Experimental tests of multiplicative Bell inequalities and the fundamental role of local correlations

Paneru, Dilip; Te'eni, Amit; Peled, Bar Y.; Hubble, James; Zhang, Yingwen; Carmi, Avishy; Cohen, Eliahu; Karimi, Ebrahim

doi:10.1103/physrevresearch.3.l012025

Cited by 3 publications

(1 citation statement)

References 30 publications

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“…Violations of Bell's inequalities demonstrate that conventional quantum mechanics is incompatible with local realism [1]. Experimental violations of Bell's inequalities were first observed in optical experiments performed in the 1980s [2], followed by a number of refinements of the methods resulting in an increasingly reliable confirmation of the essential result [3,4,5,6,7,8,9,10,11]. These experimental results all confirm the validity of the mathematical formalism without explaining the physical mechanism associated with the failure of local realism [12].…”

Section: Introductionmentioning

confidence: 88%

Experimental investigation of the relation between measurement uncertainties and non-local quantum correlations

Matsuyama,

Hofmann,

Iinuma

2021

Preprint

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Bell's inequalities are defined by sums of correlations involving noncommuting observables in each of the two systems. Violations of Bell's inequalities are only possible because the precision of any joint measurement of these observables will be limited by quantum mechanical uncertainty relations. In this paper we explore the relation between the local measurement uncertainties and the magnitude of the correlations by preparing polarization entangled photon pairs and performing joint measurements of non-commuting polarization components at different uncertainty trade-offs. The change in measurement visibility reveals the existence of a non-trivial balance between the measurement uncertainties where the probabilities of a specific pair of measurement outcomes approaches zero because of the particular combination of enhancement and suppression of the experimentally observed correlations. The occurrence of these high-contrast results shows that the quantum correlations between the photons are close to their maximal value, confirming that the Cirel'son bound of Bell's inequality violations is defined by the minimal uncertainties that limit the precision of joint measurements.

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Section: Introductionmentioning

confidence: 88%

Experimental investigation of the relation between measurement uncertainties and non-local quantum correlations

Matsuyama,

Hofmann,

Iinuma

2021

Preprint

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Experimental investigation of the relation between measurement uncertainties and non-local quantum correlations

Matsuyama¹,

Hofmann²,

Iinuma³

2021

J. Phys. Commun.

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Bell’s inequalities are defined by sums of correlations involving non-commuting observables in each of the two systems. Violations of Bell’s inequalities are only possible because the precision of any joint measurement of these observables will be limited by quantum mechanical uncertainty relations. In this paper we explore the relation between the local measurement uncertainties and the magnitude of the correlations by preparing polarization entangled photon pairs and performing joint measurements of non-commuting polarization components at different uncertainty trade-offs. The change in measurement visibility reveals the existence of a non-trivial balance between the measurement uncertainties where the probabilities of a specific pair of measurement outcomes approaches zero because of the particular combination of enhancement and suppression of the experimentally observed correlations. The occurrence of these high-contrast results shows that the quantum correlations between the photons are close to their maximal value, confirming that the Cirel’son bound of Bell’s inequality violations is defined by the minimal uncertainties that limit the precision of joint measurements.

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Quantum contextuality of complementary photon polarizations explored by adaptive input state control

Matsuyama,

Ji,

Hofmann

et al. 2023

Phys. Rev. A

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Experimental tests of multiplicative Bell inequalities and the fundamental role of local correlations

Cited by 3 publications

References 30 publications

Experimental investigation of the relation between measurement uncertainties and non-local quantum correlations

Experimental investigation of the relation between measurement uncertainties and non-local quantum correlations

Experimental investigation of the relation between measurement uncertainties and non-local quantum correlations

Quantum contextuality of complementary photon polarizations explored by adaptive input state control

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