Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems
arXiv:1808.01198 · doi:10.3390/e20100763
Abstract
The effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not remains a difficult task. Here, we investigate the applicability of a recently proposed method for building steering criteria from generalized entropic uncertainty relations. This method works for any entropy which satisfy the properties of (i) (pseudo-) additivity for independent distributions; (ii) state independent entropic uncertainty relation (EUR); and (iii) joint convexity of a corresponding relative entropy. Our study extends the former analysis to Tsallis and Rényi entropies on bipartite and tripartite systems. As examples, we investigate the steerability of the three-qubit GHZ and W states.
arXiv comment27 pages, 8 figures. Published version. Title changed
References in corpus (57)
- Rényi Divergence and Kullback-Leibler Divergence
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- The Uncertainty Principle in the Presence of Quantum Memory
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- On mutually unbiased bases
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Quantum steering: a review with focus on semidefinite programming
- Quantifying Einstein-Podolsky-Rosen steering
- EPR Steering Inequalities from Entropic Uncertainty Relations
- Classification of multi-qubit mixed states: separability and distillability properties
- Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
- Genuine multipartite Einstein-Podolsky-Rosen steering
- Joint measurability of generalized measurements implies classicality
- Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
- Entropic uncertainty relations and entanglement
- Generating random density matrices
- Quantum Steering Ellipsoids
- Quantification of Einstein-Podolski-Rosen steering for two-qubit states
- Fundamental properties of Tsallis relative entropy
- One-to-one mapping between steering and joint measurability problems
- Negativity and steering: a stronger Peres conjecture
- Disproving the Peres conjecture: Bell nonlocality from bipartite bound entanglement
- Quantum randomness extraction for various levels of characterization of the devices
- Entropic uncertainty relation for mutually unbiased bases
- Unified criteria for multipartite quantum nonlocality
- Sufficient criterion for guaranteeing that a two-qubit state is unsteerable
- Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems
- Information theoretical properties of Tsallis entropies
- Mubs and Hadamards of Order Six
- Demonstration of MultiSetting One-Way Einstein-Podolsky-Rosen Steering in Two-Qubit Systems
- Steering bound entangled states: A counterexample to the stronger Peres conjecture
- Uncertainty relations for MUBs and SIC-POVMs in terms of generalized entropies
- Analog of the Clauser-Horne-Shimony-Holt inequality for steering
- Quantifying measurement incompatibility of mutually unbiased bases
- Steering criteria from general entropic uncertainty relations
- General method for constructing local-hidden-variable models for entangled quantum states
- Algorithmic construction of local hidden variable models for entangled quantum states
- Entanglement, EPR steering, and Bell-nonlocality criteria for multipartite higher-spin systems
- Necessary and sufficient condition for steerability of two-qubit states by the geometry of steering outcomes
- Robustness of incompatibility for quantum devices
- Tight steering inequalities from generalized entropic uncertainty relations
- Continuous variable steering and incompatibility via state-channel duality
- Estimating entanglement monotones with a generalization of the Wootters formula
- Most incompatible measurements for robust steering tests
- Quantifying high-dimensional entanglement with Einstein-Podolsky-Rosen correlations
- Loss-tolerant EPR steering for arbitrary dimensional states: joint measurability and unbounded violations under losses
- Explicit product ensembles for separable quantum states
- Adaptive strategy for joint measurements
- Steering maps and their application to dimension-bounded steering
- Super-Activation of Quantum Steering
- Multipartite steering inequalities based on entropic uncertainty relations
- Non-classicality thresholds for multiqubit states - numerical analysis
- Measurement uncertainty relations for discrete observables: Relative entropy formulation
- Unified picture for spatial, temporal and channel steering
- A family of nonlocal bound entangled states
- Algorithmic construction of local models for entangled quantum states: optimization for two-qubit states
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- Uncertainty relations for quantum measurements from generalized equiangular tight frames
- Detection of Network and Genuine Network Quantum Steering
- Detecting the genuine multipartite two-way steerability with linear steering inequalities
- Quantum conditional entropies and steerability of states with maximally mixed marginals
- Detecting Tripartite Steering via Quantum Entanglement
- Analysis of Quantum Steering Measures
- Entanglement of Local Hidden States
- Role of maximally entangled states in the context of linear steering inequalities
- Tight bounds from multiple-observable entropic uncertainty relations
- Diagnosing steerability of a bipartite state with the nonsteering threshold
- Averaged fidelity-based steering criteria
- Fidelity of entanglement and quantum entropies: unveiling their relationship in quantum states and channels
- On fully entangled fraction and quantum conditional entropies for states with maximally mixed marginals