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In this paper, we study the design of pulse sequences for NMR spectroscopy as a problem of time optimal control of the unitary propagator. Radio frequency pulses are used in coherent spectroscopy to implement a unitary transfer of state. Pulse sequences that accomplish a desired transfer should be as short as possible in order to minimize the effects of… (More)

- Navin Khaneja, Timo O. Reiss, Cindie T Kehlet, Thomas Schulte-Herbrüggen, Steffen J. Glaser
- Journal of magnetic resonance
- 2005

In this paper, we introduce optimal control algorithm for the design of pulse sequences in NMR spectroscopy. This methodology is used for designing pulse sequences that maximize the coherence transfer between coupled spins in a given specified time, minimize the relaxation effects in a given coherence transfer step or minimize the time required to produce a… (More)

- Jr-Shin Li, Navin Khaneja
- IEEE Trans. Automat. Contr.
- 2009

- Jr-Shin Li, Navin Khaneja
- 2006

Finding control fields pulse sequences that can compensate for the dispersion in the parameters governing the evolution of a quantum system is an important problem in coherent spectroscopy and quantum information processing. The use of composite pulses for compensating dispersion in system dynamics is widely known and applied. In this paper, we make… (More)

- Navin Khaneja, Burkhard Luy, Steffen J. Glaser
- Proceedings of the National Academy of Sciences…
- 2003

Relaxation effects impose fundamental limitations on our ability to coherently control quantum mechanical phenomena. In this article, we use principles of optimal control theory to establish physical limits on how closely a quantum mechanical system can be steered to a desired target state in the presence of relaxation. In particular, we explicitly compute… (More)

In this thesis, we study a class of control problems which involves controlling a large number of dynamical systems with different values of parameters governing the system dynamics by using the same control signal. We call such problems control of inhomogeneous ensembles. The motivation for looking into these problems comes from the manipulation of an… (More)

Radio-frequency pulses are used in nuclear-magnetic-resonance spectroscopy to produce unitary transfer of states. Pulse sequences that accomplish a desired transfer should be as short as possible in order to minimize the effects of relaxation, and to optimize the sensitivity of the experiments. Many coherence-transfer experiments in NMR, involving a network… (More)

- T. E. Skinner, Timo O. Reiss, Burkhard Luy, Navin Khaneja, Steffen J. Glaser
- Journal of magnetic resonance
- 2004

Combining optimal control theory with a new RF limiting step produces pulses with significantly reduced duration and improved performance for a given maximum RF amplitude compared to previous broadband excitation by optimized pulses (BEBOP). The resulting pulses tolerate variations in RF homogeneity relevant for standard high-resolution NMR probes. Design… (More)

- T. E. Skinner, Kyryl Kobzar, +4 authors Steffen J. Glaser
- Journal of magnetic resonance
- 2006

An optimal control algorithm for generating purely phase-modulated pulses is derived. The methodology is applied to obtain broadband excitation with unprecedented tolerance to RF inhomogeneity. Design criteria were transformation of Iz-->Ix over resonance offsets of +/-25 kHz for constant RF amplitude anywhere in the range 10-20 kHz, with a pulse length of… (More)

- Navin Khaneja, Timo O. Reiss, Burkhard Luy, Steffen J. Glaser
- Journal of magnetic resonance
- 2003

Experiments in coherent spectroscopy correspond to control of quantum mechanical ensembles guiding them from initial to final target states. The control inputs (pulse sequences) that accomplish these transformations should be designed to minimize the effects of relaxation and to optimize the sensitivity of the experiments. For example in nuclear magnetic… (More)