General formalism of Hamiltonians for realizing a prescribed evolution of a qubit

Details General formalism of Hamiltonians for realizing a prescribed evolution of a qubit General formalism of Hamiltonians for realizing a prescribed evolution of a qubit

2004-06-25

arxiv.org/abs/quant-ph/0406185v1

Phys. Rev. A 68, 062307 (2003)

Physics

Quantum Physics

6 pages

Scientific paper

10.1103/PhysRevA.68.062307

We investigate the inverse problem concerning the evolution of a qubit system, specifically we consider how one can establish the Hamiltonians that account for the evolution of a qubit along a prescribed path in the projected Hilbert space. For a given path, there are infinite Hamiltonians which can realize the same evolution. A general form of the Hamiltonians is constructed in which one may select the desired one for implementing a prescribed evolution. This scheme can be generalized to higher dimensional systems.

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