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Cited by 449

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The Series Product and Its Application to Quantum Feedforward and Feedback Networks

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Gough, J., James, M.R.·2009·IEEE Transactions on Automatic Control

Abstract

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.

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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

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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
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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

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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.