Minimum-time quantum transport with bounded trap velocity

Dionisis Stefanatos; Jr Shin Li

doi:10.1109/TAC.2013.2273296

Minimum-time quantum transport with bounded trap velocity

Dionisis Stefanatos
, Jr Shin Li

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

18 Scopus citations

Abstract

We formulate the problem of efficient transport of a quantum particle trapped in a harmonic potential which can move with a bounded velocity, as a minimum-time problem on a linear system with bounded input. We completely solve the corresponding optimal control problem and obtain an interesting bang-bang solution, where the switching times are obtained from a transcendental equation. These results are expected to find applications in quantum information processing and atom interferometry.

Original language	English
Article number	6558800
Pages (from-to)	733-738
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	59
Issue number	3
DOIs	https://doi.org/10.1109/TAC.2013.2273296
State	Published - Mar 2014

Keywords

Optimal control
quantum control

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10.1109/TAC.2013.2273296

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title = "Minimum-time quantum transport with bounded trap velocity",

abstract = "We formulate the problem of efficient transport of a quantum particle trapped in a harmonic potential which can move with a bounded velocity, as a minimum-time problem on a linear system with bounded input. We completely solve the corresponding optimal control problem and obtain an interesting bang-bang solution, where the switching times are obtained from a transcendental equation. These results are expected to find applications in quantum information processing and atom interferometry.",

keywords = "Optimal control, quantum control",

author = "Dionisis Stefanatos and Li, \{Jr Shin\}",

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AU - Stefanatos, Dionisis

AU - Li, Jr Shin

PY - 2014/3

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N2 - We formulate the problem of efficient transport of a quantum particle trapped in a harmonic potential which can move with a bounded velocity, as a minimum-time problem on a linear system with bounded input. We completely solve the corresponding optimal control problem and obtain an interesting bang-bang solution, where the switching times are obtained from a transcendental equation. These results are expected to find applications in quantum information processing and atom interferometry.

AB - We formulate the problem of efficient transport of a quantum particle trapped in a harmonic potential which can move with a bounded velocity, as a minimum-time problem on a linear system with bounded input. We completely solve the corresponding optimal control problem and obtain an interesting bang-bang solution, where the switching times are obtained from a transcendental equation. These results are expected to find applications in quantum information processing and atom interferometry.

KW - Optimal control

KW - quantum control

UR - https://www.scopus.com/pages/publications/84897742890

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DO - 10.1109/TAC.2013.2273296

M3 - Article

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SP - 733

EP - 738

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 3

M1 - 6558800

ER -

Minimum-time quantum transport with bounded trap velocity

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