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Measuring an entangled state of two particles is crucial to many quantum communication protocols. Yet Bell state distinguishability using a finite apparatus obeying linear evolution and local measurement is theoretically limited. We extend…

量子物理 · 物理学 2011-09-09 N. Pisenti , C. P. E. Gaebler , T. W. Lynn

There are many different classifications of entanglement for multipartite quantum systems, one of which is based on the number of unentangled particles. In this paper, we mainly study the quantum states containing at most $k-1$ unentangled…

量子物理 · 物理学 2022-01-21 Yan Hong , Xianfei Qi , Ting Gao , Fengli Yan

We study the problem of detecting multipartite entanglement among indistinguishable fermionic particles. A multipartite concurrence for pure states of $N$ identical fermions, each one having a $d$-dimensional single-particle Hilbert space,…

量子物理 · 物理学 2016-04-06 A. P. Majtey , P. A. Bouvrie , A. Valdés-Hernández , A. R. Plastino

Beyond the simplest case of bipartite qubits, the composite Hilbert space of multipartite systems is largely unexplored. In order to explore such systems, it is important to derive analytic expressions for parameters which characterize the…

量子物理 · 物理学 2013-10-04 S. Agarwal , S. M. Hashemi Rafsanjani

Entanglement of high-dimensional quantum systems has become increasingly important for quantum communication and experimental tests of nonlocality. However, many effects of high-dimensional entanglement can be simulated by using multiple…

量子物理 · 物理学 2018-02-09 Tristan Kraft , Christina Ritz , Nicolas Brunner , Marcus Huber , Otfried Gühne

Based on the mutually unbiased bases, the mutually unbiased measurements and the general symmetric informationally complete positive-operator-valued measures, we propose three separability criteria for $d$-dimensional bipartite quantum…

量子物理 · 物理学 2015-09-02 Shu-Qian Shen , Ming Li , Xue-Feng Duan

Classification of multipartite states aims to obtain a set of operationally useful and finite entanglement classes under the action of either local unitary (LU) or stochastic local operation and classical communication (SLOCC). In this…

We present a method to find the decompositions of tripartite entangled pure states which are smaller than two successive Schmidt decompositions. The method becomes very simple when one of the subsystems is a qubit. In this particular case,…

量子物理 · 物理学 2009-11-11 Marcio F. Cornelio , A. F. R. de Toledo Piza

The aim of the paper is to propose geometric descriptions of multipartite entangled states using algebraic geometry. In the context of this paper, geometric means each stratum of the Hilbert space, corresponding to an entangled state, is an…

数学物理 · 物理学 2013-02-12 Frédéric Holweck , Jean-Gabriel Luque , Jean-Yves Thibon

We consider a quantum system with a finite number of distinguishable quantum states, which may be partitioned freely by a number of quantum particles, assumed to be maximally entangled. We show that if we partition the system into a number…

A new class of quantum states is introduced by demanding that the computational measurement statistics approach the Boltzmann distribution of higher-order strongly coupled Ising models. The states, referred to as $n$-coupled states, are…

量子物理 · 物理学 2024-04-10 Abel Jansma

Despite the successful experimental generation and verification of genuine multipartite entanglement, several existing entanglement measures remain insufficient to reliably capture its presence. In this study, we overcome this challenge by…

量子物理 · 物理学 2025-10-20 Shruti Aggarwal

We introduce a protocol to classify three-qubit pure states into different entanglement classes and implement it on an NMR quantum processor. The protocol is designed in such a way that the experiments performed to classify the states can…

量子物理 · 物理学 2024-11-07 Vaishali Gulati , Arvind , Kavita Dorai

We discuss the problem of determining whether the state of several quantum mechanical subsystems is entangled. As in previous work on two subsystems we introduce a procedure for checking separability that is based on finding state…

量子物理 · 物理学 2007-05-23 Andrew C. Doherty , Pablo A. Parrilo , Federico M. Spedalieri

Holographic systems require monogamous mutual information for validity of semiclassical geometry. This is encoded by the sign of the tripartite information ($I3$). We investigate the behaviour of $I3$ for all partitionings of systems in…

高能物理 - 理论 · 物理学 2016-05-04 Massimiliano Rota

Entanglement is a fundamental aspect of quantum physics, both conceptually and for its many applications. Classifying an arbitrary multipartite state as entangled or separable -- a task referred to as the separability problem -- poses a…

Given a multipartite quantum system that consists of two-level particles (qubits), one may or may not have access to all the subsystems. What can we know about the entanglement of the multiqubit system and residual correlations beyond…

量子物理 · 物理学 2021-11-16 S. Shelly Sharma , Naresh K. Sharma

We propose and examine several candidates for universal multipartite entanglement measures. The most promising candidate for applications needing entanglement in the full Hilbert space is the ent-concurrence, which detects all entanglement…

量子物理 · 物理学 2018-04-19 Samuel R. Hedemann

Genuine multipartite entanglement is crucial for quantum information and related technologies but quantifying it has been a long-standing challenge. Most proposed measures do not meet the ``genuine'' requirement, making them unsuitable for…

量子物理 · 物理学 2024-06-25 Songbo Xie , Daniel Younis , Yuhan Mei , Joseph H. Eberly

Systems of four nonbinary particles, each having three or more internal states, exhibit maximally entangled states that are inaccessible to four qubits. This breaks the pattern of two- and three-particle systems, in which the existing graph…

量子物理 · 物理学 2015-06-23 Mario Gaeta , Andrei Klimov , Jay Lawrence
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