Translating Bell Non-Locality to Prepare-and-Measure Scenarios under Dimensional Constraints

• URL: http://arxiv.org/abs/2506.22282v1
• Date: Fri, 27 Jun 2025 14:53:19 GMT
• Title: Translating Bell Non-Locality to Prepare-and-Measure Scenarios under Dimensional Constraints
• Abstract summary: We propose a systematic way to translate bipartite Bell inequalities into dimensionally-bounded prepare-and-measure tasks.<n>We identify sufficient conditions under which the translation preserves the quantum bound and self-testing properties.<n>Our results unify different quantum correlation frameworks, and contribute to the ongoing research effort of studying the interplay between parallel and sequential protocols.
• Score: 1.2499537119440245
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Understanding the connections between different quantum information protocols has been proven fruitful for both theoretical insights and experimental applications. In this work, we explore the relationship between non-local and prepare-and-measure scenarios, proposing a systematic way to translate bipartite Bell inequalities into dimensionally-bounded prepare-and-measure tasks. We identify sufficient conditions under which the translation preserves the quantum bound and self-testing properties, enabling a wide range of certification protocols originally developed for the non-local setting to be adapted to the sequential framework of prepare-and-measure with a dimensional bound. While the dimensionality bound is not device-independent, it still is a practical and experimentally reasonable assumption in many cases of interest. In some instances, we find new experimentally-friendly certification protocols. In others, we demonstrate equivalences with already known prepare-and-measure protocols, where self-testing results were previously established using alternative mathematical methods. Our results unify different quantum correlation frameworks, and contribute to the ongoing research effort of studying the interplay between parallel and sequential protocols.

Related papers

• A Technical Taxonomy of LLM Agent Communication Protocols [60.76747983053368]
  This study develops a technical taxonomy to classify and analyze large language models (LLMs) agent communication protocols.<n>The framework guides protocol selection and highlights open research gaps such as privacy and policy enforcement.
  arXiv  Detail & Related papers  (2026-06-17T14:45:20Z)
• Self-testing in a constrained prepare-measure scenario sans assuming quantum dimension [0.0]
  We present a device-independent (DI) self-testing protocol in a constrained prepare-measure scenario.<n>We derive the optimal quantum success probability in the POM task devoid of assuming the dimension of the quantum system.
  arXiv  Detail & Related papers  (2025-05-26T06:55:02Z)
• Prediction-Powered Causal Inferences [59.98498488132307]
  We focus on Prediction-Powered Causal Inferences (PPCI)<n>We first show that conditional calibration guarantees valid PPCI at population level.<n>We then introduce a sufficient representation constraint transferring validity across experiments.
  arXiv  Detail & Related papers  (2025-02-10T10:52:17Z)
• Sequential information theoretic protocols in continuous variable systems [0.0]
  We propose two schemes for the sequential implementation of quantum information theoretic protocols in the continuous variable framework.<n>We demonstrate the advantage offered by the first scheme in implementing sequential attempts at continuous variable teleportation when the protocol fails in the previous round.<n>Under specific conditions, our calculations show that it is possible to successfully witness the entanglement of the same two-mode state, sequentially by as many as five observers.
  arXiv  Detail & Related papers  (2024-10-19T08:23:16Z)
• Secure and robust randomness with sequential quantum measurements [0.0]
  We prove a Tsirelson-like boundary for sequential quantum correlations, which represents a trade-off in nonlocality shared by sequential users.<n>Our simple qubit protocol reaches this boundary, and numerical analysis shows improved robustness under realistic noise.<n>This study advances understanding of sequential quantum correlations and offers insights for efficient device-independent protocols.
  arXiv  Detail & Related papers  (2023-09-21T17:50:29Z)
• Certification of two-qubit quantum systems with temporal inequality [0.0]
  Self-testing of quantum devices based on observed measurement statistics is a method to certify quantum systems using minimal resources. We propose a self-testing protocol to certify the above two-qubit states and measurements without the assumption of compatibility conditions. Our protocol is based on the observation of sequential correlations leading to the maximal violation of a temporal inequality derived from non-contextuality inequality.
  arXiv  Detail & Related papers  (2023-07-13T12:07:55Z)
• Conformal Prediction for Federated Uncertainty Quantification Under Label Shift [57.54977668978613]
  Federated Learning (FL) is a machine learning framework where many clients collaboratively train models. We develop a new conformal prediction method based on quantile regression and take into account privacy constraints.
  arXiv  Detail & Related papers  (2023-06-08T11:54:58Z)
• Networked Communication for Decentralised Agents in Mean-Field Games [59.01527054553122]
  We introduce networked communication to the mean-field game framework.<n>We prove that our architecture has sample guarantees bounded between those of the centralised- and independent-learning cases.<n>We show that our networked approach has significant advantages over both alternatives in terms of robustness to update failures and to changes in population size.
  arXiv  Detail & Related papers  (2023-06-05T10:45:39Z)
• 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)
• High-dimensional entanglement certification: bounding relative entropy of entanglement in $2d+1$ experiment-friendly measurements [77.34726150561087]
  Entanglement -- the coherent correlations between parties in a quantum system -- is well-understood and quantifiable. Despite the utility of such systems, methods for quantifying high-dimensional entanglement are more limited and experimentally challenging. We present a novel certification method whose measurement requirements scale linearly with dimension subsystem.
  arXiv  Detail & Related papers  (2022-10-19T16:52:21Z)
• Certifying Temporal Correlations [0.5735035463793009]
  We build upon previous works which used semi-definite programming (SDP) based methods to bound sequential measurement inequalities. We consider a generalised scenario in presence of quantum channels and draw analogies in the structure of Bell and sequential inequalities. These analogies allow us to show a practical use of maximal violations of sequential inequalities in the form of certification of quantum channels up to isometries.
  arXiv  Detail & Related papers  (2022-06-13T12:27:05Z)
• Experimentally determining the incompatibility of two qubit measurements [55.41644538483948]
  We describe and realize an experimental procedure for assessing the incompatibility of two qubit measurements. We demonstrate this fact in an optical setup, where the qubit states are encoded into the photons' polarization degrees of freedom.
  arXiv  Detail & Related papers  (2021-12-15T19:01:44Z)
• Self-testing of binary Pauli measurements requiring neither entanglement nor any dimensional restriction [0.0]
  We propose a self-testing protocol for certifying binary Pauli measurements employing the violation of a Leggett-Garg inequality. Unlike previously proposed self-testing protocols in the prepare and measure scenario, our approach requires neither dimensional restrictions, nor other stringent assumptions on the type of measurements.
  arXiv  Detail & Related papers  (2020-12-14T14:38:42Z)
• On the optimal certification of von Neumann measurements [55.41644538483948]
  certification of quantum measurements can be viewed as the extension of quantum hypotheses testing. We show the connection between the certification of quantum channels or von Neumann measurements and the notion of $q$-numerical range.
  arXiv  Detail & Related papers  (2020-09-14T22:38:23Z)
• A universal scheme for robust self-testing in the prepare-and-measure scenario [0.0]
  We consider the problem of certification of arbitrary ensembles of pure states and projective measurements. We propose a universal and intuitive scheme based on establishing perfect correlations between target states and suitably-chosen projective measurements.
  arXiv  Detail & Related papers  (2020-03-02T17:06:06Z)
• Direct estimation of quantum coherence by collective measurements [54.97898890263183]
  We introduce a collective measurement scheme for estimating the amount of coherence in quantum states. Our scheme outperforms other estimation methods based on tomography or adaptive measurements. We show that our method is accessible with today's technology by implementing it experimentally with photons.
  arXiv  Detail & Related papers  (2020-01-06T03:50:42Z)

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.