Maximizing concave piecewise affine functions on the unitary group

Stéphane Gaubert; Zheng Qu; Srinivas Sridharan

doi:10.1007/s11590-015-0951-y

Maximizing concave piecewise affine functions on the unitary group

Stéphane Gaubert
, Zheng Qu
, Srinivas Sridharan

University of Hong Kong
University of Sussex

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We show that a convex relaxation, introduced by Sridharan, McEneaney, Gu and James to approximate the value function of an optimal control problem arising from quantum gate synthesis, is exact. This relaxation applies to the maximization of a class of concave piecewise affine functions over the unitary group.

langue originale	Anglais
Pages (de - à)	655-665
Nombre de pages	11
journal	Optimization Letters
Volume	10
Numéro de publication	4
Les DOIs	https://doi.org/10.1007/s11590-015-0951-y
état	Publié - 1 avr. 2016

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title = "Maximizing concave piecewise affine functions on the unitary group",

abstract = "We show that a convex relaxation, introduced by Sridharan, McEneaney, Gu and James to approximate the value function of an optimal control problem arising from quantum gate synthesis, is exact. This relaxation applies to the maximization of a class of concave piecewise affine functions over the unitary group.",

keywords = "Approximate dynamic programming, Convex relaxation, Optimal control, Quantum control, Unitary group",

author = "St{\'e}phane Gaubert and Zheng Qu and Srinivas Sridharan",

note = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Berlin Heidelberg.",

year = "2016",

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doi = "10.1007/s11590-015-0951-y",

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T1 - Maximizing concave piecewise affine functions on the unitary group

AU - Gaubert, Stéphane

AU - Qu, Zheng

AU - Sridharan, Srinivas

PY - 2016/4/1

Y1 - 2016/4/1

N2 - We show that a convex relaxation, introduced by Sridharan, McEneaney, Gu and James to approximate the value function of an optimal control problem arising from quantum gate synthesis, is exact. This relaxation applies to the maximization of a class of concave piecewise affine functions over the unitary group.

AB - We show that a convex relaxation, introduced by Sridharan, McEneaney, Gu and James to approximate the value function of an optimal control problem arising from quantum gate synthesis, is exact. This relaxation applies to the maximization of a class of concave piecewise affine functions over the unitary group.

KW - Approximate dynamic programming

KW - Convex relaxation

KW - Optimal control

KW - Quantum control

KW - Unitary group

U2 - 10.1007/s11590-015-0951-y

DO - 10.1007/s11590-015-0951-y

M3 - Article

AN - SCOPUS:84944711793

SN - 1862-4472

VL - 10

SP - 655

EP - 665

JO - Optimization Letters

JF - Optimization Letters

IS - 4

ER -

Maximizing concave piecewise affine functions on the unitary group

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