Noise resistance of adiabatic quantum computation using random matrix theory

Details Noise resistance of adiabatic quantum computation using random matrix theory Noise resistance of adiabatic quantum computation using random matrix theory

2004-09-20

arxiv.org/abs/quant-ph/0409127v1

Phys. Rev. A 71, 032330 (2005)

Physics

Quantum Physics

9 pages, 3 figures

Scientific paper

10.1103/PhysRevA.71.032330

Besides the traditional circuit-based model of quantum computation, several quantum algorithms based on a continuous-time Hamiltonian evolution have recently been introduced, including for instance continuous-time quantum walk algorithms as well as adiabatic quantum algorithms. Unfortunately, very little is known today on the behavior of these Hamiltonian algorithms in the presence of noise. Here, we perform a fully analytical study of the resistance to noise of these algorithms using perturbation theory combined with a theoretical noise model based on random matrices drawn from the Gaussian Orthogonal Ensemble, whose elements vary in time and form a stationary random process.

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