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Related Experiment Video

Updated: May 7, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Feynman's clock, a new variational principle, and parallel-in-time quantum dynamics.

Jarrod R McClean¹, John A Parkhill, Alán Aspuru-Guzik

¹Department of Chemistry and Chemical Biology, Harvard University, Cambridge, MA 02138.

Proceedings of the National Academy of Sciences of the United States of America

|September 25, 2013

Summary

We present a new quantum dynamics method using a variational principle. This approach enables parallel quantum simulations and extends many-body theory tools to study molecular systems.

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Area of Science:

Quantum physics
Computational chemistry

Background:

Quantum evolution is typically studied using time-dependent methods.
Existing quantum many-body theory tools are highly developed but often limited to static properties.

Purpose of the Study:

To reformulate quantum evolution as a ground-state eigenvalue problem.
To develop a parallelizable quantum simulation algorithm.
To extend the applicability of ground-state quantum many-body theory to dynamics.

Main Methods:

Introduction of a discrete-time variational principle inspired by Feynman's quantum clock.
Reformulation of quantum evolution as a ground-state eigenvalue problem.
Development of a time-embedded variational principle and an algorithm for parallel quantum simulation.

Main Results:

Demonstrated application to hydrogen molecule and spin dynamics of an inorganic compound.
Showcased parallel speedup and flexibility of the method.
Provided a new perspective for analyzing basis approximation errors in quantum dynamics.

Conclusions:

The developed variational principle effectively bridges quantum many-body theory and quantum dynamics.
The method offers a novel approach for efficient and parallelized quantum simulations.
This work opens new avenues for studying complex quantum systems and their dynamics.