The Series Product and Its Application to Quantum Feedforward and Feedback Networks
arXiv:0707.0048
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.
To appear, IEEE Transactions on Automatic Control, 2009
References in corpus (9)
- Feedback control of quantum state reduction
- All-optical versus electro-optical quantum-limited feedback
- Quantum Continual Measurements and a Posteriori Collapse on CCR
- Linear Quantum Feedback Networks
- Stability, Gain, and Robustness in Quantum Feedback Networks
- Quantum Trajectories for Realistic Detection
- Quantum Stratonovich Stochastic Calculus and the Quantum Wong-Zakai Theorem
- Construction of bilinear control Hamiltonians using the series product and quantum feedback
- Holevo-ordering and the continuous-time limit for open Floquet dynamics