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Linear Approximation in Time Domain

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Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
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Linear Approximation in Frequency Domain

Linear Approximation in Frequency Domain

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Feedback control systems

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Updated: Jun 14, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Non-Gaussian state generation from linear elements via feedback.

Masahiro Yanagisawa¹

¹Department of Engineering, The Australian National University, Canberra ACT 0200, Australia.

Physical Review Letters

|April 7, 2010

Summary

This study introduces a novel multiplicative feedback control for generating quantum non-Gaussian states using linear optics. This method enables deterministic creation of quantum superposition states, advancing quantum technology.

Related Experiment Videos

Last Updated: Jun 14, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Quantum Optics
Quantum Information Science

Background:

Traditional methods for generating quantum states often rely on additive control.
Deterministic generation of quantum superposition states remains a challenge in quantum optics.

Purpose of the Study:

To present a novel feedback scheme for producing quantum non-Gaussian states.
To enable the deterministic generation of quantum superposition states using linear optical elements.

Main Methods:

Implementation of a multiplicative feedback control strategy.
Utilizing quantum nondemolition measurement of a quadrature.
Employing a multifeedback structure and Lyapunov stability for control design.

Main Results:

Demonstration of a feedback scheme capable of producing quantum non-Gaussian states.
Successful deterministic generation of quantum superposition states.

Conclusions:

The proposed multiplicative feedback control offers an effective alternative to additive methods.
This scheme advances the capability for deterministic generation of crucial quantum states for quantum information processing.