158 citations · 509 across the 17 of their papers we have counts for
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Time-optimal navigation through quantum wind
Dorje C. Brody, Gary W. Gibbons, David M. Meier
The quantum navigation problem of finding the time-optimal control Hamiltonian that transports a given initial state to a target state through quantum wind, that is, under the infl…
Elementary solution to the time-independent quantum navigation problem
Dorje C. Brody, David M. Meier
A quantum navigation problem concerns the identification of a time-optimal Hamiltonian that realises a required quantum process or task, under the influence of a prevailing `backgr…
Solution to the quantum Zermelo navigation problem
Dorje C. Brody, David Meier
The solution to the problem of finding a time-optimal control Hamiltonian to generate a given unitary gate, in an environment in which there exists an uncontrollable ambient Hamilt…
A jetlet hierarchy for ideal fluid dynamics
C. J. Cotter, D. D. Holm, H. O. Jacobs +1
Truncated Taylor expansions of smooth flow maps are used in Hamilton's principle to derive a multiscale Lagrangian particle representation of ideal fluid dynamics. Numerical simula…