Trapped modes in linear quantum stochastic networks with delays

@article{Tabak2015TrappedMI,
  title={Trapped modes in linear quantum stochastic networks with delays},
  author={Gil Tabak and Hideo Mabuchi},
  journal={EPJ Quantum Technology},
  year={2015},
  volume={3},
  pages={1-28}
}
Networks of open quantum systems with feedback have become an active area of research for applications such as quantum control, quantum communication and coherent information processing. A canonical formalism for the interconnection of open quantum systems using quantum stochastic differential equations (QSDEs) has been developed by Gough, James and co-workers and has been used to develop practical modeling approaches for complex quantum optical, microwave and optomechanical circuits/networks… 

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References

SHOWING 1-10 OF 27 REFERENCES

Quantum Feedback Networks: Hamiltonian Formulation

TLDR
The model is non-Markovian for finite time delays, but in the limit where these delays vanish the model is recovered a Markov model and the rules for introducing feedback into arbitrary quantum networks are deduced.

Quantum Linear Systems Theory

TLDR
This paper discusses recent results concerning the synthesis of H-infinity optimal controllers for linear quantum systems in the coherent control case, and discusses the issue of physical realizability.

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

TLDR
A quantum optical closed-loop, including a plant and controller, is developed and its fundamental structural properties are analyzed extensively from a purely quantum mechanical point of view, in order to facilitate the use of control theory in microscopic world described by quantum theory.

Photonic Circuits with Time Delays and Quantum Feedback.

TLDR
A matrix product state approach is developed to solve the quantum stochastic Schrödinger equation with time delays, which accounts in an efficient way for the entanglement of nodes with the stream of emitted photons in the waveguide, and thus the non-Markovian character of the dynamics.

Photonic Quantum Circuits with Time Delays

We study the dynamics of photonic quantum circuits consisting of nodes coupled by quantum channels. We are interested in the regime where time delay in communication between the nodes is significant.

A Frequency Domain Condition for the Physical Realizability of Linear Quantum Systems

TLDR
Under suitable assumptions, the paper shows that the question of physical realizability is equivalent to a frequency domain (J,J) -unitary condition, which is important in controller synthesis since it is the transfer function matrix of the controller which determines the closed loop system behavior.

Quantum feedback networks and control: A brief survey

TLDR
A brief review of some recent developments in quantum feedback networks and control is provided, primarily in the context of open linear quantum stochastic systems.

Systems identification for passive linear quantum systems: The transfer function approach

TLDR
It is shown that systems satisfying a certain Hamiltonian connectivity condition called “infecting”, are completely identifiable, and a canonical parametrization of the equivalence classes of indistinguishable systems is provided.

Analysis of Linear Quantum Optical Networks

TLDR
This paper provides a systematic approach to the construction a model for a given quantum network in terms of a system of quantum stochastic differential equations that corresponds to a classical state space model.

Squeezing Components in Linear Quantum Feedback Networks

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