Thermal behavior of Quantum Cellular Automaton wires

TL;DR

This paper studies how finite temperature affects the error rates and operational limits of Quantum Cellular Automata wires, combining numerical and analytical models to evaluate their thermal behavior.

Contribution

It introduces both numerical and analytical models to analyze thermal effects on QCA wires and estimates their maximum operating temperature.

Findings

Analytical and numerical models show good agreement within certain temperature ranges.

Maximum operating temperature for reliable QCA wire operation is estimated.

Error probabilities increase with temperature, affecting circuit reliability.

Abstract

We investigate the effect of a finite temperature on the behavior of logic circuits based on the principle of Quantum Cellular Automata (QCA) and of ground state computation. In particular, we focus on the error probability for a wire of QCA cells that propagates a logic state. A numerical model and an analytical, more approximate, model are presented for the evaluation of the partition function of such a system and, consequently, of the desired probabilities. We compare the results of the two models, assessing the limits of validity of the analytical approach, and provide estimates for the maximum operating temperature.