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

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

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.

Original language	English
Pages (from-to)	655-665
Number of pages	11
Journal	Optimization Letters
Volume	10
Issue number	4
DOIs	https://doi.org/10.1007/s11590-015-0951-y
Publication status	Published - 1 Apr 2016

Keywords

Approximate dynamic programming
Convex relaxation
Optimal control
Quantum control
Unitary group

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10.1007/s11590-015-0951-y

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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",

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AU - Gaubert, Stéphane

AU - Qu, Zheng

AU - Sridharan, Srinivas

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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

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DO - 10.1007/s11590-015-0951-y

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VL - 10

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JO - Optimization Letters

JF - Optimization Letters

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ER -

Maximizing concave piecewise affine functions on the unitary group

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Keywords

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