Abstract
We construct an analog computer based on light interference to encode the hyperbolic function f(ζ)≡1/ζ into a sequence of skewed curlicue functions. The resulting interferogram when scaled appropriately allows us to find the prime number decompositions of integers. We implement this idea exploiting polychromatic optical interference in a multipath interferometer and factor seven-digit numbers. We give an estimate for the largest number that can be factored by this scheme.
Original language | English |
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Article number | 020304(R) |
Journal | Physical Review A |
Volume | 83 |
Issue number | 2 |
DOIs | |
Publication status | Published - 25 Feb 2011 |
Externally published | Yes |