Steering bound entangled states: A counterexample to the stronger Peres conjecture

Abstract

Quantum correlations are at the heart of many applications in quantum information science and, at the same time, they form the basis for discussions about genuine quantum effects and their difference to classical physics. On one hand, entanglement theory provides the tools to quantify correlations in information processing and many results have been obtained to discriminate useful entanglement, which can be distilled to a pure form, from bound entanglement, being of limited use in many applications. On the other hand, for discriminating quantum phenomena from their classical counterparts, Schrödinger and Bell introduced the notions of steering and local hidden variable models. We provide a method to generate systematically bound entangled quantum states which can still be used for steering and therefore to rule out local hidden state models. This sheds light on the relations between the various views on quantum correlations and disproves a widespread conjecture known as the stronger Peres conjecture. For practical applications, it implies that even the weakest form of entanglement can be certified in a semi-device independent way.

arXiv comment6 pages, 2 figures

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Cited by in corpus (63)

• Quantum Steering
• 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
• Quantification of Gaussian quantum steering
• Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
• Joint measurability of generalized measurements implies classicality
• Entanglement witnesses: construction, analysis and classification
• One-to-one mapping between steering and joint measurability problems
• Disproving the Peres conjecture: Bell nonlocality from bipartite bound entanglement
• Incompatible measurements in quantum information science
• Steering criteria from general entropic uncertainty relations
• Algorithmic construction of local hidden variable models for entangled quantum states
• Continuous variable steering and incompatibility via state-channel duality
• Geometry of two-qubit states with negative conditional entropy
• Bound entanglement from randomized measurements
• Most incompatible measurements for robust steering tests
• Quantum steering of multimode Gaussian states by Gaussian measurements: monogamy relations and the Peres conjecture
• Steering maps and their application to dimension-bounded steering
• Super-Activation of Quantum Steering
• Family of bound entangled states on the boundary of Peres set
• Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems
• Measurement incompatibility and Schrödinger-EPR steering in a class of probabilistic theories
• Detecting Einstein-Podolsky-Rosen steering through entanglement detection
• Einstein-Podolsky-Rosen Steering and Quantum Steering Ellipsoids: Optimal Two-Qubit States and Projective Measurements
• Unified picture for spatial, temporal and channel steering
• Digital Discovery of 100 diverse Quantum Experiments with PyTheus
• Distinguishability classes, resource sharing, and bound entanglement distribution
• A family of nonlocal bound entangled states
• Bound entangled states fit for robust experimental verification
• Construction of noisy bound entangled states and the range criterion
• Some quantum measurements with three outcomes can reveal nonclassicality where all two-outcome measurements fail to do so
• A simple class of bound entangled states based on the properties of the antisymmetric subspace
• EPR Steering inequalities with Communication Assistance
• Algorithmic construction of local models for entangled quantum states: optimization for two-qubit states
• Entanglement and Nonlocality in Diagonal Symmetric States of $N$-qubits
• How many mutually unbiased bases are needed to detect bound entangled states?
• Distillation of genuine tripartite Einstein-Podolsky-Rosen steering
• Quantum measurement incompatibility in subspaces
• Unextendible product bases, bound entangled states, and the range criterion
• Reducing Computational Complexity of Quantum Correlations
• Constructive Interference Between Disordered Couplings Enhances Multiparty Entanglement in Quantum Heisenberg Spin Glass Models
• Quantitative bound entanglement in two-qutrit states
• Family of Bell inequalities violated by higher-dimensional bound entangled states
• A class of genuinely high-dimensionally entangled states with a positive partial transpose
• Preparation of bipartite bound entangled Gaussian states in quantum optics
• Introduction to quantum entanglement in many-body systems
• Quantum cloning of steering
• Detecting EPR steering via two classes of local measurements
• Internal Boundary between Entanglement and Separability Within a Quantum State
• Characterizing generalized axisymmetric quantum states in $d\times d$ systems
• Detecting the genuine multipartite two-way steerability with linear steering inequalities
• Locality of three-qubit Greenberger-Horne-Zeilinger-symmetric states
• Investigating bound entangled two-qutrit states via the best separable approximation
• Demonstration of monogamy laws for Gaussian steering in optomechanics
• Averaged fidelity-based steering criteria
• The Schmidt number of a quantum state cannot always be device-independently certified
• Diagnosing steerability of a bipartite state with the nonsteering threshold
• Bound entanglement-assisted prepare-and-measure scenarios based on four-dimensional quantum messages
• Operator space approach to steering inequality
• Upper bounds on device-independent quantum key distribution rates and a revised Peres conjecture
• Protection of quantum steering ellipsoids in non-Markovian environments
• Unlimited quantum correlation advantage from bound entanglement
• Certifying the activation of Bell nonlocality with finite data