An optimum Hamiltonian for non-Hermitian quantum evolution and the complex Bloch sphere

Details An optimum Hamiltonian for non-Hermitian quantum evolution and the complex Bloch sphere An optimum Hamiltonian for non-Hermitian quantum evolution and the complex Bloch sphere

2008-06-28

arxiv.org/abs/0806.4646v1

Physics

Quantum Physics

14 pages, 8 figures

Scientific paper

For a quantum system governed by a non-Hermitian Hamiltonian, we studied the problem of obtaining an optimum Hamiltonian that generates nonunitary transformations of a given initial state into a certain final state in the smallest time $\tau$. The analysis is based on the relationship between the states of the two-dimensional subspace of the Hilbert space spanned by the initial and final states and the points of the two-dimensional complex Bloch sphere.

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