Complex Chaos in the Conditional Dynamics of Qubits

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F06%3A04121605" target="_blank" >RIV/68407700:21340/06:04121605 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Complex Chaos in the Conditional Dynamics of Qubits
Original language description
We analyze the consequences of iterative measurement-induced nonlinearity on the dynamical behavior of qubits. We present a one-qubit scheme where the equation governing the time evolution is a complex-valued nonlinear map with one complex parameter. Incontrast to the usual notion of quantum chaos, exponential sensitivity to the initial state occurs here. We calculate analytically the Lyapunov exponent based on the overlap of quantum states, and find that it is positive. We present a few illustrative examples of the emerging dynamics.
Czech name
Komplexní chaos v podmíněné dynamice qubitů
Czech description
Analyzujeme dusledky nelinearity indukovane merenim na dynamiku qubitu. Studujeme schema pro jeden qbit, ktery je popsan komplexnim zobrazenim s jednim komplexnim parametrem a ukazeme, ze existuje exponecialni citlivost vuci pocatecnim podminkam. Analyticky vycislime Ljapunovske exponenty. Nekolik ilustrativnich pripadu dynamiky je okomentovano.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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