Interpreting quantum discord through quantum state merging
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.
- Publication:
-
Physical Review A
- Pub Date:
- March 2011
- DOI:
- 10.1103/PhysRevA.83.032323
- arXiv:
- arXiv:1008.4135
- Bibcode:
- 2011PhRvA..83c2323M
- Keywords:
-
- 03.67.Mn;
- 03.65.Ta;
- 03.65.Ud;
- Entanglement production characterization and manipulation;
- Foundations of quantum mechanics;
- measurement theory;
- Entanglement and quantum nonlocality;
- Quantum Physics;
- Computer Science - Information Theory
- E-Print:
- 5 pages, no figures. See http://arxiv.org/abs/1008.3205 for similar results. Typos fixed, references and acknowledgements updated. End note added