From Monte Carlo to Quantum Computation

Details From Monte Carlo to Quantum Computation From Monte Carlo to Quantum Computation

2001-12-23

arxiv.org/abs/quant-ph/0112152v1

Physics

Quantum Physics

Paper submitted to the Proceedings of the 3rd IMACS Seminar on Monte Carlo Methods MCM2001, Salzburg. 15 pages

Scientific paper

Quantum computing was so far mainly concerned with discrete problems. Recently, E. Novak and the author studied quantum algorithms for high dimensional integration and dealt with the question, which advantages quantum computing can bring over classical deterministic or randomized methods for this type of problem. In this paper we give a short introduction to the basic ideas of quantum computing and survey recent results on high dimensional integration. We discuss connections to the Monte Carlo methology and compare the optimal error rates of quantum algorithms to those of classical deterministic and randomized algorithms.

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