Classifying directional Gaussian quantum entanglement, EPR steering and discord
arXiv:1406.6708 · doi:10.1103/PhysRevLett.114.060402
Abstract
Quantum discord quantifies how much Alice's system is disrupted after a measurement is performed on Bob's. Conceptually, this behavior acts the same way as quantum steering and we find that the discord grows with better steering from Bob to Alice. Using Venn diagrams, the relations between the different classes of Gaussian continuous variable entanglement and the links to discord for the squeezed-thermal states are established. We identify a directional quantum teleportation task for each class of squeezed-thermal state entanglement, and establish a unified signature for quantum steering, entanglement and discord beyond entanglement. Quantum steering and discord are promising candidates to quantify the potential of the directional quantum tasks where Alice and Bob possess asymmetrically noisy channels.
5 pages, 3 figures
References in corpus (20)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Quantum discord and the power of one qubit
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Quantum information can be negative
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- No-local-broadcasting theorem for quantum correlations
- Quantification of Gaussian quantum steering
- Observation of one-way Einstein-Podolsky-Rosen steering
- Interpreting quantum discord through quantum state merging
- Operational interpretations of quantum discord
- Operational Significance of Discord Consumption: Theory and Experiment
- Quantum discord bounds the amount of distributed entanglement
- Quantum cost for sending entanglement
- All entangled states are useful for channel discrimination
- Equivalence between Entanglement and the Optimal Fidelity of Continuous Variable Teleportation
- Homodyne estimation of Gaussian quantum discord
- Experimental Investigation of the Evolution of Gaussian Quantum Discord in an Open System
- Experimental analysis of decoherence of quantumness in a continuous variables bi-partite entangled system
- Optimal fidelity of teleportation of coherent states and entanglement
- Verification of quantum discord
Cited by in corpus (12)
- Quantification of Gaussian quantum steering
- Exploration quantum steering, nonlocality and entanglement of two-qubit X-state in structured reservoirs
- Manipulating the direction of Einstein-Podolsky-Rosen steering
- Phase control of entanglement and quantum steering in a three-mode optomechanical system
- Manipulation and enhancement of asymmetric steering via interference effects induced by closed-loop coupling
- Quantum correlations in separable multi-mode states and in classically entangled light
- Investigating Einstein-Podolsky-Rosen steering of continuous variable bipartite states by non-Gaussian pseudospin measurements
- Schwinger effect of Gaussian correlations in constant electric fields
- Recovering the lost steerability of quantum states within non-Markovian environments by utilizing quantum partially collapsing measurements
- Einstein-Podolsky-Rosen uncertainty limits for bipartite multimode states
- Remotely preparing optical Schrödinger cat states via homodyne detection in nondegenerate triple-photon spontaneous downconversion
- Demonstration of monogamy laws for Gaussian steering in optomechanics