Explicit-duration Hidden Markov Models for quantum state estimation

An explicit-duration Hidden Markov Model with a nonparametric kernel estimator of the state duration distribution is specified. The motivation comes from the physical problem of extracting the maximum information from an open quantum system subject to an external perturbation, which induces a change...

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Vydáno v:Computational statistics & data analysis Ročník 158; s. 107183
Hlavní autoři: Luati, Alessandra, Novelli, Marco
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.06.2021
Témata:
algorithms
data analysis
Forward–backward algorithm
Hidden Markov Models
Kernel estimation
Markov chain
Monte Carlo method
motivation
Quantum statistics
Viterbi algorithm
Kernel estimation
Viterbi algorithm
Hidden Markov Models
Forward–backward algorithm
Quantum statistics
ISSN:0167-9473, 1872-7352
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Shrnutí:An explicit-duration Hidden Markov Model with a nonparametric kernel estimator of the state duration distribution is specified. The motivation comes from the physical problem of extracting the maximum information from an open quantum system subject to an external perturbation, which induces a change in the dynamics of the system. A nonparametric kernel estimator for discrete data is introduced, which is consistent and improves the estimates accuracy in presence of sparse data. To reconstruct the hidden dynamics, a Viterbi algorithm is used, which is robust against the underflow problem. Finite sample properties are investigated through an extensive Monte Carlo study showing that our formulation outperforms the original one both in small and in large samples.
Bibliografie:ObjectType-Article-1
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ISSN:0167-9473
1872-7352
DOI:10.1016/j.csda.2021.107183