The gradient flow for control of closed quantum systems

Ruixing Long; Gregory Riviello; Herschel Rabitz

doi:10.1109/TAC.2013.2256677

The gradient flow for control of closed quantum systems

Ruixing Long
, Gregory Riviello
, Herschel Rabitz

Research output: Contribution to journal › Article › peer-review

10 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 - 2013

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Keywords

Liouville-von Neumann equation
quantum control

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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.",

keywords = "Liouville-von Neumann equation, quantum control",

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T1 - The gradient flow for control of closed quantum systems

AU - Long, Ruixing

AU - Riviello, Gregory

AU - Rabitz, Herschel

PY - 2013

Y1 - 2013

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.

KW - Liouville-von Neumann equation

KW - quantum control

UR - https://www.scopus.com/pages/publications/84884678800

UR - https://www.scopus.com/pages/publications/84884678800#tab=citedBy

U2 - 10.1109/TAC.2013.2256677

DO - 10.1109/TAC.2013.2256677

M3 - Article

AN - SCOPUS:84884678800

SN - 0018-9286

VL - 58

SP - 2665

EP - 2669

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 10

M1 - 6493400

ER -

The gradient flow for control of closed quantum systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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