Cyclic Einstein-Podolsky-Rosen Steering
arXiv:2106.07086 · doi:10.1103/PhysRevResearch.3.043100
Abstract
Einstein-Podolsky-Rosen (EPR) steering is a form of quantum correlation that exhibits a fundamental asymmetry in the properties of quantum systems. Given two observers, Alice and Bob, it is known to exist bipartite entangled states which are one-way steerable in the sense that Alice can steer Bob's state, but Bob cannot steer Alice's state. Here we generalize this phenomenon to three parties and find a cyclic property of tripartite EPR steering. In particular, we identify a three-qubit state whose reduced bipartite states are one-way steerable for arbitrary projective measurements. Moreover, the three-qubit state has a cyclic steering property in the sense, that by arranging the system in a triangular configuration the neighboring parties can steer each others' states only in the same (e.g. clockwise) direction. That is, Alice can steer Bob's state, Bob can steer Charlie's state, and Charlie can steer Alice's state, but not the other way around.
arXiv comment11 pages, 2 figures, 1 table
References in corpus (53)
- Quantum entanglement
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Three qubits can be entangled in two inequivalent ways
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Bell nonlocality
- Entanglement detection
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Significant-loophole-free test of Bell's theorem with entangled photons
- A strong loophole-free test of local realism
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- The Einstein-Podolsky-Rosen paradox: from concepts to applications
- 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
- Experimental EPR-Steering of Bell-local States
- Observation of one-way Einstein-Podolsky-Rosen steering
- Quantifying Einstein-Podolsky-Rosen steering
- Taming multiparticle entanglement
- Separability criteria for genuine multiparticle entanglement
- One-way Einstein-Podolsky-Rosen Steering
- Loophole-free Einstein-Podolsky-Rosen experiment via quantum steering
- Spatial entanglement patterns and Einstein-Podolsky-Rosen steering in a Bose-Einstein condensate
- Conclusive quantum steering with superconducting transition edge sensors
- Observation of genuine one-way Einstein-Podolsky-Rosen steering
- Spatially distributed multipartite entanglement enables Einstein-Podolsky-Rosen steering of atomic clouds
- Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
- Grothendieck's constant and local models for noisy entangled quantum states
- Experimental quantification of asymmetric Einstein-Podolsky-Rosen steering
- Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
- Arbitrarily loss-tolerant Einstein-Podolsky-Rosen steering allowing a demonstration over 1 km of optical fiber with no detection loophole
- Quantum randomness extraction for various levels of characterization of the devices
- Asymmetric Gaussian steering: when Alice and Bob disagree
- Unbounded randomness certification using sequences of measurements
- Unified criteria for multipartite quantum nonlocality
- Sufficient criterion for guaranteeing that a two-qubit state is unsteerable
- Multipartite entanglement measures
- Demonstration of MultiSetting One-Way Einstein-Podolsky-Rosen Steering in Two-Qubit Systems
- Einstein-Podolsky-Rosen steering and the steering ellipsoid
- Maximal randomness expansion from steering inequality violations using qudits
- Quantum steering ellipsoids, extremal physical states and monogamy
- 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
- Metrological complementarity reveals the Einstein-Podolsky-Rosen paradox
- EPR entanglement strategies in two-well BEC
- Asymmetric Gaussian harmonic steering in second harmonic generation
- Volume monogamy of quantum steering ellipsoids for multi-qubit systems
- The geometry of the Einstein--Podolsky--Rosen correlations
- Fundamental limits on key rates in device-independent quantum key distribution
- Heralded quantum steering over a high-loss channel
- Qutrit witness from the Grothendieck constant of order four
- Persistency of entanglement and nonlocality in multipartite quantum systems
- Towards an Einstein-Podolsky-Rosen paradox between two macroscopic atomic ensembles at room temperature