The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
An Introduction to Quantum Filtering
Open accessAbstract
This paper provides an introduction to quantum filtering theory. An introduction to quantum probability theory is given, focusing on the spectral theorem and the conditional expectation as a least squares estimate, and culminating in the construction of Wiener and Poisson processes on the Fock space. We describe the quantum Itô calculus and its use in the modeling of physical systems. We use both reference probability and innovations methods to obtain quantum filtering equations for system-probe models from quantum optics.
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Citations
Cites
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548 · cited 1×
“where the so-called Lindblad generator [48] is given by”
Cited by
Quantum control theory and applications: a survey
Dong, D., & Petersen, I. R. (2010) · IET Control Theory & Applications · doi:10.1049/iet-cta.2009.0508 · Cited by 601
Quantum feedback: Theory, experiments, and applications
Zhang, J., Liu, Y.-X., Wu, R.-B., Jacobs, K., & Nori, F. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.02.003 · Cited by 272
Arbitrary quantum control of qubits in the presence of universal noise
Green, T. J., Sastrawan, J., Uys, H., & Biercuk, M. J. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/9/095004 · Cited by 143
Quantum filter for a non-Markovian single qubit system
Xue, S., James, M. R., Shabani, A., Ugrinovskii, V., & Petersen, I. R. (2015) · 2015 IEEE Conference on Control Applications (CCA) · doi:10.1109/cca.2015.7320609 · Cited by 6
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Metadata
- Authors
- Bouten, L., Van Handel, R., & James, M. R.
- Venue
- SIAM Journal on Control and Optimization
- Published
- 2007-01
- Volume
- 46
- Issue
- 6
- Pages
- 2199-2241
- ISSN
- 0363-0129 (ISSN-L)
- 1095-7138
- OpenAlex
- W2097876164
- Cited by
- 497
- References
- 1
- FWCI
- 17.11
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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