Interpreting quantum discord through quantum state merging
arXiv:1008.4135 · doi:10.1103/PhysRevA.83.032323
Abstract
We present an operational interpretation of quantum discord based on the quantum state merging protocol. Quantum discord is the markup in the cost of quantum communication in the process of quantum state merging, if one discards relevant prior information. Our interpretation has an intuitive explanation based on the strong subadditivity of von Neumann entropy. We use our result to provide operational interpretations of other quantities like the local purity and quantum deficit. Finally, we discuss in brief some instances where our interpretation is valid in the single copy scenario.
5 pages, no figures. See http://arxiv.org/abs/1008.3205 for similar results. Typos fixed, references and acknowledgements updated. End note added
References in corpus (6)
Cited by in corpus (44)
- The thermodynamic meaning of negative entropy
- Operational interpretations of quantum discord
- Quantum discord for general two--qubit states: Analytical progress
- Linking Quantum Discord to Entanglement in a Measurement
- All non-classical correlations can be activated into distillable entanglement
- Operational Significance of Discord Consumption: Theory and Experiment
- Quantum cost for sending entanglement
- Classifying directional Gaussian quantum entanglement, EPR steering and discord
- Competitions between quantum correlations in the quantum-memory-assisted entropic uncertainty relation
- Quantum-memory-assisted entropic uncertainty principle under noise
- Experimentally Witnessing the Quantumness of Correlations
- Universal freezing of quantum correlations within the geometric approach
- Measuring bipartite quantum correlations of an unknown state
- Quantum discord as a resource in quantum communication
- Quantum resources for hybrid communication via qubit-oscillator states
- Quantum correlations and distinguishability of quantum states
- Homodyne estimation of Gaussian quantum discord
- Experimental Investigation of the Evolution of Gaussian Quantum Discord in an Open System
- Quantumness of noisy quantum walks: a comparison between measurement-induced disturbance and quantum discord
- Vanishing Geometric Discord in Non-Inertial Frames
- Quantum discord and non-Markovianity of quantum dynamics
- Quantifying nonclassicality: global impact of local unitary evolutions
- Multipartite quantum correlations and local recoverability
- Discording power of quantum evolutions
- Maximally dense coding capable quantum states
- Collapse-revival of quantum discord and entanglement
- Verification of quantum discord
- Sudden change of geometric quantum discord in finite temperature reservoirs
- Dynamics of Gaussian discord between two oscillators interacting with a common environment
- Overcoming ambiguities in classical and quantum correlation measures
- Quantum discord for the general two-qubit case
- Classical extension of quantum-correlated separable states
- Generalized conditional entropy optimization for qudit-qubit states
- Classical memoryless noise-induced maximally discordant mixed separable steady states
- Quantum discord and information deficit in spin chains
- Shielding quantum discord through continuous dynamical decoupling
- Theoretical insights on measuring quantum correlations
- Nonexistence of entangled continuous-variable Werner states with positive partial transpose
- Role of complementary correlations in the evolution of classical and quantum correlations under Markovian decoherence
- Quantum correlation cost of the weak measurement
- Approximation, Proof Systems, and Correlations in a Quantum World
- On the Physical Explanation for Quantum Computational Speedup
- Quantum Discord and Entanglement of Quasi-Werner States based on Entangled Coherent States
- Probing the non-locality of Majorana fermions via quantum correlations