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arXiv quant-ph/01010042001-01-01quant-phcond-matnlin.CD

Quantum Computing of Classical Chaos: Smile of the Arnold-Schrodinger Cat

B. Georgeot, D. L. Shepelyansky

备注：: revtex, 4 pages, 4 figures
发表信息：: Phys. Rev. Lett. v.86 (2001) p.5393
DOI：: 10.1103/PhysRevLett.86.5393

英文摘要：

We show on the example of the Arnold cat map that classical chaotic systems can be simulated with exponential efficiency on a quantum computer. Although classical computer errors grow exponentially with time, the quantum algorithm with moderate imperfections is able to simulate accurately the unstable chaotic classical dynamics for long times. The algorithm can be easily implemented on systems of a few qubits.

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