2006/07/31 by Thomas Gorin, T. Gorin, Tomaž Prosen +5 · 34 citations
Computer Science · Physics and Astronomy · #Artificial intelligence #Benchmark (surveying) #Computer science #Data mining #Dynamics (music) #Fidelity #High fidelity #Measure (data warehouse) #Physics #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Quantum mechanics #Quantum optics and atomic interactions #Random matrix #Reliability (semiconductor) #Statistical physics #Telecommunications #Theoretical physics #Variety (cybernetics) #quant-ph
paper · pdf · doi:10.1016/j.physrep.2006.09.003
published as Phys. Rep. 435, 33-156 (2006) · Review article with some original results in integrable systems and random matrix models; 133 pages, 53 figures
arxiv created 2006/09/14 · openalex publication_date 2006/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Fidelity serves as a benchmark for the relieability in quantum information processes, and has recently atracted much interest as a measure of the susceptibility of dynamics to perturbations. A rich variety of regimes for fidelity decay have emerged. The purpose of the present review is to describe these regimes, to give the theory that supports them, and to show some important applications and experiments. While we mention several approaches we use time correlation functions as a backbone for the discussion. Vanicek's uniform approach to semiclassics and random matrix theory provides an important alternative or complementary aspects. Other methods will be mentioned as we go along. Recent experiments in micro-wave cavities and in elastodynamic systems as well as suggestions for experiments in quantum optics shall be discussed.