Bounding the amount of entanglement from witness operators

• URL: http://arxiv.org/abs/2312.04897v2
• Date: Fri, 29 Mar 2024 15:53:09 GMT
• Title: Bounding the amount of entanglement from witness operators
• Authors: Liang-Liang Sun, Xiang Zhou, Armin Tavakoli, Zhen-Peng Xu, Sixia Yu,
• Abstract summary: We present an approach to estimate the operational distinguishability between an entangled state and any separable state directly from measuring an entanglement witness. We show that this estimation also implies bounds on a variety of other well-known entanglement quantifiers.
• Score: 2.226837304625373
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present an approach to estimate the operational distinguishability between an entangled state and any separable state directly from measuring an entanglement witness. We show that this estimation also implies bounds on a variety of other well-known entanglement quantifiers. This approach for entanglement estimation is then extended to to both the measurement-device-independent scenario and the fully device-independent scenario, where we obtain non-trivial but sub-optimal bounds. The procedure requires no numerical optimization and is easy to compute. It offers ways for experimenters to not only detect, but also quantify, entanglement from the standard entanglement witness procedure.

Related papers

• Rethinking Distance Metrics for Counterfactual Explainability [53.436414009687]
  We investigate a framing for counterfactual generation methods that considers counterfactuals not as independent draws from a region around the reference, but as jointly sampled with the reference from the underlying data distribution. We derive a distance metric, tailored for counterfactual similarity that can be applied to a broad range of settings.
  arXiv  Detail & Related papers  (2024-10-18T15:06:50Z)
• Sample-efficient estimation of entanglement entropy through supervised learning [0.0]
  We put a particular focus on estimating aleatoric and epistemic uncertainty of the network's estimate. We observe convergence in a regime of sample sizes in which the baseline method fails to give correct estimates. As a further application of our method, highly relevant for quantum simulation experiments, we estimate the quantum mutual information for non-unitary evolution.
  arXiv  Detail & Related papers  (2023-09-14T09:38:14Z)
• Open-Set Likelihood Maximization for Few-Shot Learning [36.97433312193586]
  We tackle the Few-Shot Open-Set Recognition (FSOSR) problem, i.e. classifying instances among a set of classes for which we only have a few labeled samples. We explore the popular transductive setting, which leverages the unlabelled query instances at inference. Motivated by the observation that existing transductive methods perform poorly in open-set scenarios, we propose a generalization of the maximum likelihood principle.
  arXiv  Detail & Related papers  (2023-01-20T01:56:19Z)
• Entanglement detection with imprecise measurements [2.867517731896504]
  We investigate entanglement detection when the local measurements only nearly correspond to those intended. We formalise this through an operational notion of inaccuracy that can be estimated directly in the lab. We show that small magnitudes of inaccuracy can significantly compromise several renowned entanglement witnesses.
  arXiv  Detail & Related papers  (2022-02-26T12:42:33Z)
• 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)
• Versatile fidelity estimation with confidence [1.847214846161316]
  We present a method to construct an estimator for the quantum state fidelity that is compatible with any measurement protocol. Our method can be easily extended to estimate the expectation value of any observable, such as entanglement witnesses.
  arXiv  Detail & Related papers  (2021-12-15T07:12:05Z)
• Sample-efficient device-independent quantum state verification and certification [68.8204255655161]
  Authentication of quantum sources is a crucial task in building reliable and efficient protocols for quantum-information processing. We develop a systematic approach to device-independent verification of quantum states free of IID assumptions in the finite copy regime. We show that device-independent verification can be performed with optimal sample efficiency.
  arXiv  Detail & Related papers  (2021-05-12T17:48:04Z)
• SMT-based Safety Verification of Parameterised Multi-Agent Systems [78.04236259129524]
  We study the verification of parameterised multi-agent systems (MASs) In particular, we study whether unwanted states, characterised as a given state formula, are reachable in a given MAS.
  arXiv  Detail & Related papers  (2020-08-11T15:24:05Z)
• $\gamma$-ABC: Outlier-Robust Approximate Bayesian Computation Based on a Robust Divergence Estimator [95.71091446753414]
  We propose to use a nearest-neighbor-based $gamma$-divergence estimator as a data discrepancy measure. Our method achieves significantly higher robustness than existing discrepancy measures.
  arXiv  Detail & Related papers  (2020-06-13T06:09:27Z)
• Batch Stationary Distribution Estimation [98.18201132095066]
  We consider the problem of approximating the stationary distribution of an ergodic Markov chain given a set of sampled transitions. We propose a consistent estimator that is based on recovering a correction ratio function over the given data.
  arXiv  Detail & Related papers  (2020-03-02T09:10:01Z)
• Witnessing Entanglement in Experiments with Correlated Noise [1.1246250197597698]
  We propose two methods to analyze witness experiments where the states can be subject to arbitrarily correlated noise. The first method is a rejection experiment, in which we certify the creation of entanglement by rejecting the hypothesis that the experiment can only produce separable states. The second method is an estimation experiment, in which we estimate and construct confidence intervals for the average witness value.
  arXiv  Detail & Related papers  (2020-02-27T19:23:08Z)

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.