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quant-phJul 10, 2008
14
citations (OpenAlex)
authors
  • Jonathan A. Jones
institutions
  • University of Oxford
arXiv abstractPDF
paper

NMR implementations of Gauss sums

arXiv:0807.1608 · doi:10.1016/j.physleta.2008.07.019

Abstract

I describe the use of NMR experiments which implement Gauss sums as a method for factoring numbers and discuss whether this approach can be computationally useful.

Physics Letters A in press. 4 pages elsart, no figures. Follow up to e-print arXiv:0704.2065

References in corpus (6)

  • NMR experiment factors numbers with Gauss sums
  • Factorization of Numbers with the temporal Talbot effect: Optical implementation by a sequence of shaped ultrashort pulses
  • Gauss sum factorization with cold atoms
  • Factorizing Numbers with the Gauss Sum Technique: NMR Implementations
  • NMR implementation of Factoring Large Numbers with GaußSums: Suppression of Ghost Factors
  • Comment on "NMR Experiment Factors Numbers with Gauss Sums"

Cited by in corpus (6)

  • Quantum Computing with NMR
  • Factoring numbers with a single interferogram
  • Factorization of numbers with Gauss sums: I. Mathematical background
  • New factorization algorithm based on a continuous representation of truncated Gauss sums
  • Factorizing numbers with classical interference: several implementations in optics
  • Factorization of numbers with truncated Gauss sums at rational arguments
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