ar X iv : 0 70 9 . 14 24 v 1 [ qu an t - ph ] 1 0 Se p 20 07 Gauss sum factorization with cold atoms
نویسنده
چکیده
The Shor algorithm [1] to factor numbers and its NMRimplementation [2] have propelled the field of quantum computation [3]. Recently a different factorization scheme [4] taking advantage of the periodicity properties of Gauss sums [5] has been proposed [6] and verified by two NMR-experiments [7, 8] and one experiment based on short laser pulses [9]. In the present paper we report the first implementation of Gauss sum factorization based on matter-wave interferometry [10] with cold rubidium atoms and use it to find the factors of N = 263193. Our method rests on the observation that the truncated Gauss sum
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