Recent Advances in Contextuality Tests

Thompson, Jayne; Kurzyński, Paweł; Lee, Suyong; Soeda, Akihito; Kaszlikowski, Dagomir

doi:10.1142/s1230161216500098

Cited by 11 publications

(13 citation statements)

References 89 publications

(123 reference statements)

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“…It is said that theory is non-contextual if for a given set A of physical quantities: = { } A A A A , ,..., N 1 2 each yielding respective measurements' outcomes = ¼ a i N , 1, , i , the obtained values a i does not depend on the measurements' context, i.e. the set of another members of A measured along the quantity A i [8]. In other words, there exists a joint probability distribution and the probabilities of individual events can be calculated as the marginals of p joint [8,9].…”

Section: Introductionmentioning

confidence: 99%

“…the set of another members of A measured along the quantity A i [8]. In other words, there exists a joint probability distribution and the probabilities of individual events can be calculated as the marginals of p joint [8,9]. An experimentally verifiable test for entanglement proposed by Bell [10] implemented in experiments performed by Alain Aspect and his collaborators [11] confirmed validity of quantum mechanics even though some physicists discerned the so-called 'loopholes' [12] opening the 'door' to the abolishment of quantum mechanics in favour of the hidden variable theories.…”

Section: Introductionmentioning

confidence: 99%

“…All these aspects indicate that the contextuality has become the active area of research. Roughly speaking the quantum contextuality tests verify if the expectation values of the set of observables can be described with the joint probability distribution [8]. There exist two classes of tests of the contextuality: state-dependent ones which provide an evidence for the non-contextuality only for certain, often narrow, class of quantum states [23,24] and state-independent test, which are valid for an arbitrary quantum state [25].…”

Section: Introductionmentioning

confidence: 99%

“…Due to its simplicity, in our work we focus only on the Klyachko-Can-Binicioglu-Shumovsky test (KCBS test) [24]. It is state-dependent [8] but requires only five observables to be measured and it is designed for the three-dimensional system [26] which is exactly the one considered in this paper. The KCBS inequality is constructed as follows.…”

Section: Introductionmentioning

confidence: 99%

“…The vectors ñ |v i form a regular pentagon, as presented in figure 1 [8,24]. Quantum world however, although essentially contextual, does not always obey this inequality.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Quantum contextuality of a single neutrino under interactions with matter

2018

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We study contextuality of the three neutrinos oscillations using the Klyachko-Can-BiniciogluShumovsky 5-observable test. We show how the interaction between neutrinos and normal matter affects contextuality-its loss and its possible revivals. We show that for open neutrino's system, interacting with an environment, revivals of contextuality survive in a presence of decoherence included in the neutrino's Lindblad-Kossakowski master equation in a simplest Markovian approximation.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The vectors ñ |v i form a regular pentagon, as presented in figure 1 [8,24]. Quantum world however, although essentially contextual, does not always obey this inequality.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Quantum contextuality of a single neutrino under interactions with matter

2018

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Classical systems can be contextual too: Analogue of the Mermin–Peres square

Błasiak

2015

Annals of Physics

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Contextuality lays at the heart of quantum mechanics. In the prevailing opinion it is considered as a signature of "quantumness" that classical theories lack. However, this assertion is only partially justified. Although contextuality is certainly true of quantum mechanics, it cannot be taken by itself as discriminating against classical theories. Here we consider a representative example of contextual behaviour, the so-called Mermin-Peres square, and present a discrete toy model of a bipartite system which reproduces the pattern of quantum predictions that leads to contradiction with the assumption of non-contextuality. This illustrates that quantum-like contextual effects have their analogues within classical models with epistemic constraints such as limited information gain and measurement disturbance. way out of this conundrum and, in particular, what form acceptable hidden variable models could take to that effect. Certainly, at this point one should seriously reflect on the John Bell's dictum "... what is proved by impossibility proofs is lack of imagination" [9]. It might suggest that perhaps revision of the relation between the concept of observable and measurement is required for better understanding of the theory. In this article we attempt to explore this possibility and show that careful distinction between these concepts opens a way for methodological discussion of contextual effects in classical systems too.Difficulty in making sense of contextuality in classical terms often prompts to consider it as a signature distinguishing between quantum and classical realms. Indeed, the possibility of contextual hidden variable models aiming at reconstruction of quantum predictions is hardly explored. On the other hand, the hypothesis of non-contextual hidden variable models has been thoroughly investigated [5] and proved to be directly testable [10,11]. In particular, many state-independent quantum-contextuality experiments have been recently performed e.g. with trapped ions [12], photons [13,14] and magnetic-resonance systems [15]. Essentially all of them boil down to checking of the pattern captured in the so called Mermin-Peres square [16,17]. Certainly, these results provide compelling evidence for contextual behaviour in these experimental setups, thus pushing the project of hidden variable models to the less explored contextual camp. In this work we present a simple probabilistic model which reproduces the pattern of quantum observables considered in the Mermin-Peres square and demonstrates quantum-like contextuality in a classical bipartite system. One immediate feature of the presented model is state-independent violation of contextuality inequality [10] in accord with quantum mechanical predictions.Many results suggest that quantum states can be understood as states of knowledge. Strong evidence in favour of this view is given, in particular, by concrete models providing classical analogues of various phenomena typically associated with strictly quantum mechanical characteristics [18,19,20,21,22,23,2...

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Limits Of Quantum Information In Weak Interaction Processes Of Hyperons

Hiesmayr

2015

Sci Rep

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We analyze the achievable limits of the quantum information processing of the weak interaction revealed by hyperons with spin. We find that the weak decay process corresponds to an interferometric device with a fixed visibility and fixed phase difference for each hyperon. Nature chooses rather low visibilities expressing a preference to parity conserving or violating processes (except for the decay Σ+→ pπ0). The decay process can be considered as an open quantum channel that carries the information of the hyperon spin to the angular distribution of the momentum of the daughter particles. We find a simple geometrical information theoretic interpretation of this process: two quantization axes are chosen spontaneously with probabilities where α is proportional to the visibility times the real part of the phase shift. Differently stated, the weak interaction process corresponds to spin measurements with an imperfect Stern-Gerlach apparatus. Equipped with this information theoretic insight we show how entanglement can be measured in these systems and why Bell’s nonlocality (in contradiction to common misconception in literature) cannot be revealed in hyperon decays. Last but not least we study under which circumstances contextuality can be revealed.

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Recent Advances in Contextuality Tests

Cited by 11 publications

References 89 publications

Quantum contextuality of a single neutrino under interactions with matter

Quantum contextuality of a single neutrino under interactions with matter

Classical systems can be contextual too: Analogue of the Mermin–Peres square

Limits Of Quantum Information In Weak Interaction Processes Of Hyperons

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