Unitary control in quantum ensembles: Maximizing signal intensity in coherent spectroscopy

Science

Volumn 280, Issue 5362, 1998, Pages 421-424

  Glaser, S J ^a   Schulte Herbruggen T ^b   Sieveking O, M ^a   Schedletzky, ^a   Nielsen, N C ^c   Sorensen O W ^d   Griesinger, C ^a  

^a GOETHE UNIVERSITY   (Germany)

^b ETH ZURICH   (Switzerland)

^c AARHUS UNIVERSITY   (Denmark)

^d CARLSBERG LABORATORY   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MATHEMATICAL COMPUTING; MICROWAVE RADIATION; NUCLEAR MAGNETIC RESONANCE; PRIORITY JOURNAL; QUANTUM MECHANICS; SPECTROSCOPY;

EID: 2642714900     PISSN: 00368075     EISSN: None     Source Type: Journal    
DOI: 10.1126/science.280.5362.421     Document Type: Article

References (56)

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29. k)||.
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34. c(A†) is neither convex (7) nor centered at the origin of the complex plane, which is in contrast to cases of spectroscopic interest (compare with Fig. 4). As the operators A and C are represented by 3 X 3 matrices, the corresponding space of unitary operators U is nine-dimensional.
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43. n.
44. 7 random unitary operators requires about 48 hours.
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48. i(C) are the eigenvalues of A† and C, respectively.
49. i(C) are the ordered eigenvalues of A and C, respectively.
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56. We thank J. Jeener and W. S. Warren for helpful discussions. S.J.G. and C.G. acknowledge support by the Fonds der Chemischen Industrie and the Deutsche Forschungsgemeinschaft under grants Gl 203/1-6, Gl 203/2-2, and Gr 1211/6-1. T.S.-H. is indebted to R. R. Ernst for support.