Geometry and Dynamics of Quantum State Diffusion

Physics – Quantum Physics

Scientific paper

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Scientific paper

10.1088/1751-8113/40/22/012

Riemannian metric on real 2n-dimensional space associated with the equation governing complex diffusion of pure states of an open quantum system is introduced and studied. Examples of a qubit under the influence of dephasing and thermal environments are used to show that the curvature of the diffusion metric is a good indicator of the properties of the environment dominated evolution and its stability.

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