Factorization with a logarithmic energy spectrum of a two-dimensional potential

Autor:	F Gleisberg, Wolfgang P. Schleich, M. Volpp
Rok vydání:	2015
Předmět:	Physics Quantum decoherence Number theory Factorization Logarithm Excited state Quantum mechanics General Physics and Astronomy Perturbation (astronomy) Quantum number Ground state
Zdroj:	Physics Letters A. 379:2556-2560
ISSN:	0375-9601
Popis:	We propose a method to factor numbers using a single particle caught in a separable two-dimensional potential with a logarithmic energy spectrum. The particle initially prepared in the ground state is excited with high probability by a sinusoidally time-dependent perturbation into a state whose two quantum numbers represent the factors of a number encoded in the frequency of the perturbation. We discuss the limitations of our method arising from off-resonant transitions and from decoherence.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e4ee4276981fe3b4ac139713b2d83803 https://doi.org/10.1016/j.physleta.2015.05.038 Zobrazit plný text záznamu Full Text from ScienceDirect