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Motivated by the Kronecker product approximation technique, we have developed a very simple method to assess the inseparability of bipartite quantum systems, which is based on a realigned matrix constructed from the density matrix. For any…

量子物理 · 物理学 2007-05-23 Kai Chen , Ling-An Wu

One of the most important questions in quantum information theory is the so-called separability problem. It involves characterizing the set of separable (or, equivalently entangled) states among mixed states of a multipartite quantum…

量子物理 · 物理学 2014-12-16 Michał Oszmaniec

We address perfect discrimination of two separable states. When available states are restricted to separable states, we can theoretically consider a larger class of measurements than the class of measurements allowed in quantum theory. The…

量子物理 · 物理学 2020-10-08 Hayato Arai , Yuuya Yoshida , Masahito Hayashi

Consider an ensemble of pure quantum states |\psi_j>, j=1,...,n taken with prior probabilities p_j respectively. We show that it is possible to increase all of the pairwise overlaps |<\psi_i|\psi_j>| i.e. make each constituent pair of the…

量子物理 · 物理学 2009-10-31 Richard Jozsa , Juergen Schlienz

Relativistic bipartite entangled quantum states is studied to show that Nature doesn't favor nonlocality for massive particles in the ultra-relativistic limit. We found that to an observer (Bob) in a moving frame S', the entangled Bell…

量子物理 · 物理学 2007-05-23 Doyeol Ahn , Hyuk-jae Lee , Sung Woo Hwang

We present separability criteria for both bipartite and multipartite quantum states. These criteria include the criteria based on the correlation matrix and its generalized form as special cases. We show by detailed examples that our…

量子物理 · 物理学 2014-02-19 Ming Li , Jing Wang , Shao-Ming Fei , Xianqing Li-Jost

We consider two systems of harmonically trapped particles in a typical pure state of the Hilbert space defined by given values of the particle numbers and energies of the two gases. Such a state is entangled but we show that, for large…

量子物理 · 物理学 2009-07-03 S. Camalet

One of the many interesting features of quantum nonlocality is that the states of a multipartite quantum system cannot always be distinguished as well by local measurements as they can when all quantum measurements are allowed. In this…

量子物理 · 物理学 2013-11-14 Somshubhro Bandyopadhyay , Michael Nathanson

In this paper we present the necessary and sufficient conditions of separability for multipartite pure states. These conditions are very simple, and they don't require Schmidt decomposition or tracing out operations. We also give a…

量子物理 · 物理学 2012-05-08 D. Li , H. Huang , X. Li

For an N-partite quantum system we show that separability implies inequalities on Bell correlations which are stronger than the local reality inequalities by a factor 2^{(N-1)/2}.

量子物理 · 物理学 2009-11-10 S. M. Roy

For a bipartite entangled state shared by two observers, Alice and Bob, Alice can affect the post-measured states left to Bob by choosing different measurements on her half. Alice can convince Bob that she has such an ability if and only if…

量子物理 · 物理学 2019-06-19 Fu-Lin Zhang , Yuan-Yuan Zhang

Every entangled state can be perturbed, for instance by decoherence, and stay entangled. For a large class of pure entangled states, we show how large the perturbation can be. Our class includes all pure bipartite and all maximally…

量子物理 · 物理学 2013-05-29 Robert Lockhart , Michael Steiner

We investigate the scenario where an observer, Alice, shares a two-qubit state with an arbitrary number of observers, Bobs, via sequentially and independently recycling the qubit in possession of the first Bob. It is known that there exist…

量子物理 · 物理学 2022-06-07 Chirag Srivastava , Mahasweta Pandit , Ujjwal Sen

We consider the separability of various joint states for N qutrits. We derive two results: (i) the separability condition for a two-qutrit state that is a mixture of the maximally mixed state and a maximally entangled state (such a state is…

量子物理 · 物理学 2009-10-31 Carlton M. Caves , Gerard J. Milburn

An entanglement measure for a bipartite quantum system is a state functional that vanishes on separable states and that does not increase under separable (local) operations. It is well-known that for pure states, essentially all…

量子物理 · 物理学 2025-08-22 Stefan Hollands , Ko Sanders

The wedge product of vectors has been shown to yield the generalised entanglement measure I-concurrence, wherein the separability of the multiparty qubit system arises from the parallelism of vectors in the underlying Hilbert space of the…

The quantumness of a generic state is the resource of many applications in quantum information theory and it is interesting to survey the measures which are able to detect its trace in the properties of the state. In this work we study the…

量子物理 · 物理学 2016-04-26 Javad Behdani , Seyed Javad Akhtarshenas , Mohsen Sarbishaei

We propose an entanglement sharing protocol based on separable states. Initially, two parties, Alice and Bob, share a two-mode separable Gaussian state. Alice then splits her mode into two separable modes and distributes them between two…

量子物理 · 物理学 2016-05-04 Ladislav Mišta

In a Bell experiment two parties share a quantum state and perform local measurements on their subsystems separately, and the statistics of the measurement outcomes are recorded as a Bell correlation. For any Bell correlation, it turns out…

量子物理 · 物理学 2017-04-28 Zhaohui Wei , Jamie Sikora

The problem of of how many entangled or, respectively, separable states there are in the set of all quantum states is investigated. We study to what extent the choice of a measure in the space of density matrices describing N--dimensional…

量子物理 · 物理学 2009-10-31 Karol Zyczkowski