Experimental entropic test of state-independent contextuality via single photons

Qu, Dengke; Kurzyński, Paweł; Kaszlikowski, Dagomir; Raeisi, Sadegh; Liu, Xiao; Wang, Kunkun; Zhan, Xiang; Xue, Peng

doi:10.1103/physreva.101.060101

Cited by 12 publications

(10 citation statements)

References 24 publications

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“…By cascading these apparatuses, the expectation values of the correlations appeared in χ can finally be determined. In the setting of contextuality experiment, the cascading technique was first demonstrated by Amselem et al [52] and subsequently adopted in various works [129,130], and in References [55,131] in a projective manner. Here, the authors imported this technique into the beam displacer array architecture where the phases between different optical paths are essentially free of drift; thanks to the self-stabilized interferometer, a very high value of contextuality witness χ = 5.817 ± 0.011 was reported.…”

Section: B Activation Of Nonlocality From Contextualitymentioning

confidence: 99%

Twenty years of quantum contextuality at USTC

Liu,

Li,

Liu

et al. 2022

Preprint

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Quantum contextuality is one of the most perplexing and peculiar features of quantum mechanics. Concisely, it refers to the observation that the result of a single measurement in quantum mechanics depends on the set of joint measurements actually performed. The study of contextuality has a long history at University of Science and Technology of China (USTC). Here we review the theoretical and experimental advances in this direction achieved at USTC over the last 20 years. We start by introducing the renowned simplest proof of state-independent contextuality. We then present several experimental tests of quantum versus noncontextual theories with photons. Finally, we discuss the investigation on the role of contextuality in general quantum information science and its application in quantum computation. CONTENTS I. Introduction 1 II. Theory: the Kochen-Specker theorem and its proofs 2 A. Towards the ultimate simplicity 3 B. The graph-theoretical approach to contextuality 5 III. Experiment: photonic tests of contextuality 6 A. Violation of noncontextuality inequality 8 B. Contextuality as prepare-and-measure experiments 8 C. The power of multiple degrees of freedom 10 D. Loophole-free tests of contextuality 13

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Section: B Activation Of Nonlocality From Contextualitymentioning

confidence: 99%

Twenty years of quantum contextuality at USTC

Liu,

Li,

Liu

et al. 2022

Preprint

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show abstract

“…The angle of these HWPs can be obtained from Ref. [20]. Then, we use HWPs and a BD to merge the left and right path into the right path, so that we can convert left and right path information of this photon into polarization.…”

Section: Individual Systemmentioning

confidence: 99%

“…Recently, quantum contextuality has been demonstrated in the nitrogen-vacancy center, [8] trapped ions, [9,10] neutron experiments, [11,12] and photonic systems. [13][14][15][16][17][18][19][20][21][22][23] Here we propose an experiment test of state-independent contextuality proof known as the Mermin pentagram in eight-dimensional Hilbert space. [24,25] The contextuality can be proven by the violation of a KS inequality derived by Cabello.…”

Section: Introductionmentioning

confidence: 99%

Optical scheme to demonstrate state-independent quantum contextuality

Liu

et al. 2022

Chinese Phys. B

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The contradiction between classical and quantum physics can be identified through quantum contextuality, which does not need composite systems or spacelike separation. Contextuality is proven either by a logical contradiction between the noncontextuality hidden variable predictions and those of quantum mechanics or by the violation of noncontextual inequality. We propose an experimental scheme of state-independent contextual inequality derived from the Mermin proof of the Kochen–Specker (KS) theorem in eight-dimensional Hilbert space, which could be observed either in an individual system or in a composite system. We also show how to resolve the compatibility problems. Our scheme can be implemented in optical systems with current experiment techniques.

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“…Subsequently, the work was extended to include non-contextual scenarios [33,34] as well, and the inequalities are generally termed as entropic non-contextuality (ENC) inequalities. Since their inception, these inequalities have been studied extensively and have also been realized experimentally [35][36][37][38][39]. Experimental implementations of state dependent [38] as well as state independent [39] ENC inequalities have been performed on optical systems.…”

Section: Introductionmentioning

confidence: 99%

“…Since their inception, these inequalities have been studied extensively and have also been realized experimentally [35][36][37][38][39]. Experimental implementations of state dependent [38] as well as state independent [39] ENC inequalities have been performed on optical systems.…”

Section: Introductionmentioning

confidence: 99%

Monogamy relations of entropic non-contextual inequalities and their experimental realization

Singh¹,

Singh²,

Dorai³

et al. 2022

Preprint

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We develop a theoretical framework based on a graph theoretic approach to analyze monogamous relationships of entropic non-contextuality (ENC) inequalities. While ENC inequalities are important in quantum information theory and are well studied, theoretical as well as experimental demonstration of their monogamous nature is still elusive. We provide conditions for ENC inequalities to exhibit a monogamous relationship and derive the same for general scenarios. We show that two entropic versions of the Bell-CHSH inequality acting on a tripartite scenario exhibit a monogamous relationship, for which we provide a theoretical proof as well as an experimental validation on an NMR quantum information processor. Our experimental technique to evaluate entropies has been designed to obtain information about entropies via measurement of only the expectation values of observables.

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Experimental entropic test of state-independent contextuality via single photons

Cited by 12 publications

References 24 publications

Twenty years of quantum contextuality at USTC

Twenty years of quantum contextuality at USTC

Optical scheme to demonstrate state-independent quantum contextuality

Monogamy relations of entropic non-contextual inequalities and their experimental realization

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