Local Dimension Invariant Qudit Stabilizer Codes

TL;DR

This paper introduces a method to derive qudit stabilizer codes from existing codes, relaxing parameter constraints, which could enhance fault-tolerance in quantum computers with higher-dimensional systems.

Contribution

It demonstrates how to construct qudit stabilizer codes from known codes, broadening the design space for fault-tolerant quantum computing.

Findings

Codes can be derived from existing ones with relaxed constraints.

The approach potentially improves fault-tolerance in qudit quantum computers.

Provides a systematic method for code construction in higher-dimensional systems.

Abstract

Protection of quantum information from noise is a massive challenge. One avenue people have begun to explore is reducing the number of particles needing to be protected from noise and instead use systems with more states, so called qudit quantum computers. These systems will require codes which utilize the full computational space. Many prior qudit codes are very restrictive on relations between parameters. In this paper we show that codes for these systems can be derived from already known codes, often relaxing the constraints somewhat, a result which could prove to be very useful for fault-tolerant qudit quantum computers.