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Proceedings Paper

Optical modular arithmetic
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Paper Abstract

Nanoscale integrated photonic devices and circuits offer a path to ultra-low power computation at the few-photon level. Here we propose an optical circuit that performs a ubiquitous operation: the controlled, random-access readout of a collection of stored memory phases or, equivalently, the computation of the inner product of a vector of phases with a binary selector" vector, where the arithmetic is done modulo 2pi and the result is encoded in the phase of a coherent field. This circuit, a collection of cascaded interferometers driven by a coherent input field, demonstrates the use of coherence as a computational resource, and of the use of recently-developed mathematical tools for modeling optical circuits with many coupled parts. The construction extends in a straightforward way to the computation of matrix-vector and matrix-matrix products, and, with the inclusion of an optical feedback loop, to the computation of a weighted" readout of stored memory phases. We note some applications of these circuits for error correction and for computing tasks requiring fast vector inner products, e.g. statistical classification and some machine learning algorithms.

Paper Details

Date Published: 4 June 2014
PDF: 12 pages
Proc. SPIE 9083, Micro- and Nanotechnology Sensors, Systems, and Applications VI, 908315 (4 June 2014); doi: 10.1117/12.2051108
Show Author Affiliations
Dmitri S. Pavlichin, Stanford Univ. (United States)
Hideo Mabuchi, Stanford Univ. (United States)

Published in SPIE Proceedings Vol. 9083:
Micro- and Nanotechnology Sensors, Systems, and Applications VI
Thomas George; M. Saif Islam; Achyut K. Dutta, Editor(s)

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