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Optimal state pairs for non-Markovian quantum dynamics | | Steffen Wissmann
; Antti Karlsson
; Elsi-Mari Laine
; Jyrki Piilo
; Heinz-Peter Breuer
; | | Date: |
22 Sep 2012 | | Abstract: | We study a recently proposed measure for the quantification of quantum
non-Markovianity in the dynamics of open systems which is based on the exchange
of information between the open system and its environment. This measure
relates the degree of memory effects to certain optimal initial state pairs
featuring a maximal flow of information from the environment back to the open
system. We rigorously prove that the states of these optimal pairs must lie on
the boundary of the space of physical states and that they must be orthogonal.
This implies that quantum memory effects are maximal for states which are
initially distinguishable with certainty, having a maximal information content.
Moreover, we construct an explicit example which demonstrates that optimal
quantum states need not be pure states. | | Source: | arXiv, 1209.4989 | | Services: | Forum | Review | PDF | Favorites | |
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