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

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dc.creatorGough, J.
dc.creatorJames, M. R.
dc.date2007-06-30
dc.date2009-04-09
dc.date.accessioned2026-07-07T13:01:25Z
dc.date.available2026-07-07T13:01:25Z
dc.descriptionThe 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.
dc.descriptionTo appear, IEEE Transactions on Automatic Control, 2009
dc.identifierhttps://arxiv.org/abs/0707.0048
dc.identifierhttp://arxiv.org/abs/0707.0048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226144
dc.subjectQuantum Physics
dc.titleThe Series Product and Its Application to Quantum Feedforward and Feedback Networks
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