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How can one prove that a given state is entangled? In this paper we review different methods that have been proposed for entanglement detection. We first explain the basic elements of entanglement theory for two or more particles and then…

量子物理 · 物理学 2009-04-16 Otfried Gühne , Geza Toth

In this paper the failure of Hardy's nonlocality proof for the class of maximally entangled states is considered. A detailed analysis shows that the incompatibility of the Hardy equations for this class of states physically originates from…

量子物理 · 物理学 2007-05-23 Jose L. Cereceda

Bell-inequality checks constitute a probe of entanglement -- given a source of entangled particles, their violation are a signature of the non-local nature of quantum mechanics. Here, we study a solid state device producing pairs of…

介观与纳米尺度物理 · 物理学 2009-11-07 Nikolai M. Chtchelkatchev , Gianni Blatter , Gordey B. Lesovik , Thierry Martin

We describe the spin and momentum degrees of freedom of a system of two massive spin--$\tfrac{1}{2}$ particles as a 4 qubit system. Then we explicitly show how the entanglement changes between different partitions of the qubits, when…

量子物理 · 物理学 2012-02-01 Nicolai Friis , Reinhold A. Bertlmann , Marcus Huber , Beatrix C. Hiesmayr

Bell inequalities are central tools for studying nonlocal correlations and their applications in quantum information processing. Identifying inequalities for many particles or measurements is, however, difficult due to the computational…

量子物理 · 物理学 2020-11-17 Fabian Bernards , Otfried Gühne

We analyze the structure of correlations among more than two quantum systems. We introduce a classification of correlations based on the concept of non-separability, which is different {\em a priori} from the concept of entanglement.…

量子物理 · 物理学 2009-11-07 Daniel Collins , Nicolas Gisin , Sandu Popescu , David Roberts , Valerio Scarani

Nonlocality, manifested by the violation of Bell inequalities, indicates entanglement within a joint quantum system. A natural question is how much entanglement is required for a given nonlocal behavior. Here, we explore this question by…

量子物理 · 物理学 2025-06-23 Yuwei Zhu , Xingjian Zhang , Xiongfeng Ma

Bell-like inequalities have been used in order to distinguish non-local quantum pure states by various authors. The behavior of such inequalities under Lorentz transformation has been a source of debate and controversies in the past. In…

综合物理 · 物理学 2016-06-07 H. Moradpour , A. Montakhab

This letter presents quantum mechanical inequalities which distinguish, for systems of $N$ spin-$\half$ particles ($N>2$), between fully entangled states and states in which at most $N-1$ particles are entangled. These inequalities are…

量子物理 · 物理学 2009-11-07 Jos Uffink

Bell's theorem applies to the normalizable approximations of the original Einstein-Podolsky-Rosen (EPR) state. The constructions of the proof require measurements difficult to perform, and dichotomic observables. By noticing the fact that…

量子物理 · 物理学 2015-03-12 Krzysztof Rosołek , Magdalena Stobińska , Marcin Wieśniak , Marek Żukowski

Bell-Clauser-Horne-Shimony-Holt inequality (in terms of correlation functions) of two qutrits is studied in detail by employing tritter measurements. A uniform formula for the maximum value of this inequality for tritter measurements is…

量子物理 · 物理学 2007-05-23 Li-Bin Fu , Jing-Ling Chen , Xian-Geng Zhao

Entanglement is a fundamental resource for quantum information science. However, bipartite entanglement is destroyed when one particle is observed via projective (sharp) measurements, as it is typically the case in most experiments. Here we…

An EPR experiment is studied where each particle within the entangled pair undergoes a few weak measurements (WMs) along some pre-set spin orientations, with the outcomes individually recorded. Then the particle undergoes one strong…

量子物理 · 物理学 2015-06-23 Yakir Aharonov , Eliahu Cohen , Avshalom C. Elitzur

Based on spin-orbit coupling induced by q-plates, we present a feasible experimental proposal for preparing two-dimensional spatially inhomogeneous polarizations of light. We further investigate the quantum correlations between these…

量子物理 · 物理学 2015-05-30 Lixiang Chen , Xiancong Lu , Zhongqun Cheng

We investigate the non-local properties of graph states. To this aim, we derive a family of Bell inequalities which require three measurement settings for each party and are maximally violated by graph states. In turn, for each graph state…

量子物理 · 物理学 2007-05-23 Otfried Guehne , Geza Toth , Philipp Hyllus , Hans J. Briegel

A proof of Bell's theorem without inequalities for two maximally entangled particles is proposed using the technique of quantum teleportation. It follows Hardy's arguments for a non-maximally entangled state with the help of two auxiliary…

量子物理 · 物理学 2007-05-23 W. LiMing

The exploration of fundamental quantum phenomena, such as entanglement and Bell inequality violations$-$extensively studied in low-energy regimes$-$has recently extended to high-energy particle collisions. Experimentally, Bell inequality…

高能物理 - 唯象学 · 物理学 2026-05-19 Emidio Gabrielli

In 1935, Einstein, Podolsky and Rosen (EPR) questioned the completeness of quantum mechanics by devising a quantum state of two massive particles with maximally correlated space and momentum coordinates. The EPR criterion qualifies such…

量子物理 · 物理学 2015-11-30 J. Peise , I. Kruse , K. Lange , B. Lücke , L. Pezzè , J. Arlt , W. Ertmer , K. Hammerer , L. Santos , A. Smerzi , C. Klempt

In this PhD thesis, several aspects regarding maximal entanglement are analyzed. In the first chapter, Bell Inequalities are analyzed from an operational perspective as well as novel Bell inequalities are obtained together with their…

量子物理 · 物理学 2019-07-01 Alba Cervera-Lierta

We construct the tripartite Bell-type inequalities of product states for l1-norm of coherence, relative entropy of coherence and skew information. Some three-qubit entangled states violate these inequalities. Particulary, the tripartite…

量子物理 · 物理学 2016-10-25 L. Qiu , Z. Liu , F. Pan