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Linearly polarized projections are the tacit means for performing Clauser-Horne-Shimony-Holt (CHSH) Bell-inequality tests using polarization-entangled photon pairs. The inequality is valid for all states on the Poincar\'e-Bloch sphere, but…

Quantum Physics · Physics 2025-12-30 Carlos Cardoso-Isidoro , Enrique J. Galvez

Self testing is a device-independent technique based on non-local correlations whose aim is to certify the effective uniqueness of the quantum state and measurements needed to produce these correlations. It is known that the maximal…

Quantum Physics · Physics 2016-07-12 Ivan Šupić , Remigiusz Augusiak , Alexia Salavrakos , Antonio Acín

Can a Bell test with no detection loophole be demonstrated for multi-photon entangled states of light within the current technology? We examine the possibility of a postselection-free CHSH-Bell inequality test wih an unsymmetrical…

Quantum Physics · Physics 2014-02-24 M. Stobińska , F. Töppel , P. Sekatski , A. Buraczewski

A generalization of the CHSH-Bell inequality to arbitrary many settings is presented. The singlet state of two spin $\half$ violates this inequality for all numbers of setting. In the limit of arbitrarily large number of settings, the…

Quantum Physics · Physics 2009-10-31 N. Gisin

Self-testing has been a rich area of study in quantum information theory. It allows an experimenter to interact classically with a black box quantum system and to test that a specific entangled state was present and a specific set of…

Quantum Physics · Physics 2021-09-23 David Cui , Arthur Mehta , Hamoon Mousavi , Seyed Sajjad Nezhadi

Self-testing protocols enable the certification of quantum systems in a device-independent manner, i.e. without knowledge of the inner workings of the quantum devices under test. Here, we demonstrate this high standard for characterization…

We study an asymmetric form of two-mode entangled coherent state (ECS), where the two local amplitudes have different values, for testing the Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH) inequality. We find that the asymmetric ECSs have…

Quantum Physics · Physics 2015-05-20 Chae-Yeun Park , Hyunseok Jeong

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…

Quantum Physics · Physics 2022-03-14 Benjamin Morris , Lukas J. Fiderer , Ben Lang , Daniel Goldwater

We show that it is possible to find maximal violations of the CHSH-Bell inequality using only position measurements on a pair of entangled non-relativistic free particles. The device settings required in the CHSH inequality are done by…

Quantum Physics · Physics 2015-05-14 J. Kiukas , R. F. Werner

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…

Quantum Physics · Physics 2024-09-16 Wen-Na Zhao , Youwang Xiao , Ming Li , Li Xu , Shao-Ming Fei

An experiment in which the Clauser-Horne-Shimony-Holt inequality is maximally violated is self-testing (i.e., it certifies in a device-independent way both the state and the measurements). We prove that an experiment maximally violating…

Quantum Physics · Physics 2017-10-06 Ole Andersson , Piotr Badziąg , Ingemar Bengtsson , Irina Dumitru , Adán Cabello

A long-standing problem in the foundations of quantum mechanics is to identify a physical principle that explains why algebraically maximal violations of Bell inequalities can generally not be achieved in Nature. One recently proposed…

Quantum Physics · Physics 2026-03-24 Lionel J. Dmello , David Gross

We demonstrate an experimental test of the Clauser-Horne-Shimony-Holt (CHSH) Bell inequality which seemingly exhibits correlations beyond the limits imposed by quantum mechanics. Inspired by the idea of Fourier synthesis, we design…

Quantum Physics · Physics 2015-06-17 Jacquiline Romero , Daniel Giovannini , Daniel Tasca , Steve Barnett , Miles Padgett

Here we demonstrate, for the first time, violation of Bell's inequality using a triggered quantum dot photon-pair source without post-selection. Furthermore, the fidelity to the expected Bell state can be increased above 90% using temporal…

Quantum Physics · Physics 2010-04-22 R. J. Young , R. M. Stevenson , A. J. Hudson , C. A. Nicoll , D. A. Ritchie , A. J. Shields

A systematic approach is presented to construct non-homogeneous two- and three-qubit Bell-type inequalities. When projector-like terms are subtracted from homogeneous two-qubit CHSH polynomial, non-homogeneous inequalities are attained and…

Quantum Physics · Physics 2009-01-22 Mingjun Shi , Changliang Ren , Jiangfeng Du

Nonlocality is a fascinating and counterintuitive aspect of Nature, revealed by the violation of a Bell inequality. The standard and easiest configuration in which Bell inequalities can be measured has been proposed by…

Quantum Physics · Physics 2015-03-17 Enrico Pomarico , Jean-Daniel Bancal , Bruno Sanguinetti , Anas Rochdi , Nicolas Gisin

We show that the use of probabilistic noiseless amplification in entangled coherent state-based schemes for the test of quantum non locality provides substantial advantages. The threshold amplitude to falsify a Bell-CHSH non locality test,…

Quantum Physics · Physics 2013-05-14 G. Torlai , G. McKeown , P. Marek , R. Filip , H. Jeong , M. Paternostro , G. De Chiara

Bell's theorem sets a boundary between the classical and quantum realms, by providing a strict proof of the existence of entangled quantum states with no classical counterpart. An experimental violation of Bell's inequality demands…

We propose a whole family of physical states that yield a violation of the Bell CHSH inequality arbitrarily close to its maximum value, when using quadrature phase homodyne detection. This result is based on a new binning process called…

The violation of Bell, CHSH and CH inequalities indicates only that the assumption of "conterfactual definiteness" and/or the probabilistic models used in proofs were incorrect. In this paper we discuss in detail an intimate relation…

Quantum Physics · Physics 2015-08-26 Marian Kupczynski