Exponential Gain in Quantum Computing of Quantum Chaos and Localization

Details Exponential Gain in Quantum Computing of Quantum Chaos and Localization Exponential Gain in Quantum Computing of Quantum Chaos and Localization

2000-10-02

arxiv.org/abs/quant-ph/0010005v2

Phys. Rev. Lett. v. 86 (2001) p. 2890

Physics

Quantum Physics

final published version

Scientific paper

10.1103/PhysRevLett.86.2890

We present a quantum algorithm which simulates the quantum kicked rotator model exponentially faster than classical algorithms. This shows that important physical problems of quantum chaos, localization and Anderson transition can be modelled efficiently on a quantum computer. We also show that a similar algorithm simulates efficiently classical chaos in certain area-preserving maps.

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