2010/05/31 by Bruno Bellomo, Antonella De Pasquale, Giulia Gualdi +1 · 1 citation
Computer Science · Physics and Astronomy · #Benchmark (surveying) #Gaussian #Harmonic #Master equation #Mechanical and Optical Resonators #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Symplectic geometry #Tomographic reconstruction #Tomography #quant-ph
paper · pdf · doi:10.1088/1751-8113/43/39/395303
published as J. Phys. A: Math. Theor. 43 (2010) 395303 (13pp) · 15 pages, 2 figures
openalex publication_date 2010/08/26 · arxiv created 2010/11/14 · arxiv updated 2010/11/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose a procedure based on symplectic tomography for reconstructing the unknown parameters of a convolutionless non-Markovian Gaussian noisy evolution. Whenever the time-dependent master equation coefficients are given as a function of some unknown time-independent parameters, we show that these parameters can be reconstructed by means of a finite number of tomograms. Two different approaches towards reconstruction, integral and differential, are presented and applied to a benchmark model made up of a harmonic oscillator coupled to a bosonic bath. For this model the number of tomograms needed to retrieve the unknown parameters is explicitly computed.