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We qualify the entanglement of arbitrary mixed states of bipartite quantum systems by comparing global and marginal mixednesses quantified by different entropic measures. For systems of two qubits we discriminate the class of maximally…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Fabrizio Illuminati , Silvio De Siena

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 provide an analytical investigation of the entanglement dynamics for a system composed of an arbitrary number of qubits dissipating into a common environment. Specifically we consider initial states whose evolution remains confined on…

量子物理 · 物理学 2013-04-08 Laleh Memarzadeh , Stefano Mancini

Entanglement of formation for a class of higher dimensional quantum mixed states is studied in terms of a generalized formula of concurrence for $N$-dimensional quantum systems. As applications, the entanglement of formation for a class of…

量子物理 · 物理学 2009-11-10 Shao-Ming Fei , Juergen Jost , Xianqing Li-Jost , Guo-Fang Wang

The generation of entangled states and their degree of entanglement is studied ab initio in a relativistic formulation for the case of two interacting spin-1/2 charged particles. In the realm of quantum electrodynamics we derive the…

量子物理 · 物理学 2007-05-23 Jiannis Pachos , Enrique Solano

We provide an in-depth study of tripartite entanglement of qudits. We start with a short review of tripartite entanglement invariants, prove a theorem about the complete list of all allowed values of three (out of the total of four) such…

量子物理 · 物理学 2024-12-17 Roman V. Buniy , Thomas W. Kephart

Entanglement is the central resource of quantum information processing and the precise characterization of entangled states is a crucial issue for the development of quantum technologies. This leads to the necessity of a precise,…

The relation between the violation of the Bell-CHSH inequalities and entanglement properties of quantum states is not clear so one may consider the mixedness of the system to understand the entanglement properties better than the Bell-CHSH…

量子物理 · 物理学 2009-06-11 Satyabrata Adhikari

Based on quantum complementary relations (QCRs) and a purification scenario, we analyze a class of N-qubit mixed states that are entangled but do not have two-, and genuine three-, four-, ..., N-qubit entanglements. It is shown that…

量子物理 · 物理学 2009-11-13 Yan-Kui Bai , Ming-Yong Ye , Z. D. Wang

Entangled states that cannot be distilled to maximal entanglement are called bound entangled and they are often viewed as too weak to break the limitations of classical models. Here, we show a strongly contrasting result: that bound…

量子物理 · 物理学 2026-03-09 Armin Tavakoli , Carles Roch i Carceller , Lucas Tendick , Tamás Vértesi

The quantum entanglements are studied in terms of the invariants under local unitary transformations. A generalized formula of concurrence for $N$-dimensional quantum systems is presented. This generalized concurrence has potential…

量子物理 · 物理学 2009-11-07 Sergio Albeverio , Shao-Ming Fei

We discuss maximum entangled states of quantum systems in terms of quantum fluctuations of all essential measurements responsible for manifestation of entanglement. Namely, we consider maximum entanglement as a property of states, for which…

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

With any state of a multipartite quantum system its separability polytope is associated. This is an algebro-topological object (non-trivial only for mixed states) which captures the localisation of entanglement of the state. Particular…

量子物理 · 物理学 2015-06-26 Roman R. Zapatrin

A pair of two level atoms A1A2, prepared either in a separable state or in an entangled state, interacts with a single mode of two mode squeezed cavity field while a third atomic qubit B interacts with the second mode of the squeezed field…

量子物理 · 物理学 2013-05-03 Paulo Jose dos Reis , S. Shelly Sharma , N. K. Sharma

We propose an entanglement tensor to compute the entanglement of a general pure multipartite quantum state. We compare the ensuing tensor with the concurrence for bipartite state and apply the tensor measure to some interesting examples of…

量子物理 · 物理学 2016-08-16 Hoshang Heydari , Gunnar Björk

Our study employs a connected correlation matrix to quantify Quantum Entanglement. The matrix encompasses all necessary measures for assessing the degree of entanglement between particles. We begin with a three-qubit state and involve…

量子物理 · 物理学 2023-12-06 Xingyu Guo , Chen-Te Ma

The notion of entanglement can be naturally extended from quantum-states to the level of general quantum evolutions. This is achieved by considering multi-partite unitary transformations as elements of a multi-partite Hilbert space and then…

量子物理 · 物理学 2011-04-14 Paolo Zanardi

Bound entanglement is a special form of quantum entanglement that cannot be used for distillation, i.e., the local transformation of copies of arbitrarily entangled states into a smaller number of approximately maximally entangled states.…

量子物理 · 物理学 2025-08-01 Beatrix C. Hiesmayr , Christopher Popp , Tobias C. Sutter

In recent years considerable progress has been made towards developing a general theory of quantum entanglement. In particular, criteria to decide whether a given quantum state is entangled are of high theoretical and practical interest.…

量子物理 · 物理学 2025-01-27 Shruti Aggarwal

Long-range quantum correlations between particles are usually formulated by assuming the persistence of an entangled state after the particles have spearated. Here this approach is re-examined based upon studying the correlations present in…

量子物理 · 物理学 2025-04-03 B. C. Sanctuary
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