Factorization with a logarithmic energy spectrum

Autor: F Gleisberg, R Mack, K Vogel, W P Schleich
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: New Journal of Physics, Vol 15, Iss 2, p 023037 (2013)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/15/2/023037
Popis: We propose a method to factor numbers based on the quantum dynamics of two interacting bosonic atoms where the single-particle energy spectrum depends logarithmically on the quantum number. We show that two atoms initially prepared in the ground state are preferentially excited by a time-dependent interaction into a two-particle energy state characterized by the factors. Hence, a measurement of the energy of one of the two atoms yields the factors. The number to be factored is encoded in the frequency of a sinusoidally modulated interaction. We also discuss the influence of off-resonant transitions and the limitation of the number to be factored imposed by experimental conditions.
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