Shareability of Quantum Steering and its Relation with Entanglement
arXiv:2005.14375 · doi:10.1103/PhysRevA.102.052209
Abstract
Steerability is a characteristic of quantum correlations lying in between entanglement and Bell nonlocality. Understanding how these steering correlations can be shared between different parties has profound applications in ensuring security of quantum communication protocols. Here we show that at most two bipartite reduced states of a three qubit state can violate the three settings CJWR linear steering inequality contrary to two settings linear steering inequality. This result explains that quantum steering correlations have limited shareability properties and can sometimes even be nonmonogamous. In contrast to the two setting measurement scenario, three setting scenario turns out to be more useful to develop deeper understanding of shareability of tripartite steering correlations. Apart from distribution of steering correlations, several relations between reduced bipartite steering, different measures of bipartite entanglement of reduced states and genuine tripartite entanglement are presented here. The results enable detection of different kind of tripartite entanglement.
arXiv comment13 pages, 1 figure
References in corpus (70)
- Quantum entanglement
- Quantum Cryptography
- Entanglement of Formation of an Arbitrary State of Two Qubits
- The Quantum Internet
- Three qubits can be entangled in two inequivalent ways
- Entanglement of a Pair of Quantum Bits
- Distributed Entanglement
- Entanglement detection
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Non-local correlations as an information theoretic resource
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Quantum Steering
- Generalized Schmidt decomposition and classification of three-quantum-bit states
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Perfect Teleportation and Superdense Coding With W-States
- General properties of Nonsignaling Theories
- A Relevant Two Qubit Bell Inequality Inequivalent to the CHSH Inequality
- EPR Steering Inequalities from Entropic Uncertainty Relations
- Quantum Communication between N partners and Bell's inequalities
- Is Entanglement Monogamous?
- Optimal spin squeezing inequalities detect bound entanglement in spin models
- Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
- A classification of entanglement in three-qubit systems
- Distribution of quantum coherence in multipartite systems
- Detecting non-locality in multipartite quantum systems with two-body correlation functions
- Monogamy of nonlocal quantum correlations
- Entanglement versus Bell violations and their behaviour under local filtering operations
- Symmetries of the Bell correlation inequalities
- Quantification of Einstein-Podolski-Rosen steering for two-qubit states
- Entanglement Witnesses in Spin Models
- Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications
- Are general quantum correlations monogamous?
- General monogamy relation for the entanglement of formation in multiqubit systems
- Quantum randomness extraction for various levels of characterization of the devices
- Security proof for cryptographic protocols based only on the monogamy of Bell's inequality violations
- Entanglement monogamy relations of qubit systems
- Monogamy inequalities for the EPR paradox and quantum steering
- Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems
- Monogamy properties of quantum and classical correlations
- Einstein-Podolsky-Rosen steering and the steering ellipsoid
- Conditions for Monogamy of Quantum Discord: Greenberger-Horne-Zeilinger versus W states
- One-qubit reduced states of a pure many-qubit state: polygon inequalities
- Unitarity of black hole evaporation in final-state projection models
- Analog of the Clauser-Horne-Shimony-Holt inequality for steering
- Strong monogamy conjecture for multiqubit entanglement: The four-qubit case
- Testing the Structure of Multipartite Entanglement with Bell Inequalities
- Monogamy of Correlations vs. Monogamy of Entanglement
- Concurrence and a proper monogamy inequality for arbitrary quantum states
- Monogamy of Bell's inequality violations in non-signaling theories
- All-Versus-Nothing Proof of Einstein-Podolsky-Rosen Steering
- Correlation complementarity yields Bell monogamy relations
- Geometric Bell-like inequalities for steering
- Quantum Key Distribution between N partners: optimal eavesdropping and Bell's inequalities
- Entangled graphs: Bipartite entanglement in multi-qubit systems
- Quantifying the nonlocality of GHZ quantum correlations by a bounded communication simulation protocol
- Volume monogamy of quantum steering ellipsoids for multi-qubit systems
- Monogamy of quantum correlations reveals frustration in a quantum Ising spin system: Experimental demonstration
- Anisotropic invariance and the distribution of quantum correlations
- Hilbert's 17th problem and the quantumness of states
- Trade-off Relations of Bell Violations among Pairwise Qubit Systems
- Detecting genuine multipartite entanglement of pure states with bipartite correlations
- Maximally dense coding capable quantum states
- N-particle nonclassicality without N-particle correlations
- Monogamy of particle statistics in tripartite systems simulating bosons and fermions
- Bell monogamy relations in arbitrary qubit networks
- Trade-offs in multi-party Bell inequality violations in qubit networks
- Monogamy relations for nonclassical correlations of multi-qubit states
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- Demonstrating shareability of multipartite Einstein-Podolsky-Rosen steering
- Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
- Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
- Unification of quantum resources in tripartite systems
- Shareability of steering in 2-producible states
- Can NSI affect non-local correlations in neutrino oscillations?
- Sharing EPR steering between sequential pairs of observers
- Steering in Neutrino Oscillations with Non-Standard Interaction
- Tripartite entanglement and tripartite steering in three-qubit pure states induced by vacuum--one-photon superpositions