Comment on "Stable Quantum Computation of Unstable Classical Chaos"

Details Comment on "Stable Quantum Computation of Unstable Classical Chaos" Comment on "Stable Quantum Computation of Unstable Classical Chaos"

2001-10-04

arxiv.org/abs/quant-ph/0110026v2

Phys. Rev. Lett. 88 (2002) 219801-(1)

Physics

Quantum Physics

1 page, PRL version + footnote [2] + refs.[3,5]

Scientific paper

10.1103/PhysRevLett.88.219801

I think the title and content of the recent Letter by Georgeot and Shepelyanski [PRL 86, 5393 (2001), also quant-ph/0101004)] are not correct. As long as the classical Arnold map is considered, the classical computational algorithm can be made exactly equivalent with the quantum one. The claimed advantage of the Letter's quantum algorithm disappears if we correctly restrict the statistical analysis for the classical Arnold system.

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