Optical binary-matrix synthesis for solving bounded NP-complete combinatorial problems

Natan Tzvi Shaked; Tal Tabib; Simon Gil; Stephane Messika; Shlomi Dolev; Joseph Rosen

doi:10.1117/1.2799086

1 October 2007 Optical binary-matrix synthesis for solving bounded NP-complete combinatorial problems

Natan Tzvi Shaked, Tal Tabib, Simon Gil, Stephane Messika, Shlomi Dolev, Joseph Rosen

Author Affiliations +

Optical Engineering, Vol. 46, Issue 10, 108201 (October 2007). https://doi.org/10.1117/1.2799086

Abstract

An optical method for synthesizing a binary matrix representing all feasible solutions of a bounded (input length restricted) NP-complete combinatorial problem is presented. After the preparation of this matrix, an optical matrix-vector multiplier can be used in order to multiply the synthesized binary matrix and a grayscale vector representing the weights of the problem. This yields the required solution vector. The synthesis of the binary matrix is based on an efficient algorithm that utilizes a small number of long-vector duplications. These duplications are performed optically by using an optical correlator. Simulations and experimental results are given.

©(2007) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Natan Tzvi Shaked, Tal Tabib, Simon Gil, Stephane Messika, Shlomi Dolev, and Joseph Rosen "Optical binary-matrix synthesis for solving bounded NP-complete combinatorial problems," Optical Engineering 46(10), 108201 (1 October 2007). https://doi.org/10.1117/1.2799086

Published: 1 October 2007

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