Entanglement in the energy-constrained prepare-and-measure scenario: applications to randomness certification and channel discrimination

• URL: http://arxiv.org/abs/2510.27559v1
• Date: Fri, 31 Oct 2025 15:42:45 GMT
• Title: Entanglement in the energy-constrained prepare-and-measure scenario: applications to randomness certification and channel discrimination
• Authors: Raffaele D'Avino, Gabriel Senno, Mir Alimuddin, Antonio Acín,
• Abstract summary: We study the energy-constrained SDI scenario, where the only assumption in a prepare-and-measure setup is an upper bound on the energy of the prepared quantum states.<n>We show that allowing entanglement strictly enlarges the set of achievable correlations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum information tasks are often analyzed under varying trust assumptions about the devices involved. The semi-device-independent (SDI) framework offers a balance between needed assumptions and experimental feasibility. In this work, we study the energy-constrained SDI scenario, where the only assumption in a prepare-and-measure setup is an upper bound on the energy of the prepared quantum states. In contrast to previous studies that restricted the preparation and measurement devices to be classically correlated, we show that allowing entanglement strictly enlarges the set of achievable correlations. We identify two operational consequences of this result. The first concerns randomness certification, where we show that allowing the adversary to employ entangled strategies may significantly reduce the amount of certifiable randomness. This includes situations where the amount of randomness drops to zero in the presence of entanglement, while it remains positive when entanglement is excluded. Second, for the task of distinguishing an arbitrary quantum channel from the identity, we show that the known dimension-independent bound on the advantage conferred by entanglement is violated under an energy constraint.

Related papers

• Certified randomness from quantum speed limits [0.0]
  We show that speed limits enable the secure generation of randomness.<n>We show how to determine the amount of certified randomness given the observed correlations.<n>Remarkably, even single-mode coherent states admit this kind of certification of non-zero randomness.
  arXiv  Detail & Related papers  (2025-06-17T13:52:22Z)
• Measurement-Incompatibility Constraints for Maximal Randomness [5.560127372386599]
  Certifying maximal quantum randomness without assumptions about system dimension remains a pivotal challenge for secure communication and foundational studies.<n>Here, we introduce a generalized framework to directly certify maximal randomness from observed probability distributions across systems with arbitrary user numbers.<n>Our results establish a versatile and experimentally accessible route to scalable randomness certification, with implications for quantum cryptography and the physics of nonlocal correlations.
  arXiv  Detail & Related papers  (2025-05-23T07:45:11Z)
• SConU: Selective Conformal Uncertainty in Large Language Models [59.25881667640868]
  We propose a novel approach termed Selective Conformal Uncertainty (SConU)<n>We develop two conformal p-values that are instrumental in determining whether a given sample deviates from the uncertainty distribution of the calibration set at a specific manageable risk level.<n>Our approach not only facilitates rigorous management of miscoverage rates across both single-domain and interdisciplinary contexts, but also enhances the efficiency of predictions.
  arXiv  Detail & Related papers  (2025-04-19T03:01:45Z)
• Device-independent secure correlations in sequential quantum scenarios [44.99833362998488]
  Device-independent quantum information is attracting significant attention, particularly for its applications in information security.<n>We propose a systematic approach to designing sequential quantum protocols for device-independent security.<n>We analytically prove that, with this systematic construction, the resulting ideal correlations are secure in the sense that they cannot be reproduced as a statistical mixture of other correlations.
  arXiv  Detail & Related papers  (2025-03-18T16:45:20Z)
• To Believe or Not to Believe Your LLM [51.2579827761899]
  We explore uncertainty quantification in large language models (LLMs) We derive an information-theoretic metric that allows to reliably detect when only epistemic uncertainty is large. We conduct a series of experiments which demonstrate the advantage of our formulation.
  arXiv  Detail & Related papers  (2024-06-04T17:58:18Z)
• Score Matching-based Pseudolikelihood Estimation of Neural Marked Spatio-Temporal Point Process with Uncertainty Quantification [59.81904428056924]
  We introduce SMASH: a Score MAtching estimator for learning markedPs with uncertainty quantification. Specifically, our framework adopts a normalization-free objective by estimating the pseudolikelihood of markedPs through score-matching. The superior performance of our proposed framework is demonstrated through extensive experiments in both event prediction and uncertainty quantification.
  arXiv  Detail & Related papers  (2023-10-25T02:37:51Z)
• Quantum Conformal Prediction for Reliable Uncertainty Quantification in Quantum Machine Learning [47.991114317813555]
  Quantum models implement implicit probabilistic predictors that produce multiple random decisions for each input through measurement shots. This paper proposes to leverage such randomness to define prediction sets for both classification and regression that provably capture the uncertainty of the model.
  arXiv  Detail & Related papers  (2023-04-06T22:05:21Z)
• Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario [0.0]
  We present an experimental realization of recent Bell-type operators designed to provide private random numbers that are secure against adversaries with quantum resources. We use semi-definite programming to provide lower bounds on the generated randomness in terms of both min-entropy and von Neumann entropy. Our results demonstrate the first experiment that certifies close to two bits of randomness from binary measurements of two parties.
  arXiv  Detail & Related papers  (2023-03-13T20:42:53Z)
• Optimal Adaptive Strategies for Sequential Quantum Hypothesis Testing [87.17253904965372]
  We consider sequential hypothesis testing between two quantum states using adaptive and non-adaptive strategies. We show that these errors decrease exponentially with decay rates given by the measured relative entropies between the two states.
  arXiv  Detail & Related papers  (2021-04-30T00:52:48Z)
• Semi-device-independent framework based on restricted distrust in prepare-and-measure experiments [0.0]
  A semi-device-independent framework for prepare-and-measure experiments is introduced. An experimenter can tune the degree of distrust in the performance of the quantum devices.
  arXiv  Detail & Related papers  (2021-01-19T19:23:16Z)
• Certified Randomness From Steering Using Sequential Measurements [0.0]
  A single entangled two-qubit pure state can be used to produce arbitrary amounts of certified randomness. Motivated by these difficulties in the device-independent setting, we consider the scenario of one-sided device independence. We show how certain aspects of previous work can be adapted to this scenario and provide theoretical bounds on the amount of randomness which can be certified.
  arXiv  Detail & Related papers  (2020-08-03T08:18:29Z)

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.