chang-shui Yu , He-shan Song

It is well known that fringe contrast is not a good quantifier of the wave nature of a quanton in multipath interference. A new interference visibility, based on the Hilbert-Schmidt coherence is introduced. It is demonstrated that this…

We derive a generalized wave-particle duality relation for arbitrary multipath quantum interference phenomena. Beyond the conventional notion of the wave nature of a quantum system, i.e., the interference fringe visibility, we introduce a…

量子物理 · 物理学 2015-07-23 Manabendra Nath Bera , Tabish Qureshi , Mohd Asad Siddiqui , Arun Kumar Pati

In this paper, we investigate the hierarchical structure of the $n$-partite quantum states. We present a whole set of hierarchical quantifications as a method of characterizing quantum states, which go beyond genuine multipartite…

量子物理 · 物理学 2025-03-26 Hui Li , Ting Gao , Fengli Yan

In an asymmetric multislit interference experiment, a quanton is more likely to pass through certain slits than some others. In such a situation one may be able to predict which slit a quanton is more likely to go through, even without…

量子物理 · 物理学 2019-07-16 Prabuddha Roy , Tabish Qureshi

Quantum coherence is a fundamental manifestation of the quantum superposition principle. Recently, Baumgratz \emph{et al}. [Phys. Rev. Lett. \textbf{113}, 140401 (2014)] presented a rigorous framework to quantify coherence from the view of…

量子物理 · 物理学 2017-08-02 Xianfei Qi , Ting Gao , Fengli Yan

An interference experiment with entangled particles is theoretically analyzed, where one of the entangled pair (particle 1) goes through a multi-slit before being detected at a fixed detector. In addition, one introduces a mechanism for…

量子物理 · 物理学 2019-02-15 Misba Afrin , Tabish Qureshi

We focus our attention on tripartite mixed states as initial states, and apply coherence concurrence to investigate quantum coherence properties in the background of a Schwarzschild black hole under phase damping, phase flip and bit flip…

量子物理 · 物理学 2026-02-25 Tangrui Liao , Junhao Yang , Tinggui Zhang , Xiaofen Huang

The $k$-ME concurrence as a measure of multipartite entanglement (ME) unambiguously detects all $k$-nonseparable states in arbitrary dimensions, and satisfies many important properties of an entanglement measure. Negativity is a simple…

量子物理 · 物理学 2020-02-28 Limei Zhang , Ting Gao , Fengli Yan

Concurrence, as one of entanglement measures, is a useful tool to characterize quantum entanglement in various quantum systems. However, the computation of the concurrence involves difficult optimizations and only for the case of two qubits…

量子物理 · 物理学 2017-03-06 Xianfei Qi , Ting Gao , Femgli Yan

In this paper, we present a measure of multipartite entanglement ($k$-nonseparable), $k$-ME concurrence $C_{k-\mathrm{ME}}(\rho)$ that unambiguously detects all $k$-nonseparable states in arbitrary dimensions, where the special case, 2-ME…

量子物理 · 物理学 2015-06-05 Yan Hong , Ting Gao , Fengli Yan

We study generalized concurrences as a tool to detect the entanglement of bipartite quantum systems. By considering the case of 2 X 4 states of rank 2, we prove that generalized concurrences do not, in general, give a necessary and…

量子物理 · 物理学 2008-07-23 Laura Cattaneo , Domenico D'Alessandro

We extend the definition of concurrence into a family of entanglement monotones, which we call concurrence monotones. We discuss their properties and advantages as computational manageable measures of entanglement, and show that for pure…

量子物理 · 物理学 2009-11-10 Gilad Gour

Coherence measures and their operational interpretations lay the cornerstone of coherence theory. In this paper, we introduce a class of coherence measures with $\alpha$-affinity, say $\alpha$-affinity of coherence for $\alpha \in (0, 1)$.…

量子物理 · 物理学 2018-09-24 Chunhe Xiong , Asutosh Kumar , Junde Wu

Quantifying quantum coherence is a key task in the resource theory of coherence. Here we establish a good coherence monotone in terms of a state conversion process, which automatically endows the coherence monotone with an operational…

量子物理 · 物理学 2020-07-01 Deng-hui Yu , Li-qiang Zhang , Chang-shui Yu

Entanglement monotones, such as the concurrence, are useful tools to characterize quantum correlations in various physical systems. The computation of the concurrence involves, however, difficult optimizations and only for the simplest case…

量子物理 · 物理学 2012-11-20 Zhi-Hua Chen , Zhi-Hao Ma , Otfried Gühne , Simone Severini
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