Mathematical Physics

    

A Solution to the Sign Problem Using a Sum of Controlled Few-Fermions

Authors: David H. Wei

A restricted path integral method is proposed to simulate a type of quantum system or Hamiltonian called a sum of controlled few-fermions on a classical computer using Monte Carlo without a numerical sign problem. Then a universality is proven to assert that any bounded-error quantum polynomial time (BQP) algorithm can be encoded into a sum of controlled few-fermions and simulated efficiently using classical Monte Carlo. Therefore, BQP is precisely the same as the class of bounded-error probabilistic polynomial time (BPP), namely, BPP = BQP.

Comments: 17 pages, 3 figures

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Submission history

[v1] 2022-06-09 04:21:45
[v2] 2023-05-15 07:36:21

Unique-IP document downloads: 229 times

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