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EnglishThe problem of computing the quantum dynamical entropy introduced by Alicki and Fannes requires the trace of the operator function $F(\Omega) = - \Omega \log \Omega$, where $\Omega$ is a non-negative, Hermitean operator. Physical significance demands that this operator be a matrix of large order. We study its properties and we derive efficient algorithms to solve this problem, also implementable on parallel machines with distributed memory. We rely on a Lanczos technique for large matrix computations developed by Gene Golub.
http://hdl.handle.net/11383/10435| Titolo: | Quantum dynamical entropy and an algorithm by Gene Golub |
| Autori interni: | MANTICA, GIORGIO DOMENICO PIO |
| Data di pubblicazione: | 2008 |
| Rivista: | ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS |
| Abstract: | The problem of computing the quantum dynamical entropy introduced by Alicki and Fannes requires the trace of the operator function $F(\Omega) = - \Omega \log \Omega$, where $\Omega$ is a non-negative, Hermitean operator. Physical significance demands that this operator be a matrix of large order. We study its properties and we derive efficient algorithms to solve this problem, also implementable on parallel machines with distributed memory. We rely on a Lanczos technique for large matrix computations developed by Gene Golub. |
| Handle: | http://hdl.handle.net/11383/10435 |
| Appare nelle tipologie: | Articolo su Rivista |
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