Broadband geodesic pulses for three spin systems: Time-optimal realization of effective trilinear coupling terms and indirect SWAP gates

Timo O. Reiss; Navin Khaneja; Steffen J. Glaser

doi:10.1016/S1090-7807(03)00245-3

Broadband geodesic pulses for three spin systems: Time-optimal realization of effective trilinear coupling terms and indirect SWAP gates

Timo O. Reiss
, Navin Khaneja
, Steffen J. Glaser

Associate Professorship of Organic Chemistry

Technical University of Munich
The Broad Institute of MIT and Harvard

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

38 Scopus citations

Abstract

Broadband implementations of time-optimal geodesic pulse elements are introduced for the efficient creation of effective trilinear coupling terms for spin systems consisting of three weakly coupled spins 1/2. Based on these pulse elements, the time-optimal implementation of indirect SWAP operations is demonstrated experimentally. The duration of indirect SWAP gates based on broadband geodesic sequence is reduced by 42.3% compared to conventional approaches.

Original language	English
Pages (from-to)	95-101
Number of pages	7
Journal	Journal of Magnetic Resonance
Volume	165
Issue number	1
DOIs	https://doi.org/10.1016/S1090-7807(03)00245-3
State	Published - Nov 2003

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10.1016/S1090-7807(03)00245-3

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title = "Broadband geodesic pulses for three spin systems: Time-optimal realization of effective trilinear coupling terms and indirect SWAP gates",

abstract = "Broadband implementations of time-optimal geodesic pulse elements are introduced for the efficient creation of effective trilinear coupling terms for spin systems consisting of three weakly coupled spins 1/2. Based on these pulse elements, the time-optimal implementation of indirect SWAP operations is demonstrated experimentally. The duration of indirect SWAP gates based on broadband geodesic sequence is reduced by 42.3\% compared to conventional approaches.",

author = "Reiss, \{Timo O.\} and Navin Khaneja and Glaser, \{Steffen J.\}",

note = "Funding Information: This work was supported by the DFG under Grants Gl 203/4-1 and 4-2 and by the Freunde und F{\"o}rderer der TUM. N.K. would like to thank Darpa grant 496020-0101-00556 and NSF Qubic Grant 0218411.",

year = "2003",

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doi = "10.1016/S1090-7807(03)00245-3",

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T1 - Broadband geodesic pulses for three spin systems

T2 - Time-optimal realization of effective trilinear coupling terms and indirect SWAP gates

AU - Reiss, Timo O.

AU - Khaneja, Navin

AU - Glaser, Steffen J.

N1 - Funding Information: This work was supported by the DFG under Grants Gl 203/4-1 and 4-2 and by the Freunde und Förderer der TUM. N.K. would like to thank Darpa grant 496020-0101-00556 and NSF Qubic Grant 0218411.

PY - 2003/11

Y1 - 2003/11

N2 - Broadband implementations of time-optimal geodesic pulse elements are introduced for the efficient creation of effective trilinear coupling terms for spin systems consisting of three weakly coupled spins 1/2. Based on these pulse elements, the time-optimal implementation of indirect SWAP operations is demonstrated experimentally. The duration of indirect SWAP gates based on broadband geodesic sequence is reduced by 42.3% compared to conventional approaches.

AB - Broadband implementations of time-optimal geodesic pulse elements are introduced for the efficient creation of effective trilinear coupling terms for spin systems consisting of three weakly coupled spins 1/2. Based on these pulse elements, the time-optimal implementation of indirect SWAP operations is demonstrated experimentally. The duration of indirect SWAP gates based on broadband geodesic sequence is reduced by 42.3% compared to conventional approaches.

UR - https://www.scopus.com/pages/publications/0142075311

U2 - 10.1016/S1090-7807(03)00245-3

DO - 10.1016/S1090-7807(03)00245-3

M3 - Article

AN - SCOPUS:0142075311

SN - 1090-7807

VL - 165

SP - 95

EP - 101

JO - Journal of Magnetic Resonance

JF - Journal of Magnetic Resonance

IS - 1

ER -

Broadband geodesic pulses for three spin systems: Time-optimal realization of effective trilinear coupling terms and indirect SWAP gates

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