Eur. Phys. J. B 79, 85-90 (2011)
https://doi.org/10.1140/epjb/e2010-10399-x

Computation using noise-based logic: efficient string verification over a slow communication channel

¹ Texas A&M University, Department of Electrical and Computer Engineering, College Station, TX, 77843-3128, USA
² Department of Computer Science, University of Bonn, Römerstr. 164, 53117 Bonn, Germany
³ Fraunhofer IAIS, Schloss Birlinghoven, 53754 Sankt Augustin, Germany

Corresponding authors: ^a Laszlo.Kish@ece.tamu.edu - ^b sunil@ece.tamu.edu - ^c tamas.horvath@iais.fraunhofer.de

Received: 18 May 2010
Revised: 8 November 2010
Published online: 21 December 2010

Abstract

Utilizing the hyperspace of noise-based logic, we show two string verification methods with low communication complexity. One of them is based on continuum noise-based logic. The other one utilizes noise-based logic with random telegraph signals where a mathematical analysis of the error probability is also given. The last operation can also be interpreted as computing universal hash functions with noise-based logic and using them for string comparison. To find out with 10^-25 error probability that two strings with arbitrary length are different (this value is similar to the error probability of an idealistic gate in today's computer) Alice and Bob need to compare only 83 bits of the noise-based hyperspace.