Balaneskovic, Nenad (2016)
Random Unitary Operations and Quantum Darwinism.
Technische Universität Darmstadt
Dissertation, Erstveröffentlichung
Kurzbeschreibung (Abstract)
We study the behavior of Quantum Darwinism (Zurek, Nature Physics 5, 181 - 188 (2009)) within the iterative, random unitary operations qubit-model of pure decoherence (Novotn´y et al, New Jour. Phys. 13, 053052 (2011)). We conclude that Quantum Darwinism, which describes the quantum mechanical evolution of an open system from the point of view of its environment, is not a generic phenomenon, but depends on the specific form of initial states and on the type of system-environment interactions.
Furthermore, we show that within the random unitary model the concept of Quantum Darwinism enables one to explicitly construct and specify artificial initial states of environment that allow to store information about an open system of interest and its pointer-basis with maximal efficiency. Furthermore, we investigate the behavior of Quantum Darwinism after introducing dissipation into the iterative random unitary qubit model with pure decoherence in accord with V. Scarani et al (Phys. Rev. Lett. 88, 097905 (2002)) and reconstruct the corresponding dissipative attractor space. We conclude that in Zurek’s qubit model Quantum Darwinism depends on the order in which pure decoherence and dissipation act upon an initial state of the entire system. We show explicitly that introducing dissipation into the random unitary evolution model in general suppresses Quantum Darwinism (regardless of the order in which decoherence and dissipation are applied) for all positive non-zero values of the dissipation strength parameter, even for those initial state configurations which, in Zurek’s qubit model and in the random unitary model with pure decoherence, would lead to Quantum Darwinism.
Finally, we discuss what happens with Quantum Darwinism after introducing into the iterative random unitary qubit model with pure decoherence (asymmetric) dissipation and dephasing, again in accord with V. Scarani et al (Phys. Rev. Lett. 88, 097905 (2002)), and reconstruct the corresponding dissipative-dephasing attractor space. We conclude that dephasing does not influence the dynamics of quantum systems in Zurek’s qubit model of Quantum Darwinism. Similarly, we see that also within the random unitary evolution dephasing does not alter or influence the (dis-)appearance of Quantum Darwinism: i.e. the random unitary evolution of a quantum state governed by the quantum operation enclosing pure decoherence, dissipation and dephasing is in the asymptotic limit of many iterations significantly determined by the interplay between pure decoherence and dissipation, whereas the dephasing part of the random unitary evolution does not contribute to the corresponding asymptotic attractor space of the random unitary iteration.
Typ des Eintrags: | Dissertation | ||||
---|---|---|---|---|---|
Erschienen: | 2016 | ||||
Autor(en): | Balaneskovic, Nenad | ||||
Art des Eintrags: | Erstveröffentlichung | ||||
Titel: | Random Unitary Operations and Quantum Darwinism | ||||
Sprache: | Englisch | ||||
Referenten: | Alber, Dr.rer.nat Gernot ; Walser, Dr.rer.nat Reinhold | ||||
Publikationsjahr: | Februar 2016 | ||||
Ort: | Darmstadt | ||||
Datum der mündlichen Prüfung: | 1 Februar 2016 | ||||
URL / URN: | http://tuprints.ulb.tu-darmstadt.de/5148 | ||||
Kurzbeschreibung (Abstract): | We study the behavior of Quantum Darwinism (Zurek, Nature Physics 5, 181 - 188 (2009)) within the iterative, random unitary operations qubit-model of pure decoherence (Novotn´y et al, New Jour. Phys. 13, 053052 (2011)). We conclude that Quantum Darwinism, which describes the quantum mechanical evolution of an open system from the point of view of its environment, is not a generic phenomenon, but depends on the specific form of initial states and on the type of system-environment interactions. Furthermore, we show that within the random unitary model the concept of Quantum Darwinism enables one to explicitly construct and specify artificial initial states of environment that allow to store information about an open system of interest and its pointer-basis with maximal efficiency. Furthermore, we investigate the behavior of Quantum Darwinism after introducing dissipation into the iterative random unitary qubit model with pure decoherence in accord with V. Scarani et al (Phys. Rev. Lett. 88, 097905 (2002)) and reconstruct the corresponding dissipative attractor space. We conclude that in Zurek’s qubit model Quantum Darwinism depends on the order in which pure decoherence and dissipation act upon an initial state of the entire system. We show explicitly that introducing dissipation into the random unitary evolution model in general suppresses Quantum Darwinism (regardless of the order in which decoherence and dissipation are applied) for all positive non-zero values of the dissipation strength parameter, even for those initial state configurations which, in Zurek’s qubit model and in the random unitary model with pure decoherence, would lead to Quantum Darwinism. Finally, we discuss what happens with Quantum Darwinism after introducing into the iterative random unitary qubit model with pure decoherence (asymmetric) dissipation and dephasing, again in accord with V. Scarani et al (Phys. Rev. Lett. 88, 097905 (2002)), and reconstruct the corresponding dissipative-dephasing attractor space. We conclude that dephasing does not influence the dynamics of quantum systems in Zurek’s qubit model of Quantum Darwinism. Similarly, we see that also within the random unitary evolution dephasing does not alter or influence the (dis-)appearance of Quantum Darwinism: i.e. the random unitary evolution of a quantum state governed by the quantum operation enclosing pure decoherence, dissipation and dephasing is in the asymptotic limit of many iterations significantly determined by the interplay between pure decoherence and dissipation, whereas the dephasing part of the random unitary evolution does not contribute to the corresponding asymptotic attractor space of the random unitary iteration. |
||||
Alternatives oder übersetztes Abstract: |
|
||||
URN: | urn:nbn:de:tuda-tuprints-51480 | ||||
Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 500 Naturwissenschaften 500 Naturwissenschaften und Mathematik > 530 Physik |
||||
Fachbereich(e)/-gebiet(e): | 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Angewandte Physik |
||||
Hinterlegungsdatum: | 28 Feb 2016 20:55 | ||||
Letzte Änderung: | 28 Feb 2016 20:55 | ||||
PPN: | |||||
Referenten: | Alber, Dr.rer.nat Gernot ; Walser, Dr.rer.nat Reinhold | ||||
Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: | 1 Februar 2016 | ||||
Export: | |||||
Suche nach Titel in: | TUfind oder in Google |
Frage zum Eintrag |
Optionen (nur für Redakteure)
Redaktionelle Details anzeigen |