Genuine multipartite Einstein-Podolsky-Rosen steering

Abstract

We develop the concept of genuine N-partite Einstein-Podolsky-Rosen (EPR) steering. This nonlocality is the natural multipartite extension of the original EPR paradox. Useful properties emerge that are not guaranteed for genuine multipartite entangled states. In particular, there is a close link with the task of one-sided device-independent quantum secret sharing. We derive inequalities to demonstrate multipartite EPR steering for Greenberger-Horne-Zeilinger (GHZ) and Gaussian continuous variable (CV) states in loophole-free scenarios.

5 pages, 3 figures

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Cited by in corpus (119)

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• Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
• Unconditional security of entanglement-based continuous-variable quantum secret sharing
• Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications
• One-to-one mapping between steering and joint measurability problems
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• Signifying quantum benchmarks for qubit teleportation and secure communication using Einstein-Podolsky-Rosen steering inequalities
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• General Monogamy of Tsallis $q$-Entropy Entanglement in Multiqubit Systems
• Multipartite entanglement in heterogeneous systems
• Detecting faked continuous variable entanglement using one-sided device-independent entanglement witnesses
• Decoherence of Einstein-Podolsky-Rosen steering
• Network Quantum Steering
• Facets of bipartite nonlocality sharing by multiple observers via sequential measurements
• Detection of genuine tripartite entanglement by multiple sequential observers
• Certifying single-system steering for quantum information processing
• Probing quantum correlations in many-body systems: a review of scalable methods
• Sharing of tripartite nonlocality by multiple observers measuring sequentially at one side
• Einstein-Podolsky-Rosen steering: Its geometric quantification and witness
• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
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• Randomness Certification from Multipartite Quantum Steering for Arbitrary Dimensional Systems
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• Strong subadditivity for log-determinant of covariance matrices and its applications
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• Full multipartite steering inseparability, genuine multipartite steering and monogamy for continuous variable systems
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• Characterizing Multipartite Non-Gaussian Entanglement for Three-Mode Spontaneous Parametric Down-Conversion Process
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• Quantifying Quantum-Mechanical Processes
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• Dynamics and recovery of genuine multipartite Einstein-Podolsky-Rosen steering and genuine multipartite nonlocality for a dissipative Dirac system via Unruh effect
• Counting Classical Nodes in Quantum Networks
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• Necessary Condition for Steerability of Arbitrary Two-Qubit States with Loss
• Tripartite correlations over two octaves from cascaded harmonic generation
• Mesoscopic two-mode entangled and steerable states of 40,000 atoms in a Bose-Einstein condensate interferometer
• Hierarchy of Genuine Multipartite Quantum Correlations
• Compatibility of Generalized Noisy Qubit Measurements
• Distillation of genuine tripartite Einstein-Podolsky-Rosen steering
• Criteria to detect genuine multipartite entanglement using spin measurements
• Efficient Scheme for Perfect Collective Einstein-Podolsky-Rosen Steering
• Quantification of quantum steering in a Gaussian Greenberger-Horne-Zeilinger state
• Detecting continuous variable entanglement in phase space with the $Q$-distribution
• Hexapartite steering based on a four-wave-mixing process with a spatially structured pump
• Operational characterization of quantumness of unsteerable bipartite states
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• Bounding the persistency of the nonlocality of W states
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• Certification of non-Gaussian Einstein-Podolsky-Rosen Steering
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• Detecting quantum steering in networks
• Adjusting inequalities for detection-loophole-free steering experiments
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• Single-particle steering and nonlocality: The consecutive Stern-Gerlach Experiments
• Sharing EPR steering between sequential pairs of observers
• Experimental distillation of tripartite quantum steering with an optimal local filtering operation
• Detecting Tripartite Steering via Quantum Entanglement
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• Verifying Hierarchic Multipartite and Network Nonlocalities with a Unified Method
• Scalable Determination of Multipartite Entanglement in Quantum Networks
• Entanglement of Local Hidden States
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• Monogamy inequalities for entanglement using continuous variable measurements
• Demonstration that Einstein-Podolsky-Rosen steering requires more than one bit of faster-than-light information transmission
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• Testing Genuine Multipartite Nonlocality via an Inflated Network with Multi-copy Entangled States
• Tripartite entanglement and tripartite steering in three-qubit pure states induced by vacuum--one-photon superpositions
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