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Phys. Rev. A 65, 012101 (2001) [9 pages]

Dynamics of quantum entanglement

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Karol Życzkowski1,2,*, Paweł Horodecki3,†, Michał Horodecki4,‡, and Ryszard Horodecki4,§
1Centrum Fizyki Teoretycznej PAN, Al. Lotników 32/46, 02-668 Warszawa, Poland
2Instytut Fizyki im. Smoluchowskiego, Uniwersytet Jagielloński, ul. W/. Reymonta 4, 30-059 Kraków, Poland
3Wydział Fizyki Technicznej i Matematyki Stosowanej, Politechnika Gdańska, ul. G. Narutowicza 11/12, 80-952 Gdańsk, Poland
4Instytut Fizyki Teoretycznej i Astrofizyki, Uniwersytet Gdański, ul. Wita Stwosza 57, 80-952 Gdańsk, Poland

Received 20 September 2000; published 10 December 2001

A model of discrete dynamics of entanglement of a bipartite quantum state is considered. It involves a global unitary dynamics of the system and periodic actions of local bistochastic or decaying channel. For initially pure states the decay of entanglement is accompanied by an increase of von Neumann entropy of the system. We observe and discuss revivals of entanglement due to unitary interaction of subsystems. For some mixed states having different marginal entropies of the subsystems we find an asymmetry in speed of entanglement decay. The entanglement of these states decreases faster, if the depolarizing channel acts on the “classical” subsystem, characterized by smaller marginal entropy.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.012101
DOI:
10.1103/PhysRevA.65.012101
PACS:
03.65.Ta, 03.67.-a

*Electronic address: karol@cft.edu.pl

Electronic address: pawel@mifgate.pg.gda.pl

Electronic address: michalh@iftia.univ.gda.pl

§Electronic address: fizrh@univ.gda.pl