Hardy’s Paradox as a Demonstration of Quantum Irrealism

Engelbert, N. G.; Angelo, R. M.

doi:10.1007/s10701-020-00321-z

Cited by 17 publications

(13 citation statements)

References 54 publications

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“…Inspired by a significant amount of theoretical and experimental works regarding the emergence of classicality from the quantum substratum [19,[22][23][24][25][26][27][28][29][30][31][32][33], here we propose an axiomatization for the concept of quantum realism. This notion is different from classical reality in a very fundamental manner, namely, non-commuting observables cannot be simultaneous elements of reality in general (Axiom 4).…”

Section: Discussionmentioning

confidence: 99%

“…Unlike the Rényi divergence (23), the Tsallis relative entropy (30) is not additive on its entries. Yet, we show now that it is still possible to construct a reality monotone in this information theory.…”

Section: Tsallis Reality Monotonesmentioning

confidence: 99%

“…Yet, we show now that it is still possible to construct a reality monotone in this information theory. Aiming at accounting for Axiom 1, we employ Theorem 1, unitary invariance, and definitions (30) and (36) to demonstrate that I q E|S (υ t ) − I q E|S (υ 0 ) = D q (ρ||Φ A (ρ)), where υ 0 = ρ ⊗ |e 0 e 0 |. Now, we note that for ρ = |ψ ψ| ⊗ ½ B /d B and Φ A (ψ) = ½/d A we find D q (ρ||Φ A (ρ)) = d q−1 A S q (½ A /d A ), which also manifests the normalization issue.…”

Section: Tsallis Reality Monotonesmentioning

confidence: 99%

“…The criterion of realism envisaged in this approach, henceforth referred to as BA's realism, does not imply full classical reality, since situations are shown to exist where the z-component of spin is an element of reality whereas the x-component is not. Many developments followed from this framework, from a novel notion of nonlocality [27][28][29] to foundational aspects of quantum theory [19,30] and their proof-of-principle [31,32] to the realization that irreality is a quantum resource [33].…”

Section: Introductionmentioning

confidence: 99%

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Quantum realism: axiomatization and quantification

Orthey,

Angelo

2021

Preprint

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The emergence of an objective reality in line with the laws of the microscopic world has been the focus of longstanding debates. Recent approaches seem to have reached a consensus at least with respect to one aspect, namely, that the encoding of information about a given observable in a physical degree freedom is a necessary condition for such observable to become an element of the physical reality. Taking this as a fundamental premise and inspired by quantum information theory, here we build an axiomatization for quantum realism-a notion of realism compatible with quantum theory. Our strategy consists of listing some physically-motivated principles able to characterize quantum realism in a "metric" independent manner. We introduce some criteria defining monotones and measures of realism and then search for potential candidates within some celebrated information theories-those induced by the von Neumann, Rényi, and Tsallis entropies. We explicitly construct some classes of entropic quantifiers that are shown to satisfy (almost all of) the proposed axioms and hence can be taken as faithful estimates for the degree of reality (or definiteness) of a given physical observable. Hopefully, our framework may offer a formal ground for further discussions on foundational aspects of quantum mechanics.

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Section: Discussionmentioning

confidence: 99%

Section: Tsallis Reality Monotonesmentioning

confidence: 99%

Section: Tsallis Reality Monotonesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum realism: axiomatization and quantification

Orthey,

Angelo

2021

Preprint

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“…From this approach, they were able to define a measure of (ir)realism, or (in)definiteness, of an observable given a preparation of a quantum system. This definition, together with the measure of realism, have been proven fruitful in several contexts [14][15][16][17][18][19][20]. For instance, in Ref.…”

Section: Introductionmentioning

confidence: 99%

Reality variation under monitoring with weak measurements

Basso,

Maziero

2021

Preprint

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Recently, inspired by Einstein-Podolsky-Rosen's notion of elements of reality, Bilobran and Angelo gave a formal and operational characterization of (ir)reality [EPL 112, 40005 (2015)]. From this approach, the authors were able to define a measure of (ir)realism, or (in)definiteness, of an observable given a preparation of a quantum system. As well, in [Phys. Rev. A 97, 022107 (2018)], Dieguez and Angelo studied the variation of reality of observables by introducing a map, called monitoring, through weak projective non-revealed measurements. The authors showed that an arbitrary-intensity unrevealed measurement of a given observable X generally increases its reality, also increasing the reality of its incompatible observables X . However, from these results, natural questions arise: under the monitoring map of X, how much does the reality of X increase in comparison to that of X? Does it always increase? This is the kind of question we address in this article. Surprisingly, we show that it is possible that the variation of the reality of X is bigger than the variation of the reality of X. As well, the monitoring map of X does not affect the already established reality of X , even when they are maximally incompatible. On the other hand, there are circumstances where the variation of reality of both observables is the same, even when they are maximally incompatible. Besides, we give a quantum circuit to implement the monitoring map and use it to experimentally verify the variation of reality of observables using IBM's quantum computers.

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Reality variation under monitoring with weak measurements

Basso

Maziero

2022

Quantum Inf Process

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Hardy’s Paradox as a Demonstration of Quantum Irrealism

Cited by 17 publications

References 54 publications

Quantum realism: axiomatization and quantification

Quantum realism: axiomatization and quantification

Reality variation under monitoring with weak measurements

Reality variation under monitoring with weak measurements

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