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We provide a result on the coherent states decomposition for functions in $L^2 (\Bbb T^n)$ where $\Bbb T^n := (\Bbb R / 2\pi \Bbb Z)^n$. Suddenly, we study such a decomposition with respect to the quantum dynamics related to semiclassical…

数学物理 · 物理学 2021-07-16 Lorenzo Zanelli

In this paper we use the \textit{concurrence vector}, as a measure of entanglement, and investigate lower and upper bounds on the concurrence of a superposition of bipartite states as a function of the concurrence of the superposed states.…

量子物理 · 物理学 2016-04-19 Seyed Javad Akhtarshenas

We investigate separability and entanglement of mixed states in ${\cal C}^2\otimes{\cal C}^2\otimes{\cal C}^N$ three party quantum systems. We show that all states with positive partial transposes that have rank $\le N$ are separable. For…

量子物理 · 物理学 2009-11-07 S. Karnas , M. Lewenstein

In this report, a scheme different from the PT and Wootters concurrence is developed to acquire a criterion to investigate the bipartite separability of the Werner state.

量子物理 · 物理学 2013-10-29 Ming-Chung Tsai , Po-Chung Chen , Wei-Chi Su , Zheng-Yao Su

We characterize and classify quantum correlations in two-fermion systems having 2K single-particle states. For pure states we introduce the Slater decomposition and rank (in analogy to Schmidt decomposition and rank), i.e. we decompose the…

量子物理 · 物理学 2009-11-06 John Schliemann , J. Ignacio Cirac , Marek Kus , Maciej Lewenstein , Daniel Loss

In the paper, we show that when a quantum state can be decomposed as a convex combination of locally orthogonal mixed states, its entanglement can be decomposed into the entanglement of these mixed states without losing them. The obtained…

量子物理 · 物理学 2022-07-12 Sunho Kim , Junde Wu , Lin Zhang , Minhyung Cho

The entanglement content of superpositions of pairs of degenerate eigenstates of a bipartite system are considered in the case that both are also eigenstates of the $z$ component of the total angular momentum. It is shown that the von…

量子物理 · 物理学 2019-10-09 Natalia Giovenale , Federico M. Pont , Pablo Serra , Omar Osenda

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

We study the concurrence of arbitrary dimensional bipartite quantum systems. An explicit analytical lower bound of concurrence is obtained, which detects entanglement for some quantum states better than some well-known separability…

量子物理 · 物理学 2011-04-07 Xiao-Sheng Li , Xiu-Hong Gao , Shao-Ming Fei

Bell-inequality violation and entanglement, measured by Wootters' concurrence and negativity, of two qubits initially in Werner or Werner-like states coupled to thermal reservoirs are analyzed within the master equation approach. It is…

量子物理 · 物理学 2009-08-03 Adam Miranowicz

We study the closest disentangled state to a given entangled state in any system (multi-party with any dimension). We obtain the set of equations the closest disentangled state must satisfy, and show that its reduction is strongly related…

量子物理 · 物理学 2007-05-23 Satoshi Ishizaka

Summary. A simple derivation of finite Schmidt decomposition of pure states describing finite dimensional systems interacting with the infinite dimensional ones is presented. In particular, maximally entangled pure states in such systems…

量子物理 · 物理学 2018-03-28 Roman Gielerak

We introduce with geometric means a density matrix decomposition of a multipartite quantum system of a finite dimension into two density matrices: a separable one, also known as the best separable approximation, and an essentially entangled…

量子物理 · 物理学 2015-10-28 V. M. Akulin , G. A. Kabatyanski , A. Mandilara

The quantification and classification of quantum entanglement is a very important and still open question of quantum information theory. In this paper, we describe an entanglement measure for multipartite pure states (the minimum of…

量子物理 · 物理学 2009-05-05 A. Yu. Chernyavskiy

Optimal universal entanglement processes are discussed which entangle two quantum systems in an optimal way for all possible initial states. It is demonstrated that the linear character of quantum theory which enforces the peaceful…

量子物理 · 物理学 2007-05-23 G. Alber

We investigate the scheme for controlling information characterized by Von-Neumann entropy and the stationary state entanglement characterized by concurrence of two solid state qubits in the collective dephasing channel. It is shown that…

量子物理 · 物理学 2007-05-23 Shang-Bin Li , Jing-Bo Xu

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

Entanglement of pure states of bipartite quantum systems has been shown to have a unique measure in terms of the von Neumann entropy of the reduced states of either of its subsystems. The measure is established under entanglement…

量子物理 · 物理学 2007-05-23 Garry Bowen , Nilanjana Datta

We propose two semi-device-independent approaches that are able to quantify unknown multipartite quantum entanglement experimentally, where the only information that has to be known beforehand is quantum dimension, and the concept that…

量子物理 · 物理学 2022-01-05 Lijinzhi Lin , Zhaohui Wei

We study a recent conjecture about the behavior of the quantum relative entropy compared to the relative entropy of entanglement in open bipartite systems. The conjecture states that, under a dissipative time-evolution, the positive rate of…

量子物理 · 物理学 2015-05-14 Fabio Benatti , Alexandra M. Liguori , Giacomo Paluzzano