Critical assessment of two-qubit post-Markovian master equations

Details Critical assessment of two-qubit post-Markovian master equations Critical assessment of two-qubit post-Markovian master equations

2012-03-22

arxiv.org/abs/1203.5087v1

Phys. Rev. A 85, 032120 (2012)

Physics

Quantum Physics

7 pages, 1 figure, RevTeX4. Close to published version

Scientific paper

A post-Markovian master equation has been recently proposed as a tool to describe the evolution of a system coupled to a memory-keeping environment [A. Shabani and D. A. Lidar, Phys. Rev. A 71, 020101 (R) (2005)]. For a single qubit affected by appropriately chosen environmental conditions, the corresponding dynamics is always legitimate and physical. Here we extend such situation to the case of two qubits, only one of which experiences the environmental effects. We show how, despite the innocence of such an extension, the introduction of the second qubit should be done cum grano salis to avoid consequences such as the breaking of the positivity of the associated dynamical map. This hints at the necessity of using care when adopting phenomenologically derived models for evolutions occurring outside the Markovian framework.

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