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arXiv · 0810.1456

Hilbert Space Average Method and adiabatic quantum search

A. Perez
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Abstract

We discuss some aspects related to the so-called Hilbert space Average Method, as an alternative to describe the dynamics of open quantum systems. First we present a derivation of the method which does not make use of the algebra satisfied by the operators involved in the dynamics, and extend the method to systems subject to a Hamiltonian that changes with time. Next we examine the performance of the adiabatic quantum search algorithm with a particular model for the environment. We relate our results to the criteria discussed in the literature for the validity of the above-mentioned method for similar environments.

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A. Perez. 2009-01-19. Hilbert Space Average Method and adiabatic quantum search. https://doi.org/10.1103/physreva.79.012314

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