Classical information deficit and monotonicity on local operations
Abstract
We investigate the so-called classical information deficit—a candidate for a measure of classical correlations emerging from a thermodynamical approach initiated by Oppenheim et al (Phys. Rev. Lett. 89 180402 (Preprint quant-ph/0112074)). It is defined as the difference between the amount of information that can be concentrated by the use of LOCC and the information contained in subsystems. We compare a one-way version of this quantity with a measure of classical correlations proposed by Henderson and Vedral. As a result, we obtain that the quantity can increase under local operations, hence it does not possess the property required for a good measure of classical correlations. Recently it was shown by Devetak 2004 (Preprint quant-ph/0406234) that the regularized version of this quantity is monotonic under local operations. In this context, our result implies that regularization plays a role of 'monotonizer'.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- November 2004
- DOI:
- 10.1088/0305-4470/37/47/015
- arXiv:
- arXiv:quant-ph/0403167
- Bibcode:
- 2004JPhA...3711465S
- Keywords:
-
- Quantum Physics
- E-Print:
- 6 pages, revtex