Gauss sum factorization with cold atoms

Abstract

We report the first implementation of a Gauss sum factorization algorithm by an internal state Ramsey interferometer using cold atoms. A sequence of appropriately designed light pulses interacts with an ensemble of cold rubidium atoms. The final population in the involved atomic levels determines a Gauss sum. With this technique we factor the number N=263193.

4 pages, 5 figures

References in corpus (3)

• 6-axis inertial sensor using cold-atom interferometry
• Experimental demonstration of Shor's algorithm with quantum entanglement
• Factorizing Numbers with the Gauss Sum Technique: NMR Implementations

Cited by in corpus (5)

• Factorization of Numbers with the temporal Talbot effect: Optical implementation by a sequence of shaped ultrashort pulses
• Revivals of quantum wave-packets in graphene
• NMR implementation of Factoring Large Numbers with GaußSums: Suppression of Ghost Factors
• NMR implementations of Gauss sums
• Power-law behavior in the quantum-resonant evolution of the delta-kicked accelerator