How to Steer a Quantum System over a Schrödinger Bridge

How to Steer a Quantum System over a Schrödinger Bridge A new approach to the steering problem for the Schrödinger equation relying on stochastic mechanics and on the theory of Schrödinger bridges is presented. Given the initial and final states ψ 0 and ψ 1, respectively, the desired quantum evolution is constructed with the aid of a reference quantum evolution. The Nelson process corresponding to the latter evolution is used as reference process in a Schrödinger bridge problem with marginal probability densities |ψ 0|2 and |ψ 1|2. This approach is illustrated by working out a simple Gaussian example. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

How to Steer a Quantum System over a Schrödinger Bridge

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2002 by Plenum Publishing Corporation
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1023/A:1019873024970
Publisher site
See Article on Publisher Site

Abstract

A new approach to the steering problem for the Schrödinger equation relying on stochastic mechanics and on the theory of Schrödinger bridges is presented. Given the initial and final states ψ 0 and ψ 1, respectively, the desired quantum evolution is constructed with the aid of a reference quantum evolution. The Nelson process corresponding to the latter evolution is used as reference process in a Schrödinger bridge problem with marginal probability densities |ψ 0|2 and |ψ 1|2. This approach is illustrated by working out a simple Gaussian example.

Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 13, 2004

References

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