Characterisation and fundamental limitations of irreversible stochastic steering distillation

• URL: http://arxiv.org/abs/2309.06191v1
• Date: Tue, 12 Sep 2023 12:57:06 GMT
• Title: Characterisation and fundamental limitations of irreversible stochastic steering distillation
• Authors: Chung-Yun Hsieh, Huan-Yu Ku, Costantino Budroni
• Abstract summary: Steering resources, central for quantum advantages in one-sided device-independent quantum tasks, can be enhanced via local filters. Recently, steering conversion under local filters has been fully characterised. Here, we solve the problem in the irreversible scenario, which leads to a complete understanding of steering distillation. This result also provides an operational interpretation of the max-relative entropy as the filter optimal success probability.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Steering resources, central for quantum advantages in one-sided device-independent quantum information tasks, can be enhanced via local filters. Recently, reversible steering conversion under local filters has been fully characterised. Here, we solve the problem in the irreversible scenario, which leads to a complete understanding of stochastic steering distillation. This result also provides an operational interpretation of the max-relative entropy as the optimal filter success probability. We further show that all steering measures can be used to quantify measurement incompatibility in certain stochastic steering distillation scenarios. Finally, for a broad class of steering robustness measures, we show that their maximally achievable values in stochastic steering distillation are always upper bounded by different types of incompatibility robustness measures. Hence, measurement incompatibility sets the fundamental limitations for stochastic steering distillation.

Related papers

• Imprecision plateaus in quantum steering [0.0]
  We report on steering inequalities that remain unaffacted when introducing up to a threshold magnitude of measurement imprecision. We provide an explanation for why imprecision plateaus are possible, a simple criterion for their existence and tools for analysing their properties.
  arXiv  Detail & Related papers  (2024-08-22T10:26:23Z)
• Regulating Model Reliance on Non-Robust Features by Smoothing Input Marginal Density [93.32594873253534]
  Trustworthy machine learning requires meticulous regulation of model reliance on non-robust features. We propose a framework to delineate and regulate such features by attributing model predictions to the input.
  arXiv  Detail & Related papers  (2024-07-05T09:16:56Z)
• Theory of free fermions dynamics under partial post-selected monitoring [49.1574468325115]
  We derive a partial post-selected Schrdinger"o equation based on a microscopic description of continuous weak measurement. We show that the passage to the monitored universality occurs abruptly at finite partial post-selection. Our approach establishes a way to study MiPTs for arbitrary subsets of quantum trajectories.
  arXiv  Detail & Related papers  (2023-12-21T16:53:42Z)
• Quantum steering with imprecise measurements [0.0]
  We show that small measurement imprecision can have a large detrimental influence in terms of false positives for steering inequalities. We then introduce a method for taking generic measurement imprecision into account in tests of bipartite steering inequalities.
  arXiv  Detail & Related papers  (2023-08-29T14:52:40Z)
• Measurement incompatibility cannot be stochastically distilled [0.0]
  We show that the incompatibility of a set of measurements cannot be increased by subjecting them to a filter. We are able to solve the problem of the steerability obtained with respect to the most general local filters.
  arXiv  Detail & Related papers  (2023-08-04T11:18:39Z)
• Control landscape of measurement-assisted transition probability for a three-level quantum system with dynamical symmetry [77.34726150561087]
  Quantum systems with dynamical symmetries have conserved quantities which are preserved under coherent controls. Incoherent control can increase the maximal attainable transition probability. We show that all critical points are global maxima, global minima, saddle points and second order traps.
  arXiv  Detail & Related papers  (2023-07-14T16:12:21Z)
• Model-Based Uncertainty in Value Functions [89.31922008981735]
  We focus on characterizing the variance over values induced by a distribution over MDPs. Previous work upper bounds the posterior variance over values by solving a so-called uncertainty Bellman equation. We propose a new uncertainty Bellman equation whose solution converges to the true posterior variance over values.
  arXiv  Detail & Related papers  (2023-02-24T09:18:27Z)
• Decoding probabilistic syndrome measurement and the role of entropy [0.0]
  We study the performance of the toric code under a model of probabilistic stabiliser measurement. We find that, even under a completely continuous model of syndrome extraction, the threshold can be maintained at reasonably high values of $1.69%$ by suitably modifying the decoder.
  arXiv  Detail & Related papers  (2023-02-22T20:12:48Z)
• Complete classification of steerability under local filters and its relation with measurement incompatibility [0.0]
  We provide a necessary and sufficient condition for a steering assemblage to be transformable into another one via local filtering. We show that there always exists a bipartite state that provides an assemblage with steerability equal to the incompatibility of the measurements on the trusted party.
  arXiv  Detail & Related papers  (2022-01-19T16:22:01Z)
• Localization Uncertainty Estimation for Anchor-Free Object Detection [48.931731695431374]
  There are several limitations of the existing uncertainty estimation methods for anchor-based object detection. We propose a new localization uncertainty estimation method called UAD for anchor-free object detection. Our method captures the uncertainty in four directions of box offsets that are homogeneous, so that it can tell which direction is uncertain.
  arXiv  Detail & Related papers  (2020-06-28T13:49:30Z)
• Finite Block Length Analysis on Quantum Coherence Distillation and Incoherent Randomness Extraction [64.04327674866464]
  We introduce a variant of randomness extraction framework where free incoherent operations are allowed before the incoherent measurement. We show that the maximum number of random bits extractable from a given quantum state is precisely equal to the maximum number of coherent bits that can be distilled from the same state. Remarkably, the incoherent operation classes all admit the same second order expansions.
  arXiv  Detail & Related papers  (2020-02-27T09:48:52Z)

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.