Quantum discord in quantum computation
Abstract
Quantum discord is a measure of the quantumness of correlations. After reviewing its different versions and properties, we apply it to the questions of quantum information processing. First we show that changes in discord in the processed unentangled states indicate the need for entanglement in the distributed implementation of quantum gates. On the other hand, it was shown that zero system-environment discord is a necessary and sufficient condition for applicability of the standard completely positive description of the system's evolution. We demonstrate that this result does not translate into useful quantum process tomography. Depending on the details of the preparation procedure only absence of any initial correlations may guarantees consistency of the process tomography.
Cite
@article{arxiv.1012.1402,
title = {Quantum discord in quantum computation},
author = {Aharon Brodutch and Alexei Gilchrist and Daniel R. Terno and Christopher J. Wood},
journal= {arXiv preprint arXiv:1012.1402},
year = {2015}
}
Comments
Prepared for publication in the Proceedings of DICE2010. Section 4 contains previously unpublished results on process tomography. Comments welcome