2008/09/24 by Robert Alicki, M. Fannes, Mark Fannes
Computer Science · Mathematics · Physics and Astronomy · #Algebraic number #Computer science #Correlation #Discrete mathematics #Fidelity #Formalism (music) #Generator (circuit theory) #High fidelity #Markov process #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Quantum mechanics #Qubit #Semigroup #Statistical physics #Statistics #Telecommunications #quant-ph
paper · pdf · doi:10.1103/physreva.79.012316
9 pages, no figures
arxiv created 2008/09/24 · openalex publication_date 2009/01/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider, within the algebraic formalism, the time dependence of fidelity for qubits encoded in an open physical system. We relate the decay of fidelity to the evolution of correlation functions and, in the particular case of a Markovian dynamics, to the spectral gap of the generator of the semigroup. The results are applicable to the analysis of models of quantum memories.