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Non-Markovian dephasing and depolarizing channels
U. Shrikant, R. Srikanth,
Published in American Physical Society
Volume: 98
Issue: 3
We introduce a method to construct non-Markovian variants of completely positive (CP) dynamical maps, particularly, qubit Pauli channels. We identify non-Markovianity with the breakdown in CP divisibility of the map, i.e., appearance of a not-completely positive intermediate map. In particular, we consider the case of non-Markovian dephasing in detail. The eigenvalues of the Choi matrix of the intermediate map crossover at a point which corresponds to a singularity in the canonical decoherence rate of the corresponding master equation and thus to a momentary noninvertibility of the map. Thereafter, the rate becomes negative, indicating non-Markovianity. We quantify the non-Markovianity by two methods, one based on CP divisibility [Hall, Phys. Rev. A 89, 042120 (2014)PLRAAN1050-294710.1103/PhysRevA.89.042120], which does not require optimization but requires normalization to handle the singularity, and another method, based on distinguishability [Breuer Phys. Rev. Lett. 103, 210401 (2009)PRLTAO0031-900710.1103/PhysRevLett.103.210401], which requires optimization but is insensitive to the singularity. © 2018 American Physical Society.
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JournalData powered by TypesetPhysical Review A
PublisherData powered by TypesetAmerican Physical Society
Open AccessNo