Fault-Tolerant Holonomic Quantum Computation

2008/06/30 by Ognyan Oreshkov, Todd A. Brun, Daniel A. Lidar · 3 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physrevlett.102.070502

published as Phys. Rev. Lett. 102, 070502 (2009) · published version

arxiv created 2009/02/20 · openalex publication_date 2009/02/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explain how to combine holonomic quantum computation (HQC) with fault-tolerant quantum error correction. This establishes the scalability of HQC, putting it on equal footing with other models of computation, while retaining the inherent robustness the method derives from its geometric nature.

Citations

• Holonomic Quantum Computation in Decoherence-Free Subspaces
• Appearance of Gauge Structure in Simple Dynamical Systems
• A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
• Quantal phase factors accompanying adiabatic changes

Cited by

• Scheme for fault-tolerant holonomic computation on stabilizer codes
• Topics in quantum information and the theory of open quantum systems
• Adiabatic Gate Teleportation