Energy Optimal Interpolation in Quantum Evolution

Details Energy Optimal Interpolation in Quantum Evolution Energy Optimal Interpolation in Quantum Evolution

2008-09-18

arxiv.org/abs/0809.3183v1

Physics

Quantum Physics

8 pages, 0 figures

Scientific paper

We introduce the concept of interpolation in quantum evolution and present a
general framework to find the energy optimal Hamiltonian for a quantum system
evolving among a given set of middle states using variational and geometric
methods. A few special cases are carefully studied. The quantum brachistochrone
problem is proved as a special case.

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