Detecting genuine multipartite entanglement in steering scenarios
arXiv:1510.08800 · doi:10.1103/PhysRevA.93.052311
Abstract
Einstein-Podolsky-Rosen (EPR) steering is a form of quantum nonlocality which is intermediate between entanglement and Bell nonlocality. EPR steering is a resource for quantum key distribution that is device independent on only one side in that it certifies bipartite entanglement when one party's device is not characterized while the other party's device is fully characterized. In this work, we introduce two types of genuine tripartite EPR-steering, and derive two steering inequalities to detect them. In a semi-device-independent scenario where only the dimensions of two parties are assumed, the correlations which violate one of these inequalities also certify genuine tripartite entanglement. It is known that Alice can demonstrate bipartite EPR-steering to Bob if and only if her measurement settings are incompatible. We demonstrate that quantum correlations can also detect tripartite EPR-steering from Alice to Bob and Charlie, even if Charlie's measurement settings are compatible.
8 pages, 1 figure
References in corpus (15)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks
- Joint measurability of generalized measurements implies classicality
- Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
- Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
- One-to-one mapping between steering and joint measurability problems
- Analog of the Clauser-Horne-Shimony-Holt inequality for steering
- Notes on Joint Measurability of Quantum Observables
- Semi-device-independent bounds on entanglement
- Robust self testing of the 3-qubit state
- Device-independent tomography of multipartite quantum states
- Commutative POVMs and Fuzzy Observables
- Measurement-device-independent quantification of entanglement for given Hilbert space dimension
Cited by in corpus (10)
- Tripartite entanglement detection through tripartite quantum steering in one-sided and two-sided device-independent scenarios
- Nontrilocality: Exploiting nonlocality from three particle systems
- Authentication protocol based on collective quantum steering
- Nonclassicality of local bipartite correlations
- Operational characterization of quantumness of unsteerable bipartite states
- Operational nonclassicality of local multipartite correlations in the limited-dimensional simulation scenario
- Local marginals ameliorate device independent witnessing of genuine entanglement
- Characterization of the quantumness of unsteerable tripartite correlations
- Persistency of Genuine Correlations Under Particle Loss
- Conditional steering under von-Neumann scenario