2013/03/31 by J. D. Montealegre, F. M. Paula, F. M. de Paula +2 · 130 citations
Computer Science · Mathematics · Physics and Astronomy · #Law #Mathematics #Norm (philosophy) #Open quantum system #Physics #Political science #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum decoherence #Quantum discord #Quantum mechanics #quant-ph
paper · pdf · doi:10.1103/physreva.87.042115
published in Physical Review A 87(4) (American Physical Society) · 7 pages, 4 figures
arxiv created 2013/04/08 · openalex publication_date 2013/04/22 · arxiv updated 2013/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Geometric quantum discord is a well-defined measure of quantum correlation if Schatten one-norm (trace norm) is adopted as a distance measure. Here, we analytically investigate the dynamical behavior of the one-norm geometric quantum discord under the effect of decoherence. By starting from arbitrary Bell-diagonal mixed states under Markovian local noise, we provide the decays of the quantum correlation as a function of the decoherence parameters. In particular, we show that the one-norm geometric discord exhibits the possibility of double sudden changes and freezing behavior during its evolution. For nontrivial Bell-diagonal states under simple Markovian channels, these are new features that are in contrast with the Schatten two-norm (Hilbert-Schmidt) geometric discord. The necessary and sufficient conditions for double sudden changes as well as their exact locations in terms of decoherence probabilities are provided. Moreover, we illustrate our results by investigating decoherence in quantum spin chains in the thermodynamic limit.