TY - JOUR
T1 - Relation between the dynamics of the reduced purity and correlations
AU - Kimura, Gen
AU - Ohno, Hiromichi
AU - Mosonyi, Milán
N1 - Funding Information:
Most of this work was done when the authors were affiliated to Tohoku University in 2007, and we are grateful to Prof. M. Ozawa, Prof. F. Hiai, and Dr. T. Miyamoto for their helpful comments and advices. G.K. would like to acknowledge Dr. K. Imafuku for his useful comments on the application of Statement (B) to a difference between proper and improper mixtures. Financial supports by the JSPS research grants (G.K. and H.O.), the Grant-in-Aid for JSPS fellows 18·06916 (M.M.), and the Hungarian Research Grant OTKA T068258 (M.M.) are gratefully acknowledged. The Centre for Quantum Technologies is funded by the Singapore Ministry of Education and the National Research Foundation as part of the Research Centres of Excellence program.
PY - 2010/9
Y1 - 2010/9
N2 - General property of the relation between the dynamics of reduced purity and correlations in quantum mechanical systems is investigated. We show that a non-zero time-derivative of the reduced purity of a system implies the existence of non-zero correlations with its environment for any unbounded Hamiltonian with finite variance. This shows the impact of local dynamical information on the correlations, as well as the role of correlations in the mechanism of purity change.
AB - General property of the relation between the dynamics of reduced purity and correlations in quantum mechanical systems is investigated. We show that a non-zero time-derivative of the reduced purity of a system implies the existence of non-zero correlations with its environment for any unbounded Hamiltonian with finite variance. This shows the impact of local dynamical information on the correlations, as well as the role of correlations in the mechanism of purity change.
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U2 - 10.1142/S123016121000014X
DO - 10.1142/S123016121000014X
M3 - Article
AN - SCOPUS:79551652783
SN - 1230-1612
VL - 17
SP - 233
EP - 243
JO - Open Systems and Information Dynamics
JF - Open Systems and Information Dynamics
IS - 3
ER -