Complementarity Relations Between Quantum Steering Criteria
arXiv:1711.02612 · doi:10.1103/PhysRevA.98.052330
Abstract
Recently, a connection between quantum coherence and quantum steering was established and criteria for quantum steering or in other words, nonlocal advantage of quantum coherence (NAQC) were derived for two-qubit states. Here, we derive a set of complementarity relations between the steering or NAQC inequalities achieved by various criteria. We also extend the idea in the multi-partite scenario, specifically, in the three-qubit scenario, which can easily be generalized to the multi-partite scenario.
6 pages, 3 figures
References in corpus (16)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- Observable measure of quantum coherence in finite dimensional systems
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Quantum coherence, time-translation symmetry and thermodynamics
- Quantification of Gaussian quantum steering
- Observation of one-way Einstein-Podolsky-Rosen steering
- Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks
- Maximally coherent mixed states: Complementarity between maximal coherence and mixedness
- Fine-grained EPR-steering inequalities
- Quantum steering ellipsoids, extremal physical states and monogamy
- Exploration quantum steering, nonlocality and entanglement of two-qubit X-state in structured reservoirs
- A simple proof of monogamy of entanglement
- Multipartite steering inequalities based on entropic uncertainty relations
- The complementarity relations of quantum coherence in quantum information processing
- Quantification of quantum steering in a Gaussian Greenberger-Horne-Zeilinger state
Cited by in corpus (9)
- Sharing of Non-Local Advantage of Quantum Coherence by sequential observers
- Experimental certification of steering criterion based on general entropic uncertainty relation
- Constraint relation between steerability and concurrence for two-qubit states
- Authentication protocol based on collective quantum steering
- Exclusion principle for nonlocal advantage of quantum coherence
- No nonlocal advantage of quantum coherence beyond quantum instrumentality
- Averaged fidelity-based steering criteria
- Necessary and sufficient criterion of steering for two-qubit T states
- Experimental demonstration of complementarity relations between quantum steering criteria