Hilbert Space Average Method and adiabatic quantum search

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.

6 pages, 1 figure

References in corpus (6)

• Adiabatic approximation in open quantum systems
• Optimal Dynamical Decoherence Control of a Qubit
• Optimal Decoherence Control in non-Markovian Open, Dissipative Quantum Systems
• Decoherence in a scalable adiabatic quantum computer
• The quantum adiabatic search with decoherence in the instantaneous energy eigenbasis
• Non adiabatic quantum search algorithms