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Grid states form a discrete set of mixed quantum states that can be described by graphs. We characterize the entanglement properties of these states and provide methods to evaluate entanglement criteria for grid states in a graphical way.…

量子物理 · 物理学 2018-08-28 Joshua Lockhart , Otfried Gühne , Simone Severini

Entanglement, including ``quantum entanglement,'' is a consequence of correlation between objects. When the objects are subunits of pairs which in turn are members of an ensemble described by a wave function, a correlation among the…

量子物理 · 物理学 2009-11-07 A. F. Kracklauer

An important problem in quantum information theory is to understand what makes entangled quantum systems non-local or hard to simulate efficiently. In this work we consider situations in which various parties have access to a restricted set…

量子物理 · 物理学 2014-12-19 Hussain Anwar , Sania Jevtic , Oliver Rudolph , Shashank Virmani

We characterize entanglement subject to its definition over real and complex, composite quantum systems. In particular, a method is established to assess quantum correlations with respect to a selected number system, illuminating the deeply…

Non-classical states that are characterized by their non-positive quasi-probabilities in phase space are known to be the basis for various quantum effects. In this work, we investigate the interrelation between the non-classicality and…

量子物理 · 物理学 2010-10-12 Kisik Kim , Jaewan Kim , Joonwoo Bae

We study the set of quantum correlations generated by actions on maximally entangled states. We show that such correlations are dense in their own convex hull. As a consequence, we show that these correlations are dense in the set of…

量子物理 · 物理学 2020-06-04 Elie Alhajjar , Travis Russell

We provide an explicit construction of entangled states in a noncommutative space with nonclassical states, particularly with the squeezed states. Noncommutative systems are found to be more entangled than the usual quantum mechanical…

量子物理 · 物理学 2015-06-18 Sanjib Dey , Véronique Hussin

Field mediated entanglement experiments probe the quantum superposition of macroscopically distinct field configurations. We show that this phenomenon can be described by using a transparent quantum field theoretical formulation of…

广义相对论与量子宇宙学 · 物理学 2023-03-22 Lin-Qing Chen , Flaminia Giacomini , Carlo Rovelli

In entanglement theory, there are different methods to consider one state being more entangled than another. The "maximally" entangled states in a multipartite system can be defined from an axiomatic perspective. According to different…

量子物理 · 物理学 2025-03-13 Yanwen Liang , Fengli Yan , Ting Gao

In this paper, we investigate comparatively the behaviors of quantum discord and concurrence for Werner states based on two bipartite entangled squeezed states. The maximally entangled squeezed states are regarded as a perfect-Werner…

量子物理 · 物理学 2020-04-08 Fatima-Zahra Siyouri , Fatima El Azzouzi

The work is intended to represent some interesting and apparently peculiar features of entangled system in both pure as well as mixed states level. In the pure state level, we are largely concerned about the existence and characteristics of…

量子物理 · 物理学 2008-05-15 Indrani Chattopadhyay

We study the entanglement entropy arising from coherent states and one--particle states. We show that it is possible to define a finite entanglement entropy by subtracting the vacuum entropy from that of the considered states, when the…

高能物理 - 理论 · 物理学 2009-10-28 Eric Benedict , So-Young Pi

The frame of classical probability theory can be generalized by enlarging the usual family of random variables in order to encompass nondeterministic ones: this leads to a frame in which two kinds of correlations emerge: the classical…

量子物理 · 物理学 2007-05-23 E. G. Beltrametti , S. Bugajski

Large series of prime numbers can be superposed on a single quantum register and then analyzed in full parallelism. The construction of this Prime state is efficient, as it hinges on the use of a quantum version of any efficient primality…

量子物理 · 物理学 2014-04-08 José Ignacio Latorre , Germán Sierra

It is known that probabilistically mixing an arbitrary pair of pure quantum states, one of which is entangled and the other product, in any bipartite quantum system, one always obtains an entangled state, provided the entangled state of the…

量子物理 · 物理学 2023-04-25 Saronath Halder , Ujjwal Sen

We investigate entanglement measures in the infinite-dimensional regime. First, we discuss the peculiarities that may occur if the Hilbert space of a bi-partite system is infinite-dimensional, most notably the fact that the set of states…

量子物理 · 物理学 2009-11-07 Jens Eisert , Christoph Simon , Martin B. Plenio

Complementary correlations can reveal the genuine quantum correlations present in a composite quantum system. Here we investigate the relation between complementary correlations and other aspects of genuine quantum correlations. We show…

量子物理 · 物理学 2015-03-12 Prasenjit Deb

Motivated by the mathematical definition of entanglement we undertake a rigorous analysis of the separability and non-distillability properties in the neighborhood of those three-qubit mixed states which are entangled and completely…

量子物理 · 物理学 2009-11-10 Roman Orus , Rolf Tarrach

We work out a classification scheme for quantum modeling in Hilbert space of any kind of composite entity violating Bell's inequalities and exhibiting entanglement. Our theoretical framework includes situations with entangled states and…

量子物理 · 物理学 2015-12-31 Diederik Aerts , Sandro Sozzo

We introduce several classes of quantum combinatorial designs, namely quantum Latin squares, cubes, hypercubes and a notion of orthogonality between them. A further introduced notion, quantum orthogonal arrays, generalizes all previous…

量子物理 · 物理学 2018-06-26 Dardo Goyeneche , Zahra Raissi , Sara Di Martino , Karol Zyczkowski