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Quantum coherence and entanglement are two key features in quantum mechanics and play important roles in quantum information processing and quantum computation. We provide a general triangle-like inequality satisfied by the $l_1$-norm…

量子物理 · 物理学 2018-11-21 Zhi-Xiang Jin , Xianqing Li-Jost , Shao-Ming Fei

To quantify the entanglement of bipartite systems in terms of some entanglement measure is a challenging problem in general, and it is much worse when the information about the system is less. In this manuscript, based on two classes of…

量子物理 · 物理学 2024-01-01 Xian Shi

We derive a lower bound for the concurrence of mixed bipartite quantum states, valid in arbitrary dimensions. As a corollary, a weaker, purely algebraic estimate is found, which detects mixed entangled states with positive partial…

量子物理 · 物理学 2009-11-10 Florian Mintert , Marek Kus , Andreas Buchleitner

We show a relation between entanglement and correlations of any form. The internal entanglement of a bipartite system, and its correlations with another system, limit each other. A measure of correlations, of any nature, cannot increase…

量子物理 · 物理学 2018-08-15 S. Camalet

The genuine multiparticle negativity is a measure of genuine multiparticle entanglement which can be computed numerically. We present several results how this entanglement measure can be characterized analytically. First, we show that with…

量子物理 · 物理学 2014-05-01 Martin Hofmann , Tobias Moroder , Otfried Gühne

We compare the entanglement of formation with a measure defined as the modulus of the negative eigenvalue of the partial transpose. In particular, we investigate whether both measures give the same ordering of density operators with respect…

量子物理 · 物理学 2020-11-19 J. Eisert , M. B. Plenio

We propose and examine several candidates for universal multipartite entanglement measures. The most promising candidate for applications needing entanglement in the full Hilbert space is the ent-concurrence, which detects all entanglement…

量子物理 · 物理学 2018-04-19 Samuel R. Hedemann

Criteria of measure quantifying quantum coherence, a unique property of quantum system, are proposed recently. In this paper, we first give an uncertainty-like expression relating the coherence and the entropy of quantum system. This…

量子物理 · 物理学 2015-07-15 Zhengjun Xi , Yongming Li , Heng Fan

The quantum correlations, including entanglement and discord with its geometric measure, and classical correlation are studied for a bipartite partition of a open or closed quantum system. It is found that the purity of the initial state…

量子物理 · 物理学 2013-01-31 Abdel-Baset A. Mohamed

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 numerically compute the entanglement entropy and negativity for scalar fields and abelian gauge fields in a variety of situations. These extend computations of Srednicki to situations involving curved space. We discretize space in a…

高能物理 - 理论 · 物理学 2026-01-30 Suresh Govindarajan , Sreehari A Padinhareveettil , Raghotham A Kulkarni

We define the separability and entanglement notion for particle with spin $s=1$. We consider two cases. In the first the particle is composed of two fermions with $s_1=1/2$ and $s_2=1/2$. In the second case the state is the qutrit state…

量子物理 · 物理学 2016-04-25 V. I. Man'ko , L. A. Markovich

Quantum coherence plays a central role in various research areas. The $l_1$-norm of coherence is one of the most important coherence measures that are easily computable, but it is not easy to find a simple interpretation. We show that the…

量子物理 · 物理学 2018-03-06 Huangjun Zhu , Masahito Hayashi , Lin Chen

Based on the relative entropy, we give a unified characterization of quantum correlations for nonlocality, steerability, discord and entanglement for any bipartite quantum states. For two-qubit states we show that the quantities obtained…

量子物理 · 物理学 2017-04-14 Tinggui Zhang , Hong Yang , Xianqing Li-Jost , Shao-Ming Fei

In this work, we show that while all measures of mixedness may be used to witness entanglement, all such entangled states must have a negative partial transpose (NPT). Though computing the negativity of the partial transpose scales well at…

量子物理 · 物理学 2023-03-22 James Schneeloch , H Shelton Jacinto , Christopher C. Tison , Paul M. Alsing

We introduce an intuitive measure of genuine multipartite entanglement which is based on the well-known concurrence. We show how lower bounds on this measure can be derived that also meet important characteristics of an entanglement…

量子物理 · 物理学 2011-06-21 Zhi-Hao Ma , Zhi-Hua Chen , Jing-Ling Chen , Christoph Spengler , Andreas Gabriel , Marcus Huber

Two entangled electron spins, or qubits, are analyzed in terms of ordinary three-dimensional space geometric properties, as are the angles between their angular momenta. This formulation allows concurrence, a measure of quantum…

量子物理 · 物理学 2015-05-30 A. Ramsak

Quantum entanglement plays a pivotal role in quantum information processing. Quantifying quantum entanglement is a challenging and essential research area within the field. This manuscript explores the relationships between bipartite…

量子物理 · 物理学 2025-04-22 Ming Li , Yaru Dong , Ruiqi Zhang , Xuena Zhu , Shuqian Shen , Lei Li , Shao-Ming Fei

The entanglement content of superpositions of quantum states is investigated based on a measure called {\it concurrence}. Given a bipartite pure state in arbitrary dimension written as the quantum superposition of two other such states, we…

量子物理 · 物理学 2009-11-13 J. Niset , N. J. Cerf

We provide a class of positive and trace-preserving maps based on symmetric measurements. From these positive maps we present separability criteria, entanglement witnesses, as well as the lower bounds of concurrence. We show by detailed…

量子物理 · 物理学 2024-05-21 Jiaxin Li , Hongmei Yao , Shao-Ming Fei , Zhaobing Fan , Haitao Ma