Refocusing schemes for holonomic quantum computation in the presence of dissipation

2004/03/19 by Li-Xiang Cen, Paolo Zanardi
Computer Science · Mathematics · Physics and Astronomy · #Abelian group #Algorithm #Classical mechanics #Computation #Computer science #Dissipation #Holonomic #Jump #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum computer #Quantum mechanics #Symmetrization #quant-ph

paper · pdf · doi:10.1103/physreva.70.052323

published as Phys. Rev. A 70, 052323 (2004) · 4 pages, revtex4

arxiv created 2004/03/19 · openalex publication_date 2004/11/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The effects of dissipation on a holonomic quantum computation scheme are analyzed within the quantum-jump approach. We extend to the non-Abelian case the refocusing strategies formerly introduced for (Abelian) geometric computation. We show how double loop symmetrization schemes allow one to get rid of the unwanted influence of dissipation in the no-jump trajectory.

Citations

• Geometric quantum computation using nuclear magnetic resonance
• Dynamical suppression of decoherence in two-state quantum systems
• Appearance of Gauge Structure in Simple Dynamical Systems
• Decoherence of geometric phase gates
• A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
• Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
• Quantal phase factors accompanying adiabatic changes