An effective method of calculating the non-Markovianity $\mathcal{N}$ for single channel open systems

Details An effective method of calculating the non-Markovianity $\mathcal{N}$ for single channel open systems An effective method of calculating the non-Markovianity $\mathcal{N}$ for single channel open systems

2010-12-20

arxiv.org/abs/1012.4328v1

Physics

Quantum Physics

7 pages, 3 figures,to be published in Phys. Rev. A

Scientific paper

We propose an effective method which can simplify the optimization of the increase of the trace distance over all pairs of initial states in calculating the non-Markovianity $\mathcal{N}$ for single channel open systems. For the amplitude damping channel, we can unify the results of Breuer $et$ $al$. [Phys. Rev. Lett. \bf 103\rm, 210401 (2009)] in the large-detuning case and the results of Xu $et$ $al$. [Phys. Rev. A \bf 81\rm, 044105 (2010)] in the resonant case; furthermore, for the general off-resonant cases we can obtain a very tight lower bound of $\mathcal{N}$. As another application of our method, we also discuss $\mathcal{N}$ for the non-Markovian depolarizing channel.

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