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A definition of entanglement in terms of local measurements is discussed. Viz, the maximum entanglement corresponds to the states that cause the highest level of quantum fluctuations in all local measurements determined by the dynamic…

量子物理 · 物理学 2009-11-10 A. A. Klyachko , A. S. Shumovsky

We show that the classification of bi-partite pure entangled states when local quantum operations are restricted yields a structure that is analogous in many respects to that of mixed-state entanglement. Specifically, we develop this…

量子物理 · 物理学 2007-05-23 Stephen D. Bartlett , Andrew C. Doherty , Robert W. Spekkens , H. M. Wiseman

The concept of entanglement was originally introduced to explain correlations existing between two spatially separated systems, that cannot be described using classical ideas. Interestingly, in recent years, it has been shown that similar…

量子物理 · 物理学 2015-07-23 R. de J. León-Montiel , A. Vallés , H. M. Moya-Cessa , J. P. Torres

We consider the characterization of entanglement from the perspective of a Heisenberg formalism. We derive an original two-party generalized separability criteria, and from this describe a novel physical understanding of entanglement. We…

量子物理 · 物理学 2023-04-21 Dominic Horsman , Vlatko Vedral

Some progress is reported on conditions for convertibility among bipartite 2x2 entangled states: An inconvertibility condition related to the rank of an entangled state is given that it is impossible to convert to an entangled state with…

量子物理 · 物理学 2024-02-14 Yiruo Lin

Entanglement distribution is essential for unlocking the potential of distributed quantum information processing. We consider an $N$-partite network where entanglement is distributed via a central source over lossy channels, and network…

量子物理 · 物理学 2025-04-01 Leonardo Oleynik , Junaid ur Rehman , Seid Koudia , Symeon Chatzinotas

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

Concurrence is an important entanglement measure for states in finite-dimensional quantum systems that was explored intensively in the last decade. In this paper, we extend the concept of concurrence to infinite-dimensional bipartite…

量子物理 · 物理学 2012-03-20 Yu Guo , Jinchuan Hou , Yuncai Wang

The entanglement of formation (EOF) is computed for arbitrary two-mode Gaussian states. Apart from a conjecture, our analysis rests on two main ingredients. The first is a four-parameter canonical form we develop for the covariance matrix,…

量子物理 · 物理学 2008-08-13 J. Solomon Ivan , R. Simon

We develop a novel method in classifying the multipartite entanglement state of $2\times N\times N$ under stochastic local operation and classical communication. In this method, all inequivalent classes of true entangled state can be…

量子物理 · 物理学 2010-01-21 Shuo Cheng , Junli Li , Cong-Feng Qiao

Due to the importance of entanglement for quantum information purposes, a framework has been developed for its characterization and quantification as a resource based on the following operational principle: entanglement among $N$ parties…

量子物理 · 物理学 2013-05-30 Rodrigo Gallego , Lars E. Würflinger , Antonio Acín , Miguel Navascués

In this work, we study the asymptotic behavior of protocols that localize entanglement in large multi-qubit states onto a subset of qubits by measuring the remaining qubits. We use the maximal average n-tangle that can be generated on a…

It is known that $\rho^{AB}$ as a bipartite reduced state of the 3-qubit GHZ state is separable, but part $A$ and part $B$ indeed ``share tripartite entanglement'' in the GHZ state. Namely, whether a state can ``share'' more entanglement is…

量子物理 · 物理学 2025-12-01 Yu Guo , Ning Yang

The study of transformations among pure states via Local Operations assisted by Classical Communication (LOCC) plays a central role in entanglement theory. The main emphasis of these investigations is on the deterministic, or probabilistic…

量子物理 · 物理学 2018-08-09 David Sauerwein , Katharina Schwaiger , Barbara Kraus

Presence of correlations among the constituent quantum systems has a great relevance in thermodynamics. Significant efforts have been devoted to investigate the role of correlations in work extraction, among others. Here, we derive a bound…

量子物理 · 物理学 2019-05-22 Mir Alimuddin , Tamal Guha , Preeti Parashar

We introduce detector-level entanglement, a unified entanglement concept for identical particles that takes into account the possible deletion of many-particle which-way information through the detection process. The concept implies a…

Measurement interaction between a measured object and a measuring instrument, if both are initially in a pure state, produces a (final) bipartite entangled state vector. The quasi-classical part of the correlations in it is connected with…

量子物理 · 物理学 2007-05-23 Fedor Herbut

We show that the maximum entanglement in a composite system corresponds to the maximum uncertainty and maximum correlation of local measurements.

量子物理 · 物理学 2007-05-23 Alexander A. Klyachko , Alexander S. Shumovsky

We show that {\it any} entanglement measure $E$ suitable for the regime of high number of entangled pairs satisfies $E_D\leq E\leq E_F$ where $E_D$ and $E_F$ are entanglement of distillation and formation respectively. We also exhibit a…

量子物理 · 物理学 2009-10-31 Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

Interaction with environment may lead to the transition of quantum system from pure state to the mixed one. In this case, the problem of definition of entanglement may arise. In particular, quantitative measure of entanglement concurrence…

量子物理 · 物理学 2008-09-16 Levan Chotorlishvili