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Asymptotic dynamics of qubit networks under randomly applied controlled unitary transformations

Novotný, J. ; Alber, G. ; Jex, I. (2024)
Asymptotic dynamics of qubit networks under randomly applied controlled unitary transformations.
In: New Journal of Physics, 2011, 13 (5)
doi: 10.26083/tuprints-00020564
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Asymptotic dynamics of qubit networks under randomly applied controlled unitary transformations
Language: English
Date: 5 March 2024
Place of Publication: Darmstadt
Year of primary publication: 26 May 2011
Place of primary publication: London
Publisher: IOP Publishing
Journal or Publication Title: New Journal of Physics
Volume of the journal: 13
Issue Number: 5
Collation: 27 Seiten
DOI: 10.26083/tuprints-00020564
Corresponding Links:
Origin: Secondary publication DeepGreen
Abstract:

The asymptotic dynamics of many-qubit quantum systems is investigated under iteratively and randomly applied unitary transformations. For a one-parameter family of unitary transformations, which entangle pairs of qubits, two main theorems are proved. They characterize completely the dependence of the resulting asymptotic dynamics on the topology of the interaction graph that encodes all possible qubit couplings. These theorems exhibit clearly which aspects of an interaction graph are relevant and which ones are irrelevant to the asymptotic dynamics. On the basis of these theorems, the local entropy transport between an open quantum system and its environment are explored for strong non-Markovian couplings and for different sizes of the environment and different interaction topologies. It is shown that although the randomly applied unitary entanglement operations cannot decrease the overall entropy of such a qubit network, a local entropy decrease or ‘cooling’ of subsystems is possible for special classes of interaction topologies.

Identification Number: Artikel-ID: 053052
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-205645
Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics > Institute of Applied Physics
Date Deposited: 05 Mar 2024 10:09
Last Modified: 27 May 2024 08:14
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/20564
PPN: 518574059
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