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Quantum computation of the Anderson transition in presence of imperfections

Andrei A. Pomeransky·Dima L. Shepelyansky
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Abstract

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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Andrei A. Pomeransky, Dima L. Shepelyansky. 2003-06-30. Quantum computation of the Anderson transition in presence of imperfections. https://doi.org/10.1103/physreva.69.014302

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