2006/05/31 by O.-P. Saira, Olli-Pentti Saira, Ville Bergholm +3 · 28 citations
Computer Science · Physics and Astronomy · #Classical mechanics #Computer science #Master equation #Noise (video) #Open quantum system #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum algorithm #Quantum decoherence #Quantum dissipation #Quantum dynamics #Quantum error correction #Quantum mechanics #Quantum noise #Quantum operation #Quantum process #Qubit #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreva.75.012308
published in Physical Review A 75(1) (American Physical Society) · 5 pages, 2 figures; converted to PRA format, added Fig. 2, corrected typos
openalex publication_date 2007/01/09 · arxiv created 2007/02/16 · arxiv updated 2010/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the dynamics of quantum systems under classical and quantum noise, focusing on decoherence in qubit systems. Classical noise is described by a random process leading to a stochastic temporal evolution of a closed quantum system, whereas quantum noise originates from the coupling of the microscopic quantum system to its macroscopic environment. We derive deterministic master equations describing the average evolution of the quantum system under classical continuous-time Markovian noise and two sets of master equations under quantum noise. Strikingly, these three equations of motion are shown to be equivalent in the case of classical random telegraph noise and proper quantum environments. Hence fully quantum-mechanical models within the Born approximation can be mapped to a quantum system under classical noise. Furthermore, we apply the derived equations together with pulse optimization techniques to achieve high-fidelity one-qubit operations under random telegraph noise, and hence fight decoherence in these systems of great practical interest.