Can quantum correlations be completely quantum?
arXiv:0705.1370 · doi:10.1088/1751-8113/41/7/075308
Abstract
Deficit of information zero-way was proposed in HorodeckiHHOSSS2005 as one of possible measures of quantumness of correlations. Numerical calculations suggested that there exist such states for which this quantity is almost equal to mutual information. In this paper we present a family of states for which we have equality between above measure of quantumness of correlations and the measure of total correlations -- mutual information. It means that whole correlations in these states have, in some sense, quantum character and that quantum correlations do not necessarily imply classical correlations. We prove this intriguing feature for a subclass of 2x2 separable states. We also present numerical result suggesting that this interesting situation might also happen for 2x2 entangled states.
8 pages, 5 figures, REVTeX 4
References in corpus (9)
- Introducing Quantum Discord
- Quantum Nonlocality without Entanglement
- Unextendible Product Bases and Bound Entanglement
- A Thermodynamical Approach to Quantifying Quantum Correlations
- Local versus non-local information in quantum information theory: formalism and phenomena
- Quantum Discord and Maxwell's Demons
- Reversible transformations from pure to mixed states, and the unique measure of information
- Information as a resource in distributed quantum systems
- Bounds on localisable information via semidefinite programming
Cited by in corpus (9)
- The classical-quantum boundary for correlations: discord and related measures
- Theoretical and experimental aspects of quantum discord and related measures
- Quantum Correlation Without Classical Correlations
- Postulates for measures of genuine multipartite correlations
- Super Quantum Discord with Weak Measurements
- Non-zero total correlation means non-zero quantum correlation
- Private quantum decoupling and secure disposal of information
- Quantum deficits and correlations of two superconducting charge qubits
- Tractable measure of nonclassical correlation using density matrix truncations