# Quantum Computing with sine-Gordon Qubits

## TL;DR

This paper proposes a universal quantum computing scheme using networks of 1D quantum systems, encoding qubits via sine-Gordon field theory, and implementing logical gates through tunable operations, showcasing robustness in quantum computation.

## Contribution

It introduces a novel quantum computing scheme based on sine-Gordon field theory in 1D systems with specific logical gates, advancing the use of gapped phases for robust qubit encoding.

## Key findings

- Demonstrates a universal set of logical gates in 1D quantum systems.
- Shows the feasibility of encoding qubits using sine-Gordon field theory.
- Highlights the robustness of the proposed quantum computing scheme.

## Abstract

A universal quantum computing scheme, with a universal set of logical gates, is proposed based on networks of 1D quantum systems. The encoding of information is in terms of universal features of gapped phases, for which effective field theories such as sine-Gordon field theory can be employed to describe a qubit. Primary logical gates are from twist, pump, glue, and shuffle operations that can be realized in principle by tuning parameters of the systems. Our scheme demonstrates the power of 1D quantum systems for robust quantum computing.