Complete classification of steerability under local filters and its relation with measurement incompatibility

• URL: http://arxiv.org/abs/2201.07691v2
• Date: Thu, 25 Aug 2022 13:41:16 GMT
• Title: Complete classification of steerability under local filters and its relation with measurement incompatibility
• Authors: Huan-Yu Ku, Chung-Yun Hsieh, Shin-Liang Chen, Yueh-Nan Chen, Costantino Budroni
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum steering is the central resource for one-sided device-independent quantum information. It is manipulated via one-way local operations and classical communication, such as local filtering on the trusted party. Here, we provide a necessary and sufficient condition for a steering assemblage to be transformable into another one via local filtering. We characterize the equivalence classes with respect to filters in terms of the steering equivalent observables measurement assemblage (SEO), first proposed to connect the problem of steerability with measurement incompatibility. We provide an efficient method to compute the maximal extractable steerability via local filters and show that it coincides with the incompatibility of the SEO. Moreover, we show that there always exists a bipartite state that provides an assemblage with steerability equal to the incompatibility of the measurements on the untrusted party. Finally, we investigate the optimal success probability and rates for transformation protocols (distillation and dilution) in the single-shot scenario together with examples.

Related papers

• Quantum steering under constrained free-will [0.9208007322096532]
  Quantum steering is a kind of bipartite quantum correlations where one party's measurement remotely alters the state of another party. In adversarial scenarios, there could be a hidden variable introducing a bias in the choice of measurement settings of the parties. We introduce the measurement-dependent (MD-)steering scenario where the measurement settings chosen by the parties are biased by an adversary.
  arXiv  Detail & Related papers  (2024-06-19T12:29:35Z)
• Witnessing network steerability of every bipartite entangled state without inputs [0.0]
  We consider quantum networks and focus on the swap-steering scenario without inputs. We find linear witnesses of network steerability corresponding to any negative partial transpose (NPT) bipartite state. We construct linear inequalities to witness swap-steerability of every bipartite entangled state.
  arXiv  Detail & Related papers  (2024-06-17T18:08:00Z)
• Optimal Second-Order Rates for Quantum Information Decoupling [14.932939960009605]
  We consider the standard quantum information decoupling, in which Alice aims to decouple her system from the environment by local operations and discarding some of her systems. We find an achievability bound in entanglement distillation protocol, where the objective is for Alice and Bob to transform their quantum state to maximally entangled state with largest possible dimension.
  arXiv  Detail & Related papers  (2024-03-21T12:06:30Z)
• State Estimation and Control for Stochastic Quantum Dynamics with Homodyne Measurement: Stabilizing Qubits under Uncertainty [1.4811951486536687]
  This paper introduces a Lyapunov-based control approach with homodyne measurement. We study two filtering approaches: (i) the traditional quantum filtering and (ii) a modified version of the extended Kalman filtering.
  arXiv  Detail & Related papers  (2024-03-09T22:29:00Z)
• Experimental distillation of tripartite quantum steering with an optimal local filtering operation [1.7842332554022695]
  Multipartite Einstein-Podolsky-Rosen(EPR) steering admits multipartite entanglement in the presence of uncharacterized verifiers. We propose a local filtering operation that can distill genuine tripartite EPR steering from copies of three-qubit generalized Greenberger-Horne-Zeilinger states.
  arXiv  Detail & Related papers  (2023-11-16T13:03:27Z)
• Semi-DETR: Semi-Supervised Object Detection with Detection Transformers [105.45018934087076]
  We analyze the DETR-based framework on semi-supervised object detection (SSOD) We present Semi-DETR, the first transformer-based end-to-end semi-supervised object detector. Our method outperforms all state-of-the-art methods by clear margins.
  arXiv  Detail & Related papers  (2023-07-16T16:32:14Z)
• Robust Control for Dynamical Systems With Non-Gaussian Noise via Formal Abstractions [59.605246463200736]
  We present a novel controller synthesis method that does not rely on any explicit representation of the noise distributions. First, we abstract the continuous control system into a finite-state model that captures noise by probabilistic transitions between discrete states. We use state-of-the-art verification techniques to provide guarantees on the interval Markov decision process and compute a controller for which these guarantees carry over to the original control system.
  arXiv  Detail & Related papers  (2023-01-04T10:40:30Z)
• Actor-Critic based Improper Reinforcement Learning [61.430513757337486]
  We consider an improper reinforcement learning setting where a learner is given $M$ base controllers for an unknown Markov decision process. We propose two algorithms: (1) a Policy Gradient-based approach; and (2) an algorithm that can switch between a simple Actor-Critic scheme and a Natural Actor-Critic scheme.
  arXiv  Detail & Related papers  (2022-07-19T05:55:02Z)
• 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)
• Sampling-Based Robust Control of Autonomous Systems with Non-Gaussian Noise [59.47042225257565]
  We present a novel planning method that does not rely on any explicit representation of the noise distributions. First, we abstract the continuous system into a discrete-state model that captures noise by probabilistic transitions between states. We capture these bounds in the transition probability intervals of a so-called interval Markov decision process (iMDP)
  arXiv  Detail & Related papers  (2021-10-25T06:18:55Z)
• Scope Head for Accurate Localization in Object Detection [135.9979405835606]
  We propose a novel detector coined as ScopeNet, which models anchors of each location as a mutually dependent relationship. With our concise and effective design, the proposed ScopeNet achieves state-of-the-art results on COCO.
  arXiv  Detail & Related papers  (2020-05-11T04:00:09Z)

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.