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Quantum vertex model for reversible classical computing.

Abstract：

:Mappings of classical computation onto statistical mechanics models have led to remarkable successes in addressing some complex computational problems. However, such mappings display thermodynamic phase transitions that may prevent reaching solution even for easy problems known to be solvable in polynomial time. Here we map universal reversible classical computations onto a planar vertex model that exhibits no bulk classical thermodynamic phase transition, independent of the computational circuit. Within our approach the solution of the computation is encoded in the ground state of the vertex model and its complexity is reflected in the dynamics of the relaxation of the system to its ground state. We use thermal annealing with and without 'learning' to explore typical computational problems. We also construct a mapping of the vertex model into the Chimera architecture of the D-Wave machine, initiating an approach to reversible classical computation based on state-of-the-art implementations of quantum annealing.

journal_name

Nat Commun

journal_title

Nature communications

authors

Chamon C,Mucciolo ER,Ruckenstein AE,Yang ZC

doi

10.1038/ncomms15303

subject

Has Abstract

pub_date

2017-05-12 00:00:00

pages

15303

issn

2041-1723

pii

ncomms15303

journal_volume

8

pub_type

杂志文章

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