Geodesic
Quantum dynamical entropy and an algorithm by Gene Golub
Electronic transactions on numerical analysis, Tome 28 (2008)
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.
Classification : 65F10, 37M25, 81Q50
Keywords: quantum dynamical entropy, large matrices, Lanczos method, montecarlo techniques 
@article{ETNA_2008__28__a1,
     author = {Mantica,  Giorgio},
     title = {Quantum dynamical entropy and an algorithm by {Gene} {Golub}},
     journal = {Electronic transactions on numerical analysis},
     year = {2008},
     volume = {28},
     zbl = {1188.65035},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__28__a1/}
}
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%0 Journal Article
%A Mantica,  Giorgio
%T Quantum dynamical entropy and an algorithm by Gene Golub
%J Electronic transactions on numerical analysis
%D 2008
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Mantica,  Giorgio. Quantum dynamical entropy and an algorithm by Gene Golub. Electronic transactions on numerical analysis, Tome 28 (2008). http://geodesic.mathdoc.fr/item/ETNA_2008__28__a1/