Quantum Computing of Poincare Recurrences and Periodic Orbits

Details Quantum Computing of Poincare Recurrences and Periodic Orbits Quantum Computing of Poincare Recurrences and Periodic Orbits

2003-07-31

arxiv.org/abs/quant-ph/0307233v2

Physical Review A 69, 032301 (2004)

Physics

Quantum Physics

revtex, 5 pages, research at Quantware MIPS Center (see http://www.quantware.ups-tlse.fr); minor changes and references added

Scientific paper

10.1103/PhysRevA.69.032301

Quantum algorithms are built enabling to find Poincar\'e recurrence times and
periodic orbits of classical dynamical systems. It is shown that exponential
gain compared to classical algorithms can be reached for a restricted class of
systems. Quadratic gain can be achieved for a larger set of dynamical systems.
The simplest cases can be implemented with small number of qubits.

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