NMR implementation of Factoring Large Numbers with GaußSums: Suppression of Ghost Factors
arXiv:0803.3396 · doi:10.1209/0295-5075/84/40006
Abstract
Finding the factors of an integer can be achieved by various experimental techniques, based on an algorithm developed by Schleich et al., which uses specific properties of Gaußsums. Experimental limitations usually require truncation of these series, but if the truncation parameter is too small, it is no longer possible to distinguish between factors and so-called "ghost" factors. Here, we discuss two techniques for distinguishing between true factors and ghost factors while keeping the number of terms in the sum constant or only slowly increasing. We experimentally test these modified algorithms in a nuclear spin system, using NMR.
4 pages, 5 figures
References in corpus (5)
- Experimental demonstration of Shor's algorithm with quantum entanglement
- Demonstration of Shor's quantum factoring algorithm using photonic qubits
- 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