Squeezing Components in Linear Quantum Feedback Networks

By John Edward Gough, Matthew R. James, Hendra Ishwara Nurdin. 2009

168 citations recorded by the source corpus.

The aim of this article is to extend linear quantum dynamical network theory to include static Bogoliubov components (such as squeezers). Within this integrated quantum network theory, we provide general methods for cascade or series connections, as well as feedback interconnections using linear fractional transformations. In addition, we define input-output maps and transfer functions for representing components and describing convergence. We also discuss the underlying group structure in this theory arising from series interconnection. Several examples illustrate the theory.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/8af29a4bd4d3a8551a6a212386f8f56e7d2bddeb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Franco Nori
2. Yu-xi Liu
3. Jing Zhang
4. Kurt Jacobs
5. Re-Bing Wu
6. Sahel Ashhab
7. J. You
8. I. Georgescu

In Atomic and Molecular Physics, and Optics

1. Yu-xi Liu
2. Franco Nori
3. Jing Zhang
4. Re-Bing Wu
5. Kurt Jacobs
6. Sahel Ashhab
7. J. You
8. I. Georgescu

Citations in the corpus

• Quantum feedback: theory, experiments, and applications (2014, background): “In frequency space, a static model of a quantum amplifier is simply a Bogoliubov transformation [350].”
• LQG/H∞ control of linear quantum stochastic systems (2015, unknown): “We follow the notation used in [13].”