Transfer function approach to quantum control- part I: dynamics of quantum feedback systems

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

“…Series (also called cascade) connections of quantum optical components were first considered in the papers [6], [3], and certain linear feedback networks were considered in [26]. Our results extend the series connection results in these works by including more general interfaces, and by introducing an efficient algebraic tool, the series product.…”

“…The series connection has an algebraic character, and can be regarded as a product, G = G 2 ⊳ G 1 . Because of new imperatives concerning quantum network analysis and design, in particular, quantum feedback control, [24], [25], [18], [23], [26], [4], [17], [12] the purpose of this paper is to present simple and general algebraic methods for describing series connections in quantum networks. The types of quantum networks we consider include those arising in quantum optics, such as the optical network shown in Figure 2.…”

“…[24], [25], [23], [26], [17], [12], [13]. To illustrate the power and utility of our quantum network modeling methodology, we analyze several examples from this literature.…”

Principles and applications of quantum control engineering

“…We illustrate (figure 9) briefly the role of beam-splitter feedback, originally introduced for linear models in Yanagisawa & Kimura [22,23]. This is a special case of the more general problem of feedback reduction described in Gough & James [24].…”

Linear quantum feedback networks

“…These linear equations are amenable to Laplace transform techniques [3], [4]. We define for Re s > 0Ĉ…”