Nonlocal Topological Maxwell Demon Teleporting Ergotropy via Surface-Code Quantum Error Correction

TL;DR

This paper presents a novel approach to nonlocal thermodynamics using surface-code quantum error correction to teleport ergotropy, revealing a thermodynamic phase transition and fundamental limits imposed by infrastructure costs.

Contribution

It introduces a method for teleporting ergotropy via surface-code quantum error correction, linking quantum error correction to nonlocal thermodynamic processes.

Findings

Ergotropy teleportation is exponentially protected below a topological threshold.

A thermodynamic phase transition separates profitable and thermal phases.

Infrastructure costs enforce a fundamental thermodynamic horizon.

Abstract

We introduce a nonlocal Maxwell demon teleporting ergotropy at finite temperature via classical communication and a shared surface code. The teleported ergotropy is exponentially protected below a topological threshold. We identify a thermodynamic phase transition separating a profitable demon phase from a thermal phase. A quadratic infrastructure cost strictly enforces the second law, imposing a fundamental thermodynamic horizon on separation distance. This establishes quantum error correction as a resource for nonlocal thermodynamics beyond fault-tolerant computation.