Abstract. We study decoherence-free subspaces in a type of Quantum Markov Semigroups called continuous-time open quantum random walks on graphs. We measure the temporary changes of quantum correlations using geometric quantum discord with bures distance under some assumptions about the semigroup. In particular, we characterize the decay of correlations to zero, showing that turns out to be closely related with the structure of decoherence-free subspace.

Received: May 31, 2016

Revised: August 29, 2016

Published: October 9, 2016

AMS Subject Classification: 47D06, 46L55, 81S22

Key Words and Phrases: quantum Markov semigroup, geometric quantum discord, Bures distance, decoherence-free subspaces
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DOI: 10.12732/ijpam.v109i4.16 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 109
Issue: 4
Pages: 941 - 957

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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