Topological order in Josephson junction ladders with Mobius boundary conditions

TL;DR

This paper introduces a conformal field theory framework for a fully frustrated Josephson junction ladder with Mobius boundary conditions, demonstrating how it can exhibit topological order essential for robust quantum computing.

Contribution

It provides a novel CFT-based description of topological order in Josephson junction ladders with Mobius boundary conditions, advancing understanding of protected qubit systems.

Findings

System can develop topological order with Mobius boundary conditions

CFT description elucidates the topological properties of the system

Potential for implementation as a protected solid state qubit

Abstract

We propose a CFT description for a closed one-dimensional fully frustrated ladder of quantum Josephson junctions with Mobius boundary conditions, in particular we show how such a system can develop topological order. Such a property is crucial for its implementation as a "protected" solid state qubit.