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Rigorous Statements and Proofs of the Lemmas in Simon's Algorithm for the Dihedral Coset Problem and Their Underlying Hypothesis

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Key Insights

  • In a recent preprint, Simon proposed a polynomial-time quantum algorithm for the Dihedral Coset Problem and rested the analysis on four lemmas.
  • Three of them carry only proof sketches, and this paper.
Cite this synthesis DOI: 10.48550/arXiv.2608.16598 ↗
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@misc{ acaciacompliance-research-rigorous-statements-and-proofs-of-the-lemmas-in-simons-algor,
  title = { Rigorous Statements and Proofs of the Lemmas in Simon's Algorithm for the Dihedral Coset Problem and Their Underlying Hypothesis },
  author = { Leszek },
  year = { 2026 },
  doi = { 10.48550/arXiv.2608.16598 },
  url = { http://arxiv.org/abs/2608.16598v1 },
  note = {Summarized and classified by AcaciaFund}
}
TY  - GEN
TI  - Rigorous Statements and Proofs of the Lemmas in Simon's Algorithm for the Dihedral Coset Problem and Their Underlying Hypothesis
AU  - Leszek
PY  - 2026
DO  - 10.48550/arXiv.2608.16598
UR  - http://arxiv.org/abs/2608.16598v1
ER  -

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Overview

In a recent preprint, Simon proposed a polynomial-time quantum algorithm for the Dihedral Coset Problem and rested the analysis on four lemmas. Three of them carry only proof sketches, and this paper

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This item adds to the AML and compliance knowledge base. Practitioners can use it to stay current on Rigorous Statements and Proofs of the Lemmas in Simon's Algorithm for the Dihedral Coset Problem and Their Underlying Hypothesis, but should validate its claims against primary sources and more recent work before relying on it in production decisions.

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SQI 0.750

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