Accession Number : ADA523470


Title :   Making Classical Ground State Spin Computing Fault-Tolerant


Corporate Author : WASHINGTON UNIV SEATTLE DEPT OF PHYSICS


Personal Author(s) : Crosson, I. ; Bacon, D. ; Brown, K. R.


Full Text : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA523470


Report Date : 24 JUN 2010


Pagination or Media Count : 25


Abstract : We examine a model of classical deterministic computing in which the ground state of the classical system is a spatial history of the computation. This model is relevant to quantum dot cellular automata as well as to recent universal adiabatic quantum computing constructions. In its most primitive form, systems constructed in this model cannot compute in an error free manner when working at non-zero temperature. However, by exploiting a mapping between the partition function for this model and probabilistic classical circuits we are able to show that it is possible to make this model effectively error free. We achieve this by using techniques in fault-tolerant classical computing and the result is that the system can compute effectively error free if the temperature is below a critical temperature. We further link this model to computational complexity and show that a certain problem concerning finite temperature classical spin systems is complete for the complexity class Merlin-Arthur. This provides an interesting connection between the physical behavior of certain many-body spin systems and computational complexity.


Descriptors :   *FAULT TOLERANT COMPUTING , SPINNING(MOTION) , AUTOMATA , CRITICAL TEMPERATURE , DETERMINANTS(MATHEMATICS)


Subject Categories : COMPUTER PROGRAMMING AND SOFTWARE


Distribution Statement : APPROVED FOR PUBLIC RELEASE