Physical accessibility of non-completely positive maps

Details Physical accessibility of non-completely positive maps Physical accessibility of non-completely positive maps

2005-12-20

arxiv.org/abs/quant-ph/0512167v3

Phys. Rev A 77, 042113 (2008)

Physics

Quantum Physics

8 pages, 1 eps figure. Final version

Scientific paper

10.1103/PhysRevA.77.042113

Maps that are not completely positive (CP) are often useful to describe the dynamics of open systems. An apparent violation of complete positivity can occur because there are prior correlations of the principal system with the environment, or if the applied transformation is correlated with the state of the system. We provide a physically motivated definition of accessible non-CP maps and derive two necessary conditions for a map to be accessible. We also show that entanglement between the system and the environment is not necessary to generate a non-CP dynamics. We describe two simple approximations that may be sufficient for some problems in process tomography, and then outline what these methods may be able to tell us in other situations where non-CP dynamics naturally arise.

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