PMID: 9545217Apr 29, 1998Paper

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

Science
S J GlaserC Griesinger

Abstract

Experiments in coherent magnetic resonance, microwave, and optical spectroscopy control quantum-mechanical ensembles by guiding them from initial states toward target states by unitary transformation. Often, the coherences detected as signals are represented by a non-Hermitian operator. Hence, spectroscopic experiments, such as those used in nuclear magnetic resonance, correspond to unitary transformations between operators that in general are not Hermitian. A gradient-based systematic procedure for optimizing these transformations is described that finds the largest projection of a transformed initial operator onto the target operator and, thus, the maximum spectroscopic signal. This method can also be used in applied mathematics and control theory.

References

Mar 1, 1994·Journal of Biomolecular NMR·J SchleucherC Griesinger
Mar 4, 1997·Proceedings of the National Academy of Sciences of the United States of America·D G CoryT F Havel
Feb 1, 1995·Physical Review. a·V RamakrishnaA Peirce

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Citations

Jun 2, 2005·Journal of Biomolecular NMR·Donghan LeeKonstantin Pervushin
Jun 18, 2003·Journal of Magnetic Resonance·Navin KhanejaSteffen J Glaser
Jun 16, 2006·The Journal of Chemical Physics·Herschel RabitzCarey Rosenthal
Mar 19, 2009·The Journal of Chemical Physics·Michael HsiehHerschel Rabitz
Mar 3, 2010·The Journal of Chemical Physics·Ivan I MaximovNiels Chr Nielsen
Nov 5, 2003·Proceedings of the National Academy of Sciences of the United States of America·Navin KhanejaSteffen J Glaser
Jan 30, 2013·Journal of Magnetic Resonance·Matthias BechmannAngelika Sebald
Oct 16, 2015·Journal of Magnetic Resonance·Malcolm H Levitt
Jul 12, 2011·Progress in Nuclear Magnetic Resonance Spectroscopy·Jonathan A Jones
Oct 12, 2010·Journal of Magnetic Resonance·Troy W BornemanDavid G Cory
Jan 5, 2010·Journal of Magnetic Resonance·Russell R P SenthamaraiKonstantin Pervushin
Jan 3, 2009·Journal of Magnetic Resonance·Zdenek TosnerNiels Chr Nielsen
Dec 14, 2004·Journal of Magnetic Resonance·Konstantin PervushinPhilippe H Hünenberger
Jan 15, 2005·Journal of Magnetic Resonance·Navin KhanejaSteffen J Glaser
Feb 12, 2005·Journal of Magnetic Resonance·Navin KhanejaSteffen J Glaser
Aug 1, 2006·Journal of Magnetic Resonance·Andrew J Benie, Ole W Sørensen
Jan 29, 2000·Journal of Magnetic Resonance·B Luy, S J Glaser
Apr 29, 2006·Journal of Magnetic Resonance·Jorge L NevesSteffen J Glaser
Jan 28, 2014·Journal of Magnetic Resonance·Jeong Hyun ShimKiwoong Kim
May 2, 2016·The Journal of Chemical Physics·S S KöcherS J Glaser
Feb 16, 2002·Journal of Magnetic Resonance·Timo O ReissSteffen J Glaser
Jun 9, 2018·Physical Review Letters·Kartiek AgarwalS L Sondhi
Sep 7, 2017·Nature Communications·Jr-Shin LiSteffen J Glaser
Feb 6, 2019·Physical Review Letters·Alexandre G R DayDries Sels
Jul 6, 2014·Physical Review Letters·D J Egger, F K Wilhelm
Apr 27, 2011·Physical Review Letters·Alexander N Pechen, David J Tannor
Aug 9, 2003·Journal of the American Chemical Society·Konstantin Pervushin, Beat Vögeli
Dec 23, 2010·The Journal of Physical Chemistry. a·Luke A O'Dell, Christopher I Ratcliffe
Dec 26, 2001·Chemical Reviews·Peter G. Vekilov, J. Iwan D. Alexander

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