One-way Einstein-Podolsky-Rosen Steering

Abstract

Einstein-Podolsky-Rosen steering is a form of quantum nonlocality exhibiting an inherent asymmetry between the observers, Alice and Bob. We present a simple class of entangled two-qubit states which are one-way steerable, considering arbitrary projective measurements. That is, Alice can steer the state of Bob, but it is impossible for Bob to steer Alice's state. This shows that the nonlocal properties of entangled states can be fundamentally asymmetrical.

Supplementary material updated. Typo in equation 20 corrected (noticed by Jing-Ling Chen)

References in corpus (5)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Observation of one-way Einstein-Podolsky-Rosen steering
• Noise robustness of the nonlocality of entangled quantum states
• EPR entanglement strategies in two-well BEC

Cited by in corpus (145)

• 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
• Secure continuous variable quantum teleportation and Einstein-Podolsky-Rosen steering
• Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
• Observation of genuine one-way Einstein-Podolsky-Rosen steering
• Joint measurability of generalized measurements implies classicality
• Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
• Experimental quantification of asymmetric Einstein-Podolsky-Rosen steering
• Quantification of Einstein-Podolski-Rosen steering for two-qubit states
• Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications
• The resource theory of steering
• Demonstration of monogamy relations for Einstein-Podolsky-Rosen steering in Gaussian cluster states
• Classifying directional Gaussian quantum entanglement, EPR steering and discord
• Sufficient criterion for guaranteeing that a two-qubit state is unsteerable
• Demonstration of MultiSetting One-Way Einstein-Podolsky-Rosen Steering in Two-Qubit Systems
• Einstein-Podolsky-Rosen steering and the steering ellipsoid
• Analog of the Clauser-Horne-Shimony-Holt inequality for steering
• Local hidden--variable models for entangled quantum states
• Experimental device-independent verification of quantum steering
• Conclusive experimental demonstration of one-way Einstein-Podolsky-Rosen steering
• Better local hidden variable models for two-qubit Werner states and an upper bound on the Grothendieck constant $K_G(3)$
• Tutorial: Nonlinear magnonics
• Demonstration of Einstein-Podolsky-Rosen Steering with Enhanced Subchannel Discrimination
• Algorithmic construction of local hidden variable models for entangled quantum states
• Exploration quantum steering, nonlocality and entanglement of two-qubit X-state in structured reservoirs
• Genuinely multipartite entangled quantum states with fully local hidden variable models and hidden multipartite nonlocality
• Geometric Bell-like inequalities for steering
• Demonstration of Einstein-Podolsky-Rosen Steering Using Hybrid Continuous- and Discrete-Variable Entanglement of Light
• Steady-state one-way Einstein-Podolsky-Rosen steering in optomechanical interfaces
• Universal steering inequalities
• Decoherence of Einstein-Podolsky-Rosen steering
• Manipulating the direction of Einstein-Podolsky-Rosen steering
• Network Quantum Steering
• Gaussian quantum steering and its asymmetry in curved spacetime
• Steering Bell-diagonal states
• Entanglement without hidden nonlocality
• Certifying single-system steering for quantum information processing
• Optimal Measurements for Tests of EPR-Steering with No Detection Loophole using Two-Qubit Werner States
• Most incompatible measurements for robust steering tests
• Experimental demonstration of measurement-device-independent measure of quantum steering
• Manipulation and enhancement of asymmetric steering via interference effects induced by closed-loop coupling
• All two-qubit states that are steerable via Clauser-Horne-Shimony-Holt-type correlations are Bell nonlocal
• Complete classification of steerability under local filters and its relation with measurement incompatibility
• Quantum steerability: characterization, quantification, superactivation and unbounded amplification
• The geometry of the Einstein--Podolsky--Rosen correlations
• Steering maps and their application to dimension-bounded steering
• Quantum steering of multimode Gaussian states by Gaussian measurements: monogamy relations and the Peres conjecture
• Super-Activation of Quantum Steering
• Versatile Multipartite Einstein-Podolsky-Rosen Steering via a Quantum Frequency Comb
• Controlled asymmetry of EPR steering with an injected non-degenerate optical parametric oscillator
• Controlling Stationary One-Way Steering via Thermal Effects in Optomechanics
• Measurement incompatibility and Schrödinger-EPR steering in a class of probabilistic theories
• The influence of Unruh effect on quantum steering for accelerated two-level detectors with different measurements
• Detecting Einstein-Podolsky-Rosen steering through entanglement detection
• Local hidden variable models for entangled quantum states using finite shared randomness
• Einstein-Podolsky-Rosen Steering and Quantum Steering Ellipsoids: Optimal Two-Qubit States and Projective Measurements
• Demonstrating shareability of multipartite Einstein-Podolsky-Rosen steering
• Role of thermal noise in tripartite quantum steering
• Quantum steering of Gaussian states via non-Gaussian measurements
• Experimental nonlocal steering of Bohmian trajectories
• Multipartite Einstein-Podolsky-Rosen steering sharing with separable states
• Steering Criteria via Covariance Matrices of Local Observables in Arbitrary Dimensional Quantum Systems
• Quantum correlations across two octaves from combined up and down conversion
• Swapping of Gaussian Einstein-Podolsky-Rosen steering
• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state
• Einstein-Podolsky-Rosen correlations and Bell correlations in the simplest scenario
• Reliable experimental certification of one-way Einstein-Podolsky-Rosen steering
• Satellite-based quantum steering under the influence of spacetime curvature of the Earth
• Exact Steering Bound for Two-Qubit Werner States
• Algorithmic construction of local models for entangled quantum states: optimization for two-qubit states
• Cost of Einstein-Podolsky-Rosen steering in the context of extremal boxes
• EPR Steering inequalities with Communication Assistance
• Dynamical Gaussian quantum steering in optomechanics
• Einstein-Podolsky-Rosen steering based on semi-supervised machine learning
• Monogamy of Einstein-Podolsky-Rosen steering in the background of an asymptotically flat black hole
• Dynamics and recovery of genuine multipartite Einstein-Podolsky-Rosen steering and genuine multipartite nonlocality for a dissipative Dirac system via Unruh effect
• Geometric Steering Criterion for Two-qubit States
• Necessary Condition for Steerability of Arbitrary Two-Qubit States with Loss
• Absolute Non-Violation of a Three-Setting Steering Inequality by Two-Qubit States
• Compatibility of Generalized Noisy Qubit Measurements
• Experimental observation the Einstein-Podolsky-Rosen Steering based on the detection of entanglement
• Unlimited One-Way Steering
• Hierarchy of Genuine Multipartite Quantum Correlations
• Efficient Scheme for Perfect Collective Einstein-Podolsky-Rosen Steering
• Quantification of quantum steering in a Gaussian Greenberger-Horne-Zeilinger state
• Einstein-Podolsky-Rosen Steering Criterion and Monogamy Relation via Correlation Matrices in Tripartite Systems
• Quantum steering for continuous variable in de Sitter space
• One-way Einstein-Podolsky-Rosen steering beyond qubits
• Einstein-Podolsky-Rosen steering, depth of steering and planar spin squeezing in two-mode Bose-Einstein condensates
• Operational characterization of quantumness of unsteerable bipartite states
• Unidirectional Gaussian One-Way Steering
• Experimental verification of multidimensional quantum steering
• Recovering the lost steerability of quantum states within non-Markovian environments by utilizing quantum partially collapsing measurements
• Certification of qubits in the prepare-and-measure scenario with large input alphabet and connections with the Grothendieck constant
• Optimal quantum violation of Clauser-Horne-Shimony-Holt like steering inequality
• Unveiling quantum steering by quantum-classical uncertainty complementarity
• Equivalence between simulability of high-dimensional measurements and high-dimensional steering
• Necessary conditions for steerability of two qubits, from consideration of local operations
• Quantum temporal steering in a dephasing channel with quantum criticality
• Local-hidden-state models for Bell diagonal states and beyond
• Interplays between classical and quantum entanglement-assisted communication scenarios
• Detecting EPR steering via two classes of local measurements
• Geometric Local Hidden State Model for Some Two-qubit States
• Sharing EPR steering between sequential pairs of observers
• Detecting Tripartite Steering via Quantum Entanglement
• Characterization of the quantumness of unsteerable tripartite correlations
• Role of maximally entangled states in the context of linear steering inequalities
• Quantum steering as a probe of energy transfer in quantum batteries
• Asymmetric One-Sided Semi-Device-Independent Steerability of Quantum Discordant States
• Analysis of Quantum Steering Measures
• Demonstration of monogamy laws for Gaussian steering in optomechanics
• Recovering quantum entanglement after its certification
• Quantum behaviour of open pumped and damped Bose-Hubbard trimers
• Diagnosing steerability of a bipartite state with the nonsteering threshold
• Chaos in quantum steering in high-dimensional systems
• Einstein-Podolsky-Rosen steering paradox "2=1'' for $N$ qubits
• Several Trade off Features of Quantum Steering in Distributed Scenario
• Quantifying Quantum Steering with Limited Resources: A Semi-supervised Machine Learning Approach
• Identifying Quantum Correlations Using Explicit SO(3) to SU(2) Maps
• Estimating the privacy of quantum-random numbers
• Averaged fidelity-based steering criteria
• Revealing the quantitative relation between simultaneous correlations in complementary bases and quantum steering for two-qubit Bell diagonal states
• Environmental effects on nonlocal correlations
• Quantum behaviour of pumped and damped triangular Bose Hubbard systems
• Cost of Simulating Entanglement in Steering Scenario
• Robust certification of quantum instruments through a sequential communication game
• Local-hidden-state models for T-states using finite shared randomness
• Measurement-device-independent measure of steerability and witnesses for all steerable resources
• Deriving Einstein-Podolsky-Rosen steering inequalities from the few-body Abner Shimony inequalities
• Creation of bipartite steering correlations by a fast damped auxiliary mode
• Experimental simulation of quantum temporal steering beyond rotating-wave approximation
• Parameterized steering criteria via correlation matrices
• Manipulating the direction of one-way steering in an optomechanical ring cavity
• Entanglement Cost for Steering Assemblages
• Semi-device-independent certification of number of measurements
• Exploiting Gaussian steering to probe non-Markovianity due to the interaction with a structured environment
• Asymmetric steerability of quantum equilibrium and nonequilibrium steady states through entanglement detection
• Generating Asymmetric Einstein-Podolsky-Rosen Steering between Two movable Mirrors Exploiting Correlated-Emission Laser
• Imprecise quantum steering inequalities in tripartite systems
• Protection of quantum steering ellipsoids in non-Markovian environments
• Conditional steering under von-Neumann scenario
• Cyclic Einstein-Podolsky-Rosen Steering