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This chapter presents the quantum Monte Carlo algorithm for statistical sampling and expectation value estimation. A derivation of the procedure is provided, and the final result is connected to quantum amplitude estimation to demonstrate a quadratic speedup in sample complexity over any classical Monte Carlo method.

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Quantum Monte Carlo

  • 章节

  • 发表日期：

    2026年

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  • Osama M. Raisuddin,
  • Suvranu De

摘要

This chapter presents the quantum Monte Carlo algorithm for statistical sampling and expectation value estimation. A derivation of the procedure is provided, and the final result is connected to quantum amplitude estimation to demonstrate a quadratic speedup in sample complexity over any classical Monte Carlo method.