2019/08/31 by Evgeniy O. Kiktenko, E. O. Kiktenko, A. O. Malyshev +9 · 26 citations
Computer Science · Mathematics · Physics and Astronomy · #Density matrix #Master equation #Mathematical analysis #Mathematics #POVM #Physics #Probability measure #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum dynamics #Quantum mechanics #Quantum operation #Quantum probability #Quantum process #Realization (probability) #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreva.101.052320
published in Physical Review A 101(5) (American Physical Society) · 16 pages, 5 figures, 2 tables
arxiv created 2020/05/12 · openalex publication_date 2020/05/12 · arxiv updated 2020/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this work, we consider a probability representation of quantum dynamics for finite-dimensional quantum systems with the use of pseudostochastic maps acting on true probability distributions. These probability distributions are obtained via symmetric informationally complete positive operator-valued measure (SIC-POVM) and can be directly accessible in an experiment. We provide SIC-POVM probability representations both for unitary evolution of the density matrix governed by the von Neumann equation and dissipative evolution governed by Markovian master equation. In particular, we discuss whereas the quantum dynamics can simulated via classical random processes in terms of the conditions for the master equation generator in the SIC-POVM probability representation. We construct practical measures of nonclassicality non-Markovianity of quantum processes and apply them for studying experimental realization of quantum circuits realized with the IBM cloud quantum processor.