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

John Edward Gough, Matthew R. James

Research output: Contribution to journalArticlepeer-review

351 Citations (Scopus)
126 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)2530-2544
Number of pages15
JournalIEEE Transactions on Automatic Control
Volume54
Issue number11
DOIs
Publication statusPublished - 13 Oct 2009

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