Hardy-type paradoxes for an arbitrary symmetric bipartite Bell scenario

• URL: http://arxiv.org/abs/2311.02045v2
• Date: Thu, 14 Mar 2024 10:35:10 GMT
• Title: Hardy-type paradoxes for an arbitrary symmetric bipartite Bell scenario
• Authors: Kai-Siang Chen, Shiladitya Mal, Gelo Noel M. Tabia, Yeong-Cherng Liang,
• Abstract summary: We give two generalizations of Hardy's arguments for manifesting such a paradox to an arbitrary, but symmetric Bell scenario. One can be naturally interpreted as a demonstration of the failure of transitivity of implications. A special case of which is equivalent to a ladder-proof-type argument for Hardy's paradox.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: As with a Bell inequality, Hardy's paradox manifests a contradiction between the prediction given by quantum theory and local-hidden variable theories. In this work, we give two generalizations of Hardy's arguments for manifesting such a paradox to an arbitrary, but symmetric Bell scenario involving two observers. Our constructions recover that of Meng et al. [Phys. Rev. A. 98, 062103 (2018)] and that first discussed by Cabello [Phys. Rev. A 65, 032108 (2002)] as special cases. Among the two constructions, one can be naturally interpreted as a demonstration of the failure of the transitivity of implications (FTI). Moreover, a special case of which is equivalent to a ladder-proof-type argument for Hardy's paradox. Through a suitably generalized notion of success probability called degree of success, we provide evidence showing that the FTI-based formulation exhibits a higher degree of success compared with all other existing proposals. Moreover, this advantage seems to persist even if we allow imperfections in realizing the zero-probability constraints in such paradoxes. Explicit quantum strategies realizing several of these proofs of nonlocality without inequalities are provided.

Related papers

• Conventional Quantum Theory Does Not Support A Coherent Relational Account [0.0]
  Quantum theory in conventional formulation is notoriously subject to various measurement-related paradoxes. Inconsistencies concerning the outcomes of measurements can be revealed among observers. implications for the debate concerning the viability of quantum theory in its various formulations are discussed.
  arXiv  Detail & Related papers  (2024-06-25T05:35:32Z)
• Testing trajectory-based determinism via time probability distributions [44.99833362998488]
  Bohmian mechanics (BM) has inherited more predictive power than quantum mechanics (QM) We introduce a prescription for constructing a flight-time probability distribution within generic trajectory-equipped theories. We derive probability distributions that are unreachable by QM.
  arXiv  Detail & Related papers  (2024-04-15T11:36:38Z)
• Connecting classical finite exchangeability to quantum theory [69.62715388742298]
  Exchangeability is a fundamental concept in probability theory and statistics. We show how a de Finetti-like representation theorem for finitely exchangeable sequences requires a mathematical representation which is formally equivalent to quantum theory.
  arXiv  Detail & Related papers  (2023-06-06T17:15:19Z)
• A Measure-Theoretic Axiomatisation of Causality [55.6970314129444]
  We argue in favour of taking Kolmogorov's measure-theoretic axiomatisation of probability as the starting point towards an axiomatisation of causality. Our proposed framework is rigorously grounded in measure theory, but it also sheds light on long-standing limitations of existing frameworks.
  arXiv  Detail & Related papers  (2023-05-19T13:15:48Z)
• Experimental implementation of Hardy-like quantum pigeonhole paradoxes [5.141645431801557]
  We present the general Hardy-like quantum pigeonhole paradoxes for textitn-particle states. Several kinds of Hardy-like quantum pigeonhole paradoxes can even give rise to higher success probability.
  arXiv  Detail & Related papers  (2022-06-06T02:46:40Z)
• On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources [51.243733928201024]
  We show that the proof of the generalised quantum Stein's lemma is not correct due to a gap in the argument leading to Lemma III.9. This puts into question a number of established results in the literature, in particular the reversibility of quantum entanglement.
  arXiv  Detail & Related papers  (2022-05-05T17:46:05Z)
• Why we should interpret density matrices as moment matrices: the case of (in)distinguishable particles and the emergence of classical reality [69.62715388742298]
  We introduce a formulation of quantum theory (QT) as a general probabilistic theory but expressed via quasi-expectation operators (QEOs) We will show that QT for both distinguishable and indistinguishable particles can be formulated in this way. We will show that finitely exchangeable probabilities for a classical dice are as weird as QT.
  arXiv  Detail & Related papers  (2022-03-08T14:47:39Z)
• Events in quantum mechanics are maximally non-absolute [0.9176056742068814]
  We prove that quantum correlations can be maximally non-absolute according to both quantifiers. We show that chained Bell inequalities (and relaxations thereof) are also valid constraints for Wigner's experiment.
  arXiv  Detail & Related papers  (2021-12-19T21:15:16Z)
• Epistemic Horizons: This Sentence is $\frac{1}{\sqrt{2}}(|True\rangle + |False\rangle)$ [0.0]
  In [Found. Phys. 48.12: 1669], the notion of 'epistemic horizon' was introduced as an explanation for many of the puzzling features of quantum mechanics. We give a brief presentation of the framework, and then demonstrate how it naturally yields Bell inequality violations.
  arXiv  Detail & Related papers  (2020-07-29T15:26:53Z)
• Statistical and Topological Properties of Sliced Probability Divergences [30.258116496304662]
  We derive various theoretical properties of sliced probability divergences. We show that slicing preserves the metric axioms and the weak continuity of the divergence. We then precise the results in the case where the base divergence belongs to the class of integral probability metrics.
  arXiv  Detail & Related papers  (2020-03-12T13:15:17Z)
• A strong no-go theorem on the Wigner's friend paradox [0.0]
  We prove that if quantum evolution is controllable on the scale of an observer, then one of 'No-Superdeterminism', 'Locality' or 'Absoluteness of Observed Events' must be false. We show that although the violation of Bell-type inequalities in such scenarios is not in general sufficient to demonstrate the contradiction between those three assumptions, new inequalities can be derived in a theory-independent manner.
  arXiv  Detail & Related papers  (2019-07-12T08:09:44Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.