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Optimal state pairs for non-Markovian quantum dynamics
Tekijät: Wissmann S, Karlsson A, Laine EM, Piilo J, Breuer HP
Kustantaja: AMER PHYSICAL SOC
Julkaisuvuosi: 2012
Journal: Physical Review A
Tietokannassa oleva lehden nimi: PHYSICAL REVIEW A
Lehden akronyymi: PHYS REV A
Artikkelin numero: ARTN 062108
Numero sarjassa: 6
Vuosikerta: 86
Numero: 6
Sivujen määrä: 6
ISSN: 1050-2947
DOI: https://doi.org/10.1103/PhysRevA.86.062108
Rinnakkaistallenteen osoite: https://arxiv.org/abs/1209.4989
Tiivistelmä
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. DOI: 10.1103/PhysRevA.86.062108
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. DOI: 10.1103/PhysRevA.86.062108