2010/06/30 by Laura Mazzola, L. Mazzola, Jyrki Piilo +3 · 85 citations
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Dephasing #Markov process #Master equation #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum decoherence #Quantum discord #Quantum dynamics #Quantum mechanics #Qubit #Statistical physics #quant-ph
paper · pdf · doi:10.1142/s021974991100754x
published in International Journal of Quantum Information 09(03), 981-991 (World Scientific) · 11 pages, 2 figures
openalex publication_date 2011/04/01 · arxiv created 2011/06/21 · arxiv updated 2011/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the dynamics of quantum and classical correlations in a system of two qubits under local colored-noise dephasing channels. The time evolution of a single qubit interacting with its own environment is described by a memory kernel non-Markovian master equation. The memory effects of the non-Markovian reservoirs introduce new features in the dynamics of quantum and classical correlations compared to the white noise Markovian case. Depending on the geometry of the initial state, the system can exhibit frozen discord and multiple sudden transitions between classical and quantum decoherence [L. Mazzola, J. Piilo and S. Maniscalco, Phys. Rev. Lett. 104 (2010) 200401]. We provide a geometric interpretation of those phenomena in terms of the distance of the state under investigation to its closest classical state in the Hilbert space of the system.