2015/01/29 by Shaojun Dong, S. -J. Dong, Bi‐Heng Liu +7
Computer Science · Mathematics · Physics and Astronomy · #Benchmark (surveying) #Computer science #Data mining #Dimension (graph theory) #Exponential function #Mathematical analysis #Mathematics #Measure (data warehouse) #Open system (computing) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #Quantum mechanics #Quantum state #Scaling #Scheme (mathematics) #Statistical physics #TRACE (psycholinguistics) #Trace distance #quant-ph
paper · pdf · doi:10.1103/physreva.91.042317
arxiv created 2015/01/29 · openalex publication_date 2015/04/13 · arxiv updated 2015/06/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The non-Markovianity is a prominent concept of the dynamics of open quantum systems, which is of fundamental importance in quantum mechanics and quantum information. Despite lots of efforts, the experimental measurement of non-Markovianity of an open system is still limited to very small systems. Presently, it is still impossible to experimentally quantify the non-Markovianity of high-dimensional systems with the widely used Breuer-Laine-Piilo trace distance measure. In this paper, we propose a method, combining experimental measurements and numerical calculations, that allow quantifying the non-Markovianity of an N-dimensional system only scaled as N2, successfully avoiding the exponential scaling with the dimension of the open system in the current method. After the benchmark with a two-dimensional open system, we demonstrate the method in quantifying the non-Markovanity of a high-dimensional open quantum random walk system.