Fine-grained EPR-steering inequalities

Abstract

We derive a new steering inequality based on a fine-grained uncertainty relation to capture EPR-steering for bipartite systems. Our steering inequality improves over previously known ones since it can experimentally detect all steerable two-qubit Werner state with only two measurement settings on each side. According to our inequality, pure entangle states are maximally steerable. Moreover, by slightly changing the setting, we can express the amount of violation of our inequality as a function of their violation of the CHSH inequality. Finally, we prove that the amount of violation of our steering inequality is, up to a constant factor, a lower bound on the key rate of a one-sided device independent quantum key distribution protocol secure against individual attacks. To show this result, we first derive a monogamy relation for our steering inequality.

5 pages, Accepted for publication as a Rapid Communication in Physical Review A

References in corpus (17)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Violation of Bell inequalities by photons more than 10 km apart
• The Uncertainty Principle in the Presence of Quantum Memory
• One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Entanglement, EPR-correlations, Bell-nonlocality, and Steering
• The Uncertainty Relation for Smooth Entropies
• Experimental EPR-Steering of Bell-local States
• The uncertainty principle determines the non-locality of quantum mechanics
• EPR Steering Inequalities from Entropic Uncertainty Relations
• Semi-device-independent security of one-way quantum key distribution
• Experimental investigation of the uncertainty principle in the presence of quantum memory
• Experimental investigation of the entanglement-assisted entropic uncertainty principle
• All Entangled Quantum States Are Nonlocal
• Einstein-Podolsky-Rosen-steering using quantum correlations in non-Gaussian entangled states
• Fine-grained uncertainty relation and biased non-local games in bipartite and tripartite systems
• Fine-grained uncertainty relation and nonlocality of tripartite systems

Cited by in corpus (57)

• Quantification of Gaussian quantum steering
• Non-Local Advantage of Quantum Coherence
• Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems
• General Monogamy of Tsallis $q$-Entropy Entanglement in Multiqubit Systems
• Geometric Bell-like inequalities for steering
• Sharing of Non-Local Advantage of Quantum Coherence by sequential observers
• Universal steering inequalities
• Lower bound of quantum uncertainty from extractable classical information
• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
• Multipartite steering inequalities based on entropic uncertainty relations
• Complementarity Relations Between Quantum Steering Criteria
• Steerability detection of arbitrary 2-qubit state via machine learning
• Revealing of hidden quantum steerability using local filtering operations
• One-sided Device-independent Self-testing of any Pure Two-qubit Entangled State
• The influence of Unruh effect on quantum steering for accelerated two-level detectors with different measurements
• Detecting Einstein-Podolsky-Rosen steering through entanglement detection
• Nonlocal quantum correlations under amplitude damping decoherence
• Stronger steerability criterion for more uncertain continuous variable systems
• Device-Independent Quantum Key Distribution Using Random Quantum States
• Steering Criteria via Covariance Matrices of Local Observables in Arbitrary Dimensional Quantum Systems
• Improving the bidirectional steerability between two accelerated partners via filtering process
• Measurement incompatibility and quantum advantage in communication
• Tighter Einstein-Podolsky-Rosen steering inequality based on the sum uncertainty relation
• Nonlocal Advantages of Quantum Imaginarity
• Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state
• Experimental certification of steering criterion based on general entropic uncertainty relation
• Robust Semi-Device Independent Certification of All Pure Bipartite Maximally Entangled States via Quantum Steering
• Characterizing Nonlocal Correlations via Universal Uncertainty Relations
• Cost of Einstein-Podolsky-Rosen steering in the context of extremal boxes
• Authentication protocol based on collective quantum steering
• Einstein-Podolsky-Rosen steering based on semi-supervised machine learning
• Detected the steerability bounds of the generalized Werner states via BackPropagation neural network
• Detecting non-Markovianity via uncertainty relations
• Device-Independent Quantum Secure Direct Communication Under Non-Markovian Quantum Channels
• Preservation of quantum key rate in the presence of decoherence
• Separability conditions based on local fine-grained uncertainty relations
• Eavesdropping a Quantum Key Distribution network using sequential quantum unsharp measurement attacks
• Operational characterization of quantumness of unsteerable bipartite states
• Experimental detection of steerability in Bell local states with two measurement settings
• Measurement incompatibility and Channel Steering
• Optimal quantum violation of Clauser-Horne-Shimony-Holt like steering inequality
• Detecting EPR steering via two classes of local measurements
• Detecting Tripartite Steering via Quantum Entanglement
• Role of maximally entangled states in the context of linear steering inequalities
• "All-versus-nothing" proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario
• A tighter steering criterion using the Robertson-Schrodinger uncertainty relation
• Environmental effects on nonlocal correlations
• Certifying quantumness beyond steering and nonlocality and its implications on quantum information processing
• Quantifying Quantum Steering with Limited Resources: A Semi-supervised Machine Learning Approach
• Physical interpretation of nonlocal quantum correlation through local description of subsystems
• Robust one-sided self-testing of two-qubit states via quantum steering
• Secure One-Sided Device-Independent Quantum Key Distribution Under Collective Attacks with Enhanced Robustness
• Measurement-device-independent Schmidt number certification of all entangled states
• Classifying Measurement Incompatibility under Classical Pre- and Post-Processing Operations
• Operational nonlocality
• Necessary and sufficient criterion of steering for two-qubit T states
• Broadcasting of non-locality