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Ober, Raimund J.; Ramakrishna, Viswanath; Ward, E. Sally

doi:10.1023/a:1019117424294

Cited by 8 publications

(1 citation statement)

References 13 publications

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“…This is another reason why the results below may be of interest. Indeed, all arguments for the controllability of finite dimensional quantum systems [11,18,19,20,21,22] hinge on the commutators of the internal Hamiltonian with the control Hamiltonians. Further, these arguments also show that it is possible (non-constructively) to prepare any target via bounded amplitude fields.…”

Section: Introductionmentioning

confidence: 99%

Control of a coupled two-spin system without hard pulses

Ramakrishna

Ober

Flores³

et al. 2002

Phys. Rev. A

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Constructive techniques for controlling a coupled, heteronuclear spin system, via bounded amplitude sinusoidal pulses are presented. The technique prepares exactly any desired unitary generator in a rotating frame, through constant controls. Passage to the original coordinates provides a procedure to prepare arbitrary unitary generators, via bounded amplitude piecewise sinusoidal pulses whose frequency is one of the two Larmor frequencies and whose phase takes one of two values. The techniques are based on a certain Cartan decomposition of SU (4) available in the literature. A method for determining the parameters entering this Cartan decomposition, in terms of the entries of the target unitary generator, is also provided.

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Section: Introductionmentioning

confidence: 99%

Control of a coupled two-spin system without hard pulses

Ramakrishna

Ober

Flores³

et al. 2002

Phys. Rev. A

Self Cite

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Principles and applications of control in quantum systems

Mabuchi

Khaneja

2005

Intl J Robust & Nonlinear

154

122

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SUMMARYWe describe in this article some key themes that emerged during a Caltech/AFOSR Workshop on 'Principles and Applications of Control in Quantum Systems' (PRACQSYS), held 21-24 August 2004 at the California Institute of Technology. This workshop brought together engineers, physicists and applied mathematicians to construct an overview of new challenges that arise when applying constitutive methods of control theory to nanoscale systems whose behaviour is manifestly quantum. Its primary conclusions were that the number of experimentally accessible quantum control systems is steadily growing (with a variety of motivating applications), that appropriate formal perspectives enable straightforward application of the essential ideas of classical control to quantum systems, and that quantum control motivates extensive study of model classes that have previously received scant consideration.

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Control of molecular systems with very few phases

Ramakrishna¹

2001

Chemical Physics

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Cited by 8 publications

References 13 publications

Control of a coupled two-spin system without hard pulses

Control of a coupled two-spin system without hard pulses

Principles and applications of control in quantum systems

Control of molecular systems with very few phases

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