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Total Rejection Sampling and the Reduction of the Wave Function

Author(s): Noureddine Kermiche

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.

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