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 (21)

• Quantum entanglement
• Bell nonlocality
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
• The Einstein-Podolsky-Rosen paradox: from concepts to applications
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Experimental EPR-Steering of Bell-local States
• Observation of one-way Einstein-Podolsky-Rosen steering
• Quantifying Einstein-Podolsky-Rosen steering
• Quantum Nonlocality in Phase Space
• Nonsequential positive-operator-valued measurements on entangled mixed states do not always violate a Bell inequality
• Loophole-free Einstein-Podolsky-Rosen experiment via quantum steering
• Conclusive quantum steering with superconducting transition edge sensors
• Arbitrarily loss-tolerant Einstein-Podolsky-Rosen steering allowing a demonstration over 1 km of optical fiber with no detection loophole
• Negativity and steering: a stronger Peres conjecture
• Asymmetric Gaussian steering: when Alice and Bob disagree
• Genuine hidden quantum nonlocality
• Noise robustness of the nonlocality of entangled quantum states
• EPR entanglement strategies in two-well BEC
• Asymmetric Gaussian harmonic steering in second harmonic generation
• Towards an Einstein-Podolsky-Rosen paradox between two macroscopic atomic ensembles at room temperature

Cited by in corpus (146)

• 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
• Scalable quantum simulation of pulsed entanglement and Einstein-Podolsky-Rosen steering in optomechanics
• 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
• Super-Activation of Quantum Steering
• Quantum steering of multimode Gaussian states by Gaussian measurements: monogamy relations and the Peres conjecture
• Steering maps and their application to dimension-bounded 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
• Role of thermal noise in tripartite quantum steering
• Demonstrating shareability of multipartite Einstein-Podolsky-Rosen steering
• Quantum steering of Gaussian states via non-Gaussian measurements
• Experimental nonlocal steering of Bohmian trajectories
• Steering Criteria via Covariance Matrices of Local Observables in Arbitrary Dimensional Quantum Systems
• Multipartite Einstein-Podolsky-Rosen steering sharing with separable states
• Quantum correlations across two octaves from combined up and down conversion
• 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
• Swapping of Gaussian Einstein-Podolsky-Rosen steering
• Exact Steering Bound for Two-Qubit Werner States
• Reliable experimental certification of one-way Einstein-Podolsky-Rosen steering
• Satellite-based quantum steering under the influence of spacetime curvature of the Earth
• Einstein-Podolsky-Rosen correlations and Bell correlations in the simplest scenario
• Cost of Einstein-Podolsky-Rosen steering in the context of extremal boxes
• Algorithmic construction of local models for entangled quantum states: optimization for two-qubit states
• EPR Steering inequalities with Communication Assistance
• Dynamical Gaussian quantum steering in optomechanics
• Einstein-Podolsky-Rosen steering based on semi-supervised machine learning
• Dynamics and recovery of genuine multipartite Einstein-Podolsky-Rosen steering and genuine multipartite nonlocality for a dissipative Dirac system via Unruh effect
• Monogamy of Einstein-Podolsky-Rosen steering in the background of an asymptotically flat black hole
• Geometric Steering Criterion for Two-qubit States
• Necessary Condition for Steerability of Arbitrary Two-Qubit States with Loss
• Hierarchy of Genuine Multipartite Quantum Correlations
• Compatibility of Generalized Noisy Qubit Measurements
• Absolute Non-Violation of a Three-Setting Steering Inequality by Two-Qubit States
• Experimental observation the Einstein-Podolsky-Rosen Steering based on the detection of entanglement
• Unlimited One-Way Steering
• Efficient Scheme for Perfect Collective Einstein-Podolsky-Rosen Steering
• Einstein-Podolsky-Rosen Steering Criterion and Monogamy Relation via Correlation Matrices in Tripartite Systems
• Quantification of quantum steering in a Gaussian Greenberger-Horne-Zeilinger state
• 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
• Recovering the lost steerability of quantum states within non-Markovian environments by utilizing quantum partially collapsing measurements
• Experimental verification of multidimensional quantum steering
• Unidirectional Gaussian One-Way Steering
• 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
• Quantum temporal steering in a dephasing channel with quantum criticality
• Unveiling quantum steering by quantum-classical uncertainty complementarity
• Necessary conditions for steerability of two qubits, from consideration of local operations
• Equivalence between simulability of high-dimensional measurements and high-dimensional steering
• Interplays between classical and quantum entanglement-assisted communication scenarios
• Local-hidden-state models for Bell diagonal states and beyond
• Geometric Local Hidden State Model for Some Two-qubit States
• Detecting EPR steering via two classes of local measurements
• Sharing EPR steering between sequential pairs of observers
• Role of maximally entangled states in the context of linear steering inequalities
• Detecting Tripartite Steering via Quantum Entanglement
• Characterization of the quantumness of unsteerable tripartite correlations
• Analysis of Quantum Steering Measures
• Quantum behaviour of open pumped and damped Bose-Hubbard trimers
• Asymmetric One-Sided Semi-Device-Independent Steerability of Quantum Discordant States
• Quantum steering as a probe of energy transfer in quantum batteries
• Demonstration of monogamy laws for Gaussian steering in optomechanics
• Recovering quantum entanglement after its certification
• Several Trade off Features of Quantum Steering in Distributed Scenario
• Averaged fidelity-based steering criteria
• Estimating the privacy of quantum-random numbers
• Diagnosing steerability of a bipartite state with the nonsteering threshold
• Identifying Quantum Correlations Using Explicit SO(3) to SU(2) Maps
• Environmental effects on nonlocal correlations
• Revealing the quantitative relation between simultaneous correlations in complementary bases and quantum steering for two-qubit Bell diagonal states
• Chaos in quantum steering in high-dimensional systems
• Quantifying Quantum Steering with Limited Resources: A Semi-supervised Machine Learning Approach
• Einstein-Podolsky-Rosen steering paradox "2=1'' for $N$ qubits
• Robust certification of quantum instruments through a sequential communication game
• Quantum behaviour of pumped and damped triangular Bose Hubbard systems
• Cost of Simulating Entanglement in Steering Scenario
• Creation of bipartite steering correlations by a fast damped auxiliary mode
• Measurement-device-independent measure of steerability and witnesses for all steerable resources
• Manipulating the direction of one-way steering in an optomechanical ring cavity
• Experimental simulation of quantum temporal steering beyond rotating-wave approximation
• Entanglement Cost for Steering Assemblages
• Local-hidden-state models for T-states using finite shared randomness
• Parameterized steering criteria via correlation matrices
• Deriving Einstein-Podolsky-Rosen steering inequalities from the few-body Abner Shimony inequalities
• Protection of quantum steering ellipsoids in non-Markovian environments
• Generating Asymmetric Einstein-Podolsky-Rosen Steering between Two movable Mirrors Exploiting Correlated-Emission Laser
• Exploiting Gaussian steering to probe non-Markovianity due to the interaction with a structured environment
• Conditional steering under von-Neumann scenario
• Semi-device-independent certification of number of measurements
• Asymmetric steerability of quantum equilibrium and nonequilibrium steady states through entanglement detection
• Cyclic Einstein-Podolsky-Rosen Steering
• Imprecise quantum steering inequalities in tripartite systems