Work

Fault-Tolerant Computing with Single Qudit Encoding

Year: 2023

Type: preprint

Abstract: We discuss stabilizer quantum-error correction codes implemented in a single multi-level qudit to avoid resource escalation typical of multi-qubit codes. These codes can be customized to the specific physical errors on the qudit, effectively suppressing them. We demonstrate a Fault-Tolerant implementation on molecular spin qudits, showcasing nearly exponential error suppression with only linear qudit size growth. Notably, this outperforms qubit codes using thousands of units. We also outline the required properties for a generic physical system to Fault-Tolerantly implement these embedded codes.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2307.10761

Authors: Mezzadri, Matteo, Chiesa, Alessandro, Lepori, Luca, Carretta, Stefano

Institutions: University of Parma, Istituto Nazionale di Fisica Nucleare, Sezione di Milano Bicocca, Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma, National Interuniversity Consortium of Materials Science and Technology

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4385003555

Cites: 73

Cited by: 1

Related to: 10