Analogue algorithm for parallel factorization of an exponential number of large integers: II - optical implementation

Vincenzo Tamma

doi:10.1007/s11128-015-1189-4

Analogue algorithm for parallel factorization of an exponential number of large integers: II - optical implementation

Vincenzo Tamma

Ulm University

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Abstract

We report a detailed analysis of the optical realization of the analogue algorithm described in the first paper of this series (Tamma in Quantum Inf Process 11128:1190, 2015) for the simultaneous factorization of an exponential number of integers. Such an analogue procedure, which scales exponentially in the context of first-order interference, opens up the horizon to polynomial scaling by exploiting multi-particle quantum interference.

Original language	English
Pages (from-to)	5243-5257
Journal	Quantum Information Processing
Volume	15
Issue number	12
Early online date	26 Nov 2015
DOIs	https://doi.org/10.1007/s11128-015-1189-4
Publication status	Published - 1 Dec 2016
Externally published	Yes

Keywords

quantum computation
optical interferometry
algorithms
analogue computers
factorization
exponential sums
Gauss sums

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10.1007/s11128-015-1189-4

Analogue algorithm for parallel factorization II
The final publication is available at Springer via http://dx.doi.org/10.1007/s11128-015-1189-4.
Accepted author manuscript (Post-print), 751 KB

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KW - optical interferometry

KW - algorithms

KW - analogue computers

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KW - exponential sums

KW - Gauss sums

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Analogue algorithm for parallel factorization of an exponential number of large integers: II - optical implementation

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Keywords

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