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Related Experiment Video

Updated: May 19, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Control aspects of quantum computing using pure and mixed states.

Thomas Schulte-Herbrüggen¹, Raimund Marx, Amr Fahmy

¹Department of Chemistry, Technische Universität München, Lichtenbergstrasse 4, 85747 Garching, Germany. tosh@tum.de

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|September 5, 2012

Summary

Quantum control techniques steer quantum dynamics for solving hard problems and advancing quantum technologies. This unified framework covers gate synthesis and state transfer for both pure and mixed quantum states, with broad applications.

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Area of Science:

Quantum physics
Quantum information science
Quantum control theory

Background:

Quantum dynamics control is crucial for quantum simulation, computation, and technology development.
Existing control techniques often focus on pure quantum states, limiting applicability.

Purpose of the Study:

To present a unified framework for quantum control techniques.
To demonstrate the applicability of quantum control to both pure and mixed quantum states.
To highlight diverse applications of quantum control in quantum technologies.

Main Methods:

Review and unification of important quantum control techniques.
Analysis of control strategies for pure state quantum circuits.
Exploitation of ensemble mixtures of quantum states for advanced algorithms.

Main Results:

A unified perspective on quantum control encompassing gate synthesis and spectroscopic state transfer.
Demonstration that quantum control is effective for both pure and mixed quantum states.
Characterization of the Jones polynomial for knot classification using mixed states.

Conclusions:

Quantum control is a versatile tool applicable to a wide range of quantum systems and problems.
The framework facilitates the design of quantum algorithms and the development of quantum technologies.
Future applications span various quantum computing architectures and open quantum system scenarios.