2017/04/04 by Shibei Xue, Thien Nguyen, Matthew R. James +3 · 20 citations
Computer Science · Mathematics · Physics and Astronomy · #Amplitude damping channel #Colors of noise #Markov process #Noise (video) #Open quantum system #Quantum #Quantum Information and Cryptography #Quantum operation #Quantum system #Spectroscopy and Quantum Chemical Studies #White noise #math.OC #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1109/tcst.2019.2935421
published in IEEE Transactions on Control Systems Technology 28(6), 2564-2571 (Institute of Electrical and Electronics Engineers) · 20 pages, 10 figures. Comments are welcome
arxiv created 2017/04/04 · openalex created_date 2017/04/28 · openalex publication_date 2019/08/30 · arxiv updated 2020/10/20 · openalex updated_date 2026/08/05
This brief presents an augmented Markovian system framework that can be applied to model non-Markovian quantum systems. In this augmented system model, ancillary systems are designed to play the role of internal modes of the non-Markovian environment converting white noise to colored noise. To capture the non-classical mutual influence between a quantum system and non-Markovian environments, direct interactions between a principal system and the ancillary system are introduced. Consequently, we showed that the augmented Markovian formulation can be used to theoretically model the environment for observed non-Markovian behavior in a recent experiment on quantum dots.