Journal of Physics & Astronomy

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Total Rejection Sampling and the Reduction of the Wave Function


Affiliations
1 Western Digital Corporation, Irvine, CA 92612l, United States
 

We propose an exact new sampling algorithm using classical statistical theory. The proposed method will process an infinite amount of rejected samples in parallel before accepting one exact single sample from a target distribution using a winner-take-all mechanism. The algorithm is applied to sampling from general distributions in addition to sampling from the wave function density distribution which lies at the heart of the measurement problem in quantum physics.

Keywords

Exact sampling; Rejection sampling; Reduction of the wave function; Quantum measurement problem
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  • CPSC 540: Machine Learning

  • An Introduction to MCMC for Machine Learning

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  • Total Rejection Sampling and the Reduction of the Wave Function

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Authors

Noureddine Kermiche
Western Digital Corporation, Irvine, CA 92612l, United States

Abstract


We propose an exact new sampling algorithm using classical statistical theory. The proposed method will process an infinite amount of rejected samples in parallel before accepting one exact single sample from a target distribution using a winner-take-all mechanism. The algorithm is applied to sampling from general distributions in addition to sampling from the wave function density distribution which lies at the heart of the measurement problem in quantum physics.

Keywords


Exact sampling; Rejection sampling; Reduction of the wave function; Quantum measurement problem

References