Heteronuclear decoupling by optimal tracking

Journal of Magnetic Resonance - Tập 201 - Trang 7-17 - 2009
Jorge L. Neves1, Björn Heitmann1, Navin Khaneja2, Steffen J. Glaser1
1Department of Chemistry, Technische Universität München, 85747 Garching, Germany
2Division of Applied Sciences Harvard University, Cambridge, MA 02138, USA

Tài liệu tham khảo

Levitt, 1983, Broadband decoupling in high-resolution NMR spectroscopy, Adv. Magn. Reson., 11, 47, 10.1016/B978-0-12-025511-5.50008-6 Shaka, 1987, Broadband spin decoupling in isotropic liquids, Prog. NMR Spectrosc., 19, 47, 10.1016/0079-6565(87)80008-0 Anderson, 1962, Influence of a second radiofrequency field on high-resolution nuclear magnetic resonance spectra, J. Chem. Phys., 37, 85, 10.1063/1.1732980 Ernst, 1966, Nuclear magnetic double resonance with an incoherent radio-frequency field, J. Chem. Phys., 45, 3845, 10.1063/1.1727409 Levitt, 1982, Broadband heteronuclear decoupling, J. Magn. Reson., 47, 328 Waugh, 1982, Theory of broadband spin decoupling, J. Magn. Reson., 50, 30 Shaka, 1983, An improved sequence for broadband decoupling: WALTZ-16, J. Magn. Reson., 52, 335 Shaka, 1985, Computer-optimized decoupling scheme for wideband applications and low-level operation, J. Magn. Reson., 64, 547 Fujiwara, 1988, Composite inversion pulses with frequency switching and their application to broadband decoupling, J. Magn. Reson., 77, 53 Zuiderweg, 1991, Band-selective heteronuclear decoupling using shaped pulses as an aid in measuring long-range heteronuclear coupling constants, J. Magn. Reson., 93, 653 Eggenberger, 1992, Frequency-selective decoupling with recursively expanded soft pulses in multinuclear NMR, J. Magn. Reson., 100, 604 McCoy, 1993, Selective decoupling, J. Magn. Reson. A, 101, 122, 10.1006/jmra.1993.1021 Starcuk, 1994, Heteronuclear broadband spin-flip decoupling with adiabatic pulses, J. Magn. Reson. A, 107, 24, 10.1006/jmra.1994.1043 Bendall, 1995, Broadband and narrowband spin decoupling using adiabatic spin flips, J. Magn. Reson. A, 112, 26, 10.1006/jmra.1995.1021 Skinner, 1995, Peak power and efficiency in hyperbolic secant decoupling, J. Magn. Reson. A, 123, 111, 10.1006/jmra.1996.0220 Kupce, 1996, Optimized adiabatic pulses for wideband spin inversion, J. Magn. Reson. A, 118, 299, 10.1006/jmra.1996.0042 Fu, 1996, Evaluation of adiabatic frequency-modulated schemes for broadband decoupling in isotropic liquids, J. Magn. Reson. A, 119, 129, 10.1006/jmra.1996.0062 Geen, 1996, Theoretical design of amplitude-modulated pulses for spin decoupling in nuclear magnetic resonance, J. Phys. B, 29, 1699, 10.1088/0953-4075/29/9/016 de Graaf, 2005, Theoretical and experimental evaluation of broadband decoupling techniques for in vivo nuclear magnetic resonance spectroscopy, Magn. Reson. Med., 53, 1297, 10.1002/mrm.20507 Levitt, 1982, Supercycles for broadband heteronuclear decoupling, J. Magn. Reson., 50, 157 Tycko, 1990, Iterative methods in the design of pulse sequences for NMR excitation, Adv. Magn. Reson., 15, 10.1016/S1057-2732(13)70005-6 Kotyk, 1990, Improvements in proton-detected NMR spectroscopy using spin-flip decoupling. An application to heteronuclear chemical shift correlation, J. Magn. Reson., 89, 647 Haeberlen, 1976, High resolution NMR in solids: selective averaging, Adv. Magn. Reson. Suppl., 1 Bryson, 1975 Reiss, 2002, Time-optimal coherence-order-selective transfer of in-phase coherence in heteronuclear IS spin systems, J. Magn. Reson., 154, 192, 10.1006/jmre.2001.2480 Khaneja, 2005, Optimal experiments for maximizing coherence transfer between coupled spins, J. Magn. Reson., 173, 116, 10.1016/j.jmr.2004.11.023 Stefanatos, 2004, Optimal control of coupled spins in presence of longitudinal relaxation, Phys. Rev. A, 69, 022319, 10.1103/PhysRevA.69.022319 Früh, 2005, Sensitivity enhancement in NMR of macromolecules by application of optimal control theory, J. Biomol. NMR, 32, 23, 10.1007/s10858-005-3592-0 Khaneja, 2005, Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms, J. Magn. Reson., 172, 296, 10.1016/j.jmr.2004.11.004 Tošner, 2009, Optimal control in NMR spectroscopy: numerical implementation in SIMPSON, J. Magn. Reson., 197, 120, 10.1016/j.jmr.2008.11.020 Skinner, 2004, Reducing the duration of broadband excitation pulses using optimal control with limited rf amplitude, J. Magn. Reson., 167, 68, 10.1016/j.jmr.2003.12.001 Skinner, 2005, Tailoring the optimal control cost function to a desired output: application to minimizing phase errors in short broadband excitation pulses, J. Magn. Reson., 172, 7, 10.1016/j.jmr.2004.09.011 Kobzar, 2004, Exploring the limits of broadband excitation and inversion pulses, J. Magn. Reson., 170, 236, 10.1016/j.jmr.2004.06.017 Kobzar, 2005, Pattern pulses: design of arbitrary excitation profiles as a function of pulse amplitude and offset, J. Magn. Reson., 173, 229, 10.1016/j.jmr.2004.12.005 Skinner, 2006, Optimal control design of constant amplitude phase-modulated pulses: application to calibration-free broadband excitation, J. Magn. Reson., 179, 241, 10.1016/j.jmr.2005.12.010 Neves, 2006, Exploring the limits of polarization transfer efficiency in homonuclear three spin systems, J. Magn. Reson., 181, 126, 10.1016/j.jmr.2006.03.021 Gershenzon, 2007, Optimal control design of excitation pulses that accommodate relaxation, J. Magn. Reson., 188, 330, 10.1016/j.jmr.2007.08.007 Kobzar, 2008, Exploring the limits of excitation and inversion pulses II. RF-power optimized pulses, J. Magn. Reson., 194, 58, 10.1016/j.jmr.2008.05.023 Tošner, 2006, Effective Hamiltonians by optimal control: solid-state NMR double-quantum planar and isotropic dipolar recoupling, J. Chem. Phys., 125, 1, 10.1063/1.2366703 Schulte-Herbrüggen, 2005, Optimal control-based efficient synthesis of building blocks of quantum algorithms seen in perspective from network complexity towards time complexity, Phys. Rev. A, 72, 1, 10.1103/PhysRevA.72.042331 Fisher, 2009, Time-optimal generation of cluster states, Phys. Rev. A, 79, 042304, 10.1103/PhysRevA.79.042304 Brockett, 1970 Hirschorn, 1988, Global output tracking for nonlinear systems, SIAM J. Control Optim., 26, 1321, 10.1137/0326074 Gross, 1993, Inverse quantum-mechanical control: a means for design and a test of intuition, Phys. Rev. A, 47, 4593, 10.1103/PhysRevA.47.4593 Sugawara, 2003, General formulation of locally designed control theory for quantum system, J. Chem. Phys., 118, 6784, 10.1063/1.1559680 Zhu, 2003, Quantum control design via adaptive tracking, J. Chem. Phys., 119, 3619, 10.1063/1.1582847 Wenin, 2006, Optimal control of a single qubit by direct inversion, Phys. Rev. A, 74, 022319, 10.1103/PhysRevA.74.022319 R.W. Brockett, Characteristic phenomena and model problems in nonlinear control, in: Proc. of the 1996 IFAC Congress, vol. G, 1996, pp. 135–140. K. Morgansen, R.W. Brockett, Nonholonomic control based on approximate inversion, in: Proc. of the 1999 American Control Conference, San Diego, CA, 1999, pp. 3515–3519. Ohtsuki, 2004, Generalized monotonically convergent algorithm for solving quantum optimal control problems, J. Chem. Phys., 120, 5509, 10.1063/1.1650297 Serban, 2005, Optimal control of time-dependent targets, Phys. Rev. A, 71, 053810, 10.1103/PhysRevA.71.053810 Werschnik, 2005, Quantum optimal control theory, J. Phys. B At. Mol. Opt. Phys., 40, R175, 10.1088/0953-4075/40/18/R01 Jirari, 2006, Quantum optimal control theory and dynamical coupling in the spin-boson model, Phys. Rev. A, 74, 022306, 10.1103/PhysRevA.74.022306 Palao, 2008, Protecting coherence in optimal control theory: state-dependent constraint approach, Phys. Rev. A, 77, 063412, 10.1103/PhysRevA.77.063412 Ernst, 1987 Skinner, 1999, Exact product operator evolution of weakly coupled spin-1/2 ImSn systems during arbitrary rf irradiation of the I spins, J. Magn. Reson., 141, 271, 10.1006/jmre.1999.1885 Bendall, 2000, Comparison and use of vector and quantum descriptions of J coupled spin evolution during RF irradiation of one spin in an IS spin system, J. Magn. Reson., 143, 329, 10.1006/jmre.1999.1981 Skinner, 2002, J-coupling and chemical-shift evolution during I-spin irradiation of ImSn systems: product operator solutions and applications, Conc. Magn. Reson., 14, 287, 10.1002/cmr.10034 Santos, 2008, Advantages of randomization in coherent quantum dynamical control, New J. Phys., 10, 083009, 10.1088/1367-2630/10/8/083009 Kern, 2005, Controlling quantum systems by embedded dynamical decoupling schemes, Phys. Rev. Lett., 95, 250501, 10.1103/PhysRevLett.95.250501 Santos, 2006, Enhanced convergence and robust performance of randomized dynamical decoupling, Phys. Rev. Lett., 97, 150501, 10.1103/PhysRevLett.97.150501 Viola, 1998, Dynamical suppression of decoherence in two-state quantum systems, Phys. Rev. A, 58, 2733, 10.1103/PhysRevA.58.2733 Khodjasteh, 2005, Fault-tolerant quantum dynamical decoupling, Phys. Rev. Lett., 95, 180501, 10.1103/PhysRevLett.95.180501 Rossini, 2008, Bang–bang control of a qubit coupled to a quantum critical spin bath, Phys. Rev. A, 77, 052112, 10.1103/PhysRevA.77.052112 Shaka, 1987, Three-spin effects in broadband decoupling, J. Magn. Reson., 71, 520 Suter, 1987, Theory of broadband heteronuclear decoupling in multispin systems, J. Magn. Reson., 73, 90