Entanglement and Entropy Rates in Open Quantum Systems

Alexandra M. Liguori

Department of Theoretical Physics, University of TriesteInstitut fur Theoretische Physik, Universitat Ulm

”Quantum Coherence and Decoherence”, Benasque, 11th September 2010

A. Liguori Entanglement and Entropy Rates in Open Quantum Systems

Dynamics of quantum systems innoisy environments

entropy rate (time derivative ofrelative entropy)

thermodynamically the mostefficient processes entropyrate = 0⇒ AIM: minimize entropyproduction

Entanglement of quantum systems in noisyenvironments

entanglement rate (time derivative ofthe relative entropy of entanglement)

computational speed-up throughentanglement⇔ indicator ofcomputational efficiency =entanglement rate⇒ AIM: maximizeentanglement production

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IDEA:

Study entanglement production and compare entanglement and entropy rates inopen quantum systems.

A. Liguori Entanglement and Entropy Rates in Open Quantum Systems

Previous work

CONJECTURE:

For non-driven systems immersed in an external bath the entanglement rate isalways bounded by the entropy rate.

A. Liguori Entanglement and Entropy Rates in Open Quantum Systems

Our results

NEW CONJECTURE:

For non-driven systems immersed in an external bath

SEPARABLE asymptotic state of dynamics⇒ entanglement rate boundedby entropy rate

ENTANGLED asymptotic state⇒ entanglement rate NOT bounded byentropy rate.

A. Liguori Entanglement and Entropy Rates in Open Quantum Systems