The gradient flow for control of closed quantum systems

Ruixing Long; Gregory Riviello; Herschel Albert Rabitz

doi:10.1109/TAC.2013.2256677

The gradient flow for control of closed quantum systems

Ruixing Long, Gregory Riviello, Herschel Albert Rabitz

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9 Scopus citations

Abstract

The gradient flow is commonly used to numerically solve the problem of maximizing quantum observables for finite dimensional closed quantum systems. In this note, we analyze the asymptotic behavior of the gradient flow. We show that, under a regularity assumption on the controls, the flow almost always converges to a solution of the maximization problem.

Original language	English (US)
Article number	6493400
Pages (from-to)	2665-2669
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	58
Issue number	10
DOIs	https://doi.org/10.1109/TAC.2013.2256677
State	Published - Oct 2 2013

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2013.2256677

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title = "The gradient flow for control of closed quantum systems",

abstract = "The gradient flow is commonly used to numerically solve the problem of maximizing quantum observables for finite dimensional closed quantum systems. In this note, we analyze the asymptotic behavior of the gradient flow. We show that, under a regularity assumption on the controls, the flow almost always converges to a solution of the maximization problem.",

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N2 - The gradient flow is commonly used to numerically solve the problem of maximizing quantum observables for finite dimensional closed quantum systems. In this note, we analyze the asymptotic behavior of the gradient flow. We show that, under a regularity assumption on the controls, the flow almost always converges to a solution of the maximization problem.

AB - The gradient flow is commonly used to numerically solve the problem of maximizing quantum observables for finite dimensional closed quantum systems. In this note, we analyze the asymptotic behavior of the gradient flow. We show that, under a regularity assumption on the controls, the flow almost always converges to a solution of the maximization problem.

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The gradient flow for control of closed quantum systems

Abstract

All Science Journal Classification (ASJC) codes

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