On optimum Hamiltonians for state transformations

Details On optimum Hamiltonians for state transformations On optimum Hamiltonians for state transformations

2006-01-17

arxiv.org/abs/quant-ph/0601109v1

Journal of Physics A39, L167-L170 (2006)

Physics

Quantum Physics

5 pages

Scientific paper

10.1088/0305-4470/39/11/L02

For a prescribed pair of quantum states |psi_I> and |psi_F> we establish an
elementary derivation of the optimum Hamiltonian, under constraints on its
eigenvalues, that generates the unitary transformation |psi_I> --> |psi_F> in
the shortest duration. The derivation is geometric in character and does not
rely on variational calculus.

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