Quantum splines
Quantum Physics
2012-09-05 v3 Mathematical Physics
Dynamical Systems
math.MP
Abstract
A quantum spline is a smooth curve parameterised by time in the space of unitary transformations, whose associated orbit on the space of pure states traverses a designated set of quantum states at designated times, such that the trace norm of the time rate of change of the associated Hamiltonian is minimised. The solution to the quantum spline problem is obtained, and is applied in an example that illustrates quantum control of coherent states. An efficient numerical scheme for computing quantum splines is discussed and implemented in the examples.
Cite
@article{arxiv.1206.2675,
title = {Quantum splines},
author = {Dorje C. Brody and Darryl D. Holm and David M. Meier},
journal= {arXiv preprint arXiv:1206.2675},
year = {2012}
}
Comments
Published version: 5 pages, 3 figures