Quantum tests via inequalities for joint statistics

• URL: http://arxiv.org/abs/2607.12591v1
• Date: Tue, 14 Jul 2026 10:06:52 GMT
• Title: Quantum tests via inequalities for joint statistics
• Abstract summary: We find violations for the maximally mixed state, as well as cases where all system states violate them.<n>This points to the idea that these results are more than a property of the system states, but are instead a property of the statistical structure of quantum mechanics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work we derive statistical inequalities whose violation is equivalent to the impossibility of describing the data by a genuine joint probability distribution. So they are witnesses of the failure of a common probability space. We examine whether the most significant quantum quasidistributions violate these inequalities. We examine also whether these inequalitites are violated by the joint distributions derived form a noisy joint measurement. As a relevant example we find violations for the maximally mixed state, as well as cases where all system states violate them. This points to the idea that these results are more than a property of the system states, but are instead a property of the statistical structure of quantum mechanics.

Related papers

• Freeness Reined in by a Single Qubit [36.94429692322632]
  We find that, even in this setting, the correlation functions predicted by free probability theory receive corrections of order $O(1)$.<n>We trace their origin to non-uniformly distributed stationary quantum states, which we characterize analytically and confirm numerically.
  arXiv  Detail & Related papers  (2025-12-15T19:00:09Z)
• Quantum-Like Correlations from Local Hidden-Variable Theories Under Conservation Law [45.88028371034407]
  We show how to construct a local hidden-variable model that violates Bell inequalities.<n>The model also gives subtly different predictions to quantum mechanics, that could be tested experimentally.
  arXiv  Detail & Related papers  (2025-11-08T15:32:13Z)
• Symmetric observations without symmetric causal explanations [39.11025912171117]
  Inferring causal models from observed correlations is a challenging task, crucial to many areas of science.<n>In order to alleviate the effort, it is important to know whether symmetries in the observations correspond to symmetries in the underlying realization.
  arXiv  Detail & Related papers  (2025-02-20T19:00:00Z)
• Why quantum correlations are shocking [0.0]
  A simple minimalist argument is given for why some correlations between quantum systems boggle our classical intuition. The argument relies on two elementary physical assumptions, and recovers the standard experimentally-testable Bell inequality.
  arXiv  Detail & Related papers  (2024-06-18T20:11:35Z)
• Unambiguous discrimination of sequences of quantum states [14.37149160708975]
  We consider the problem of determining the state of an unknown quantum sequence without error. We calculate the optimum probability by solving the optimality conditions of a semidefinite program.
  arXiv  Detail & Related papers  (2024-02-09T12:18:15Z)
• Correcting for finite statistics effects in a quantum steering experiment [33.013102271622614]
  We introduce a one-sided device-independent protocol that corrects for apparent signaling effects in experimental probability distributions.<n>Our results show a significantly higher probability of violation than existing state-of-the-art inequalities.<n>This work demonstrates the power of semidefinite programming for entanglement verification and brings quantum networks closer to practical applications.
  arXiv  Detail & Related papers  (2023-05-23T14:39:08Z)
• Quantum Discord Witness With Uncharacterized Devices [22.915199593638874]
  We propose a new approach using uncharacterized measurements to witness quantum discord of an unknown bipartite state within arbitrary dimension system.<n>Our method exhibits high robustness against device imperfections, such as error tolerance, indicating its experimental feasibility.
  arXiv  Detail & Related papers  (2023-03-20T14:51:53Z)
• What in fact proves the violation of the Bell-type inequalities? [0.0]
  In a measurement in which some variables are tested, other variables, not tested, have no defined value. It is proved that the correct conclusion of the violation of the CHSH inequality is different.
  arXiv  Detail & Related papers  (2023-03-15T10:36:32Z)
• Bell inequalities with overlapping measurements [52.81011822909395]
  We study Bell inequalities where measurements of different parties can have overlap. This allows to accommodate problems in quantum information. The scenarios considered show an interesting behaviour with respect to Hilbert space dimension, overlap, and symmetry.
  arXiv  Detail & Related papers  (2023-03-03T18:11:05Z)
• Bell-type inequalities for systems of relativistic vector bosons [0.0]
  We analyze the possible violation of various Bell-type inequalities for systems of boson-antiboson pairs. The degree of violation depends on the relative speed of the two particles.
  arXiv  Detail & Related papers  (2022-04-23T12:42:04Z)
• Graph-Theoretic Framework for Self-Testing in Bell Scenarios [37.067444579637076]
  Quantum self-testing is the task of certifying quantum states and measurements using the output statistics solely. We present a new approach for quantum self-testing in Bell non-locality scenarios.
  arXiv  Detail & Related papers  (2021-04-27T08:15:01Z)
• Quantum Bell inequalities from Information Causality -- tight for Macroscopic Locality [0.34771439623170125]
  In a Bell test, the set of observed probability distributions complying with the principle of local realism is fully characterized by Bell inequalities. We present a family of inequalities, which approximate the set of quantum correlations in Bell scenarios where the number of settings or outcomes can be arbitrary.
  arXiv  Detail & Related papers  (2021-03-08T19:36:13Z)
• Is the Moon there if nobody looks: Bell Inequalities and Physical Reality [0.0]
  The violation of various Bell inequalities may neither justify the quantum nonlocality nor allow for doubt regarding the existence of atoms, electrons and other invisible elementary particles.
  arXiv  Detail & Related papers  (2020-04-29T16:49:16Z)

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.