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Title: Quantum splines
Authors: Brody, DC
Holm, DD
Meier, DM
Keywords: Science & Technology;Physical Sciences;Physics, Multidisciplinary;Physics;States
Issue Date: 2012
Publisher: American Physical Society
Citation: Physical Review Letters, 109, 100501, 2012
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 e cient numerical scheme for computing quantum splines is discussed and implemented in the examples.
ISSN: 0031-9007
Appears in Collections:Publications
Dept of Mathematics Research Papers
Mathematical Sciences

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