We present a novel factorization algorithm which can be computed using an analogue computer based on a polychromatic source with a given wavelength bandwidth, a multi-path interferometer and a spectrometer. The core of this algorithm stands on the measurement of the periodicity of a "factoring" function given by an exponential sum at continuous argument by recording a sequence of interferograms associated with suitable units of displacement in the inteferometer. A remarking rescaling property of such interferograms allows, in principle, the prime number decomposition of several large integers. The information about factors is encoded in the location of the inteferogram maxima.
|Publication status||Published - 19 Aug 2010|
|Event||Quantum Communications and Quantum Imaging VIII - San Diego, United States|
Duration: 1 Aug 2010 → …
|Conference||Quantum Communications and Quantum Imaging VIII|
|Period||1/08/10 → …|