Minimum energy required to copy one bit of information

TL;DR

This paper analyzes the minimum energy needed to copy a single bit of information in the presence of thermal noise, considering quantum systems and error correction overhead.

Contribution

It introduces a quantum-based model to calculate the energy cost of copying information with error protection in noisy environments.

Findings

Derived energy requirements for copying a bit under thermal noise

Quantified the impact of error correction bits on total energy consumption

Provided a framework for understanding energy costs in quantum information copying

Abstract

In this paper, we calculate energy required to copy one bit of useful information in the presence of thermal noise. For this purpose, we consider a quantum system capable of storing one bit of classical information, which is initially in a mixed state corresponding to temperature T. We calculate how many of these systems must be used to store useful information and control bits protecting the content against transmission errors. Finally, we analyze how adding these extra bits changes the total energy consumed during the copying.