The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The Series Product and Its Application to Quantum Feedforward and Feedback Networks
Open accessAbstract
The purpose of this paper is to present simple and general algebraic methods for describing series connections in quantum networks. These methods build on and generalize existing methods for series (or cascade) connections by allowing for more general interfaces, and by introducing an efficient algebraic tool, the series product. We also introduce another product, which we call the concatenation product, that is useful for assembling and representing systems without necessarily having connections. We show how the concatenation and series products can be used to describe feedforward and feedback networks. A selection of examples from the quantum control literature are analyzed to illustrate the utility of our network modeling methodology.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
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
A coherent perceptron for all-optical learning
Tezak, N., & Mabuchi, H. (2015) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-015-0023-3 · Cited by 22
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
Self-citation
Metadata
- Authors
- Gough, J., & James, M. R.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2009-11
- Volume
- 54
- Issue
- 11
- Pages
- 2530-2544
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2119389186
- Cited by
- 449
- References
- 1
- FWCI
- 28.91
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: The Series Product and Its Application to Quantum Feedforward and Feedback Networks. https://app.cochat.ai/papers/10.1109/tac.2009.2031205
- The paper
- Gough, J., & James, M. R. (2009). The Series Product and Its Application to Quantum Feedforward and Feedback Networks. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2009.2031205
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.