1992/01/01 by Matteo A. C. Rossi, Matteo G. A. Paris, M. Ferraris +2
Computer Science · Mathematics · Medicine · Physics and Astronomy · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Dynamical systems theory #Dynamics (music) #Gaussian #Gaussian noise #Intracerebral and Subarachnoid Hemorrhage Research #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Noise (video) #Parameter space #Principal (computer security) #Pure mathematics #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Quantum decoherence #Transverse plane #cond-mat.mes-hall #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1063/1.4939733
published as J. Chem. Phys. 144, 024113 (2016)
openalex publication_date 1992/01/01 · arxiv created 2015/10/20 · arxiv updated 2016/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/02
We address the interaction of single- and two-qubit systems with an external transverse fluctuating field and analyze in detail the dynamical decoherence induced by Gaussian noise and random telegraph noise (RTN). Upon exploiting the exact RTN solution of the time-dependent von Neumann equation, we analyze in detail the behavior of quantum correlations and prove the non-Markovianity of the dynamical map in the full parameter range, i.e., for either fast or slow noise. The dynamics induced by Gaussian noise is studied numerically and compared to the RTN solution, showing the existence of (state dependent) regions of the parameter space where the two noises lead to very similar dynamics. We show that the effects of RTN noise and of Gaussian noise are different, i.e., the spectrum alone is not enough to summarize the noise effects, but the dynamics under the effect of one kind of noise may be simulated with high fidelity by the other one.