Coherent Quantum Evolution via Reservoir Driven Holonomies

2005/07/31 by Angelo Carollo, Marcelo F. Santos, Marcelo Franca Santos +1 · 5 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.96.020403

published as Phys. Rev. Lett. 96, 020403 (2006) · 4 pages

openalex publication_date 2006/01/18 · arxiv created 2006/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that in the limit of a strongly interacting environment a system initially prepared in a decoherence-free subspace (DFS) coherently evolves in time, adiabatically following the changes of the DFS. If the reservoir cyclicly evolves in time, the DFS states acquire a holonomy.

Citations

• Adiabatic approximation in open quantum systems
• Stabilization of Quantum Computations by Symmetrization
• Quantal phase factors accompanying adiabatic changes

Cited by

• Abelian and non-Abelian geometric phases in adiabatic open quantum systems
• Decoherence-induced geometric phase in a multilevel atomic system
• Holonomy for quantum channels
• Implementation of holonomic quantum computation through engineering and manipulating the environment
• Observable geometric phase induced by a cyclically evolving dissipative process