Einstein-Podolsky-Rosen Steering and Quantum Steering Ellipsoids: Optimal Two-Qubit States and Projective Measurements
arXiv:1611.05163 · doi:10.1103/PhysRevA.95.012320
Abstract
We identify the families of states that maximise some recently proposed quantifiers of Einstein-Podolsky-Rosen (EPR) steering and the volume of the Quantum Steering Ellipsoid (QSE). The optimal measurements which maximise genuine EPR steering measures are discussed and we develop a novel way to find them using the QSE. We thus explore the links between genuine EPR steering and the QSE and introduce states that can be the most useful for one-sided device-independent quantum cryptography for a given amount of noise.
arXiv comment7 pages, 6 figures, RevTeX4; Accepted for publication in Phys. Rev. A
References in corpus (26)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- In defense of the epistemic view of quantum states: a toy theory
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Experimental EPR-Steering of Bell-local States
- Observation of one-way Einstein-Podolsky-Rosen steering
- Quantifying Einstein-Podolsky-Rosen steering
- Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks
- Characterizing quantum theory in terms of information-theoretic constraints
- Maximizing the entanglement of two mixed qubits
- One-way Einstein-Podolsky-Rosen Steering
- Genuine multipartite Einstein-Podolsky-Rosen steering
- Arbitrarily loss-tolerant Einstein-Podolsky-Rosen steering allowing a demonstration over 1 km of optical fiber with no detection loophole
- Quantum Steering Ellipsoids
- The resource theory of steering
- Mixed state sensitivity of several quantum information benchmarks
- Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems
- Steering bound entangled states: A counterexample to the stronger Peres conjecture
- Einstein-Podolsky-Rosen steering and the steering ellipsoid
- Quantifying Non-Markovianity with Temporal Steering
- Maximally discordant mixed states of two qubits
- Quantum steering ellipsoids, extremal physical states and monogamy
- Faithful nonclassicality indicators and extremal quantum correlations in two-qubit states
- Volume monogamy of quantum steering ellipsoids for multi-qubit systems
- A dissipative scheme to approach the boundary of two-qubit entangled mixed states
- Quantum Steering and Space-Like Separation
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- Quantum Steering
- Einstein-Podolsky-Rosen steering: Its geometric quantification and witness
- Maximal Steered Coherence Protection by Quantum Reservoir Engineering
- Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid
- Deep learning the hierarchy of steering measurement settings of qubit-pair states
- Shareability of steering in 2-producible states
- Experimental verification of the steering ellipsoid zoo via two-qubit states
- On the power of one pure steered state for EPR-steering with a pair of qubits
- Locally inaccessible hidden quantum correlations
- Conditional states and entropy in qudit-qubit systems
- Protection of quantum steering ellipsoids in non-Markovian environments
- Measuring quantum discord using the most distinguishable steered states