کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1863486 | 1530562 | 2015 | 5 صفحه PDF | دانلود رایگان |

• A new protocol for factorization of an integer into two primes is proposed.
• We report an energy spectrum optimally adapted for the factorization.
• A potential for our single particle spectrum was calculated numerically.
• We determined a Rabi frequency for the transition into the factor state.
• An explicit limit caused by decoherence for numbers to be factored is reported.
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.
Journal: Physics Letters A - Volume 379, Issues 40–41, 23 October 2015, Pages 2556–2560