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In this paper we show a Bell inequality of Clauser-Horne type for three three-dimensional systems (qutrits). Violation of the inequality by quantum mechanics is shown for the case in which each of the three observers measures two…

量子物理 · 物理学 2007-05-23 Jing-Ling Chen , Dagomir Kaszlikowski , L. C. Kwek , C. H. Oh

Three classes of entangled coherent states are employed to study the Bell-CHSH inequality. By using pseudospin operators in infinite dimensional Hilbert spaces, four dichotomic operators $(A,A',B,B')$ entering the inequality are…

量子物理 · 物理学 2023-09-20 Philipe De Fabritiis , Fillipe M. Guedes , Giovani Peruzzo , Silvio P. Sorella

We show that a pair of massive relativistic spin-1/2 particles prepared in a maximally entangled spin state in general is not capable of maximally violating the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequalities without a…

量子物理 · 物理学 2012-06-12 Pablo L. Saldanha , Vlatko Vedral

We describe a simple experimental setting where joint measurements performed on a single (classical or quantum) entity can violate both the Bell-CHSH inequality and the marginal laws (also called no-signaling conditions). Once emitted by a…

量子物理 · 物理学 2021-09-09 Diederik Aerts , Massimiliano Sassoli de Bianchi

Quantum Correlations are studied extensively in quantum information domain. Entanglement Measures and Quantum Discord are good examples of these actively studied correlations. Detection of violation in Bell inequalities is also a widely…

量子物理 · 物理学 2017-05-15 Volkan Erol

Bell's theorem was a cornerstone for our understanding of quantum theory, and the establishment of Bell non-locality played a crucial role in the development of quantum information. Recently, its extension to complex networks has been…

Quantum theory is in principle compatible with processes that violate causal inequalities, an analogue of Bell inequalities that constrain the correlations observed by sets of parties operating in a definite causal order. Since the…

量子物理 · 物理学 2025-04-22 Zixuan Liu , Giulio Chiribella

We implemented the experiment proposed by Cabello [arXiv:quant-ph/0309172] to test the bounds of quantum correlation. As expected from the theory we found that, for certain choices of local observables, Cirel'son's bound of the…

量子物理 · 物理学 2016-09-08 F. A. Bovino , G. Castagnoli , I. P. Degiovanni , S. Castelletto

Witnessing continuous-variable Bell nonlocality is a challenging endeavor, but Bell himself showed how one might demonstrate this nonlocality. Though Bell nearly showed a violation using the CHSH inequality with sign-binned…

量子物理 · 物理学 2016-01-20 James Schneeloch , Samuel H. Knarr , Daniel J. Lum , John C. Howell

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

We present a formalization of several fundamental notions and results from Quantum Information theory, including density matrices and projective measurements, along with the proof that the local hidden-variable hypothesis advocated by…

量子物理 · 物理学 2023-06-23 Mnacho Echenim , Mehdi Mhalla

We investigate quantum correlations appearing for two qubit detectors which are initially uncorrelated and locally coupled to a massless scalar field in a vacuum state. Under the perturbation up to the second order in the coupling, the…

量子物理 · 物理学 2020-11-09 Akira Matsumura , Yasusada Nambu

Bell non-locality is closely related with device independent quantum randomness. In this paper, we present a kind of sum-of-squares (SOS) decomposition for general Bell inequalities in two qubits systems. By using the obtained SOS…

量子物理 · 物理学 2024-09-16 Wen-Na Zhao , Youwang Xiao , Ming Li , Li Xu , Shao-Ming Fei

The usual derivation of the violation of Bell-type inequalities can be applied actually only for small distances between detectors. It does not take into account the dependence of the quantum mechanical wave function on space-time…

量子物理 · 物理学 2023-12-13 Timofei Rusalev , Daniil Stepanenko , Igor Volovich

Relatively few families of Bell inequalities have previously been identified. Some examples are the trivial, CHSH, I_{mm22}, and CGLMP inequalities. This paper presents a large number of new families of tight Bell inequalities for the case…

量子物理 · 物理学 2007-05-23 David Avis , Hiroshi Imai , Tsuyoshi Ito , Yuuya Sasaki

We present the prospects of detecting quantum entanglement and the violation of Bell inequalities in $t\bar{t}$ events at the LHC. We introduce a unique set of observables suitable for both measurements, and then perform the corresponding…

高能物理 - 唯象学 · 物理学 2022-04-20 Claudio Severi , Cristian Degli Esposti Boschi , Fabio Maltoni , Maximiliano Sioli

In the case of a pair of two-outcome measurements incompatibility is equivalent to Bell nonlocality. Indeed, any pair of incompatible two-outcome measurements can violate the Clauser-Horne-Shimony-Holt Bell inequality, which has been proven…

量子物理 · 物理学 2018-01-16 Erika Bene , Tamás Vértesi

Bell's theorem shows that no hidden-variable model can explain the measurement statistics of a quantum system shared between two parties, thus ruling out a classical (local) understanding of nature. In this work we demonstrate that by…

量子物理 · 物理学 2022-03-14 Benjamin Morris , Lukas J. Fiderer , Ben Lang , Daniel Goldwater

The establishment of nonlocal correlations, obtained through the violation of a Bell inequality, is not only important from a fundamental point of view, but constitutes the basis for device-independent quantum information technologies.…

We introduce a new method of investigating qutrit nonclassicality by translating qutrit operators to symmetric two-qubit operators. We show that this procedure partially resolves the discrepancy between maximal qutrit entanglement and…