Quantum computation of the Anderson transition in presence of imperfections

Details Quantum computation of the Anderson transition in presence of imperfections Quantum computation of the Anderson transition in presence of imperfections

2003-06-30

arxiv.org/abs/quant-ph/0306203v1

Phys. Rev. A 69, 014302 (2004)

Physics

Quantum Physics

revtex, 4 pages, 4 figures, research at Quantware MIPS Center http://www.quantware.ups-tlse.fr

Scientific paper

10.1103/PhysRevA.69.014302

We propose a quantum algorithm for simulation of the Anderson transition in disordered lattices and study numerically its sensitivity to static imperfections in a quantum computer. In the vicinity of the critical point the algorithm gives a quadratic speedup in computation of diffusion rate and localization length, comparing to the known classical algorithms. We show that the Anderson transition can be detected on quantum computers with $7 - 10$ qubits.

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