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We present a general strategy that allows a more flexible method for the construction of fully additive multipartite entanglement monotones than the ones so far reported in the literature of axiomatic entanglement measures. Within this…

量子物理 · 物理学 2010-09-02 Gerardo A. Paz-Silva , John H. Reina

We recently showed that multipartite correlations between outcomes of random observables detect quantum entanglement in all pure and some mixed states. In this followup article we further develop this approach, derive a maximal amount of…

量子物理 · 物理学 2016-10-11 Minh Cong Tran , Borivoje Dakic , Wieslaw Laskowski , Tomasz Paterek

Based on the ideas of {\it quantum extension} and {\it quantum conditioning}, we propose a generic approach to construct a new kind of entanglement measures called {\it conditional entanglement}. The new measures, built from the known…

量子物理 · 物理学 2007-08-01 Dong Yang , Michal Horodecki , Z. D. Wang

Quantifying entanglement is one of the most important tasks in the entanglement theory. In this paper, we establish entanglement monotones in terms of an operational approach, which is closely connected with the state conversion from pure…

量子物理 · 物理学 2021-09-08 Deng-hui Yu , Chang-shui Yu

We analyse the relationship between the full additivity of the entanglement cost and its full monotonicity under local operations and classical communication. We show that the two properties are equivalent for the entanglement cost. The…

To quantify the entanglement is one of the most important topics in quantum entanglement theory. In [arXiv: 2006.12408], the authors proposed a method to build a measure from the orginal domain to a larger one. Here we apply that method to…

量子物理 · 物理学 2021-04-21 Xian Shi , Lin Chen

We establish a general operational one-to-one mapping between coherence measures and entanglement measures: Any entanglement measure of bipartite pure states is the minimum of a suitable coherence measure over product bases. Any coherence…

量子物理 · 物理学 2017-09-20 Huangjun Zhu , Zhihao Ma , Zhu Cao , Shao-Ming Fei , Vlatko Vedral

We discuss why regular observables can not be proper entanglement measures, and how observables in a generalized setting can be used to make an entanglement monotone a directly observable quantity for the case of pure states. For the case…

量子物理 · 物理学 2009-11-13 Florian Mintert

We construct nonlinear multiparty entanglement measures for distinguishable particles, bosons and fermions. In each case properties of an entanglement measures are related to the decomposition of the suitably chosen representation of the…

数学物理 · 物理学 2015-06-16 Michał Oszmaniec , Marek Kuś

We prove that the relative entropy of entanglement is additive when \emph{at least one of the two states} belongs to some specific class. We show that these classes include bipartite pure, maximally correlated, GHZ, Bell diagonal,…

量子物理 · 物理学 2024-05-03 Roberto Rubboli , Marco Tomamichel

Distinguishability and predictability are part of complementarity relations which apply to two different kinds of interference experiments, with and without a path-detector, respectively. In [Opt. Comm. 179, 337 (2000)], Englert and Bergou…

量子物理 · 物理学 2021-12-07 Marcos L. W. Basso , Jonas Maziero

We show that the symmetric portion of correlated coherence is always a valid quantifier of entanglement, and that this property is independent of the particular choice of coherence measure. This leads to an infinitely large class of…

量子物理 · 物理学 2018-12-05 Kok Chuan Tan , Hyunseok Jeong

Maximal correlation is a measure of correlation for bipartite distributions. This measure has two intriguing features: (1) it is monotone under local stochastic maps; (2) it gives the same number when computed on i.i.d. copies of a pair of…

量子物理 · 物理学 2017-01-12 Salman Beigi

In this paper, we examine the superadditivity of convex roof coherence measures. We put forward a theorem on the superadditivity of convex roof coherence measures, which provides a sufficient condition to identify the convex roof coherence…

量子物理 · 物理学 2018-09-26 C. L. Liu , Qi-Ming Ding , D. M. Tong

Based on the notion of maximal correlation, Kimeldorf, May and Sampson (1980) introduce a measure of correlation between two random variables, called the "concordant monotone correlation" (CMC). We revisit, generalize and prove new…

信息论 · 计算机科学 2016-06-23 Omid Etesami , Amin Gohari

The parameterized entanglement monotone, the $q$-concurrence, is also a reasonable parameterized entanglement measure. By exploring the properties of the $q$-concurrence with respect to the positive partial transposition and realignment of…

量子物理 · 物理学 2022-06-17 Zhi-Wei Wei , Ming-Xing Luo , Shao-Ming Fei

We study partial coherence and its connections with entanglement. First, we provide a sufficient and necessary condition for bipartite pure state transformation under partial incoherent operations: A bipartite pure state can be transformed…

量子物理 · 物理学 2023-07-17 Sunho Kim , Chunhe Xiong , Shunlong Luo , Asutosh Kumar , Junde Wu

Recently, Chatterjee has introduced a new coefficient of correlation which has several natural properties. In particular, the coefficient attains its maximal value if and only if one variable is a measurable function of the other variable.…

统计理论 · 数学 2020-10-22 Sky Cao , Peter J. Bickel

We compute the entanglement entropy of a wide class of exactly solvable models which may be characterized as describing matter coupled to gauge fields. Our principle result is an entanglement sum rule which states that entropy of the full…

强关联电子 · 物理学 2013-09-11 Brian Swingle

Gudder, in a recent paper, defined a candidate entanglement measure which is called the entanglement number. The entanglement number is first defined on pure states and then it extends to mixed states by the convex roof construction. In…

量子物理 · 物理学 2023-03-02 George Androulakis , Ryan McGaha
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