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arXiv · 0806.4646

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

Alexander I Nesterov
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Abstract

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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Alexander I Nesterov. 2008-06-28. An optimum Hamiltonian for non-Hermitian quantum evolution and the complex Bloch sphere. https://doi.org/10.1016/j.physleta.2009.08.008

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