2018/11/30 by Simone Camosso
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Algorithm #Gaussian #Mathematical analysis #Mathematics #Physics #Quantization (signal processing) #Quantum #Quantum mechanics #Quantum state #Semigroup #Statistical physics #math-ph #math.MP #msc:46N50 #msc:53D55 #msc:97I60 #msc:97I80
paper · pdf · doi:10.4236/jqis.2019.91002
published as Journal of Quantum Information Science, 9, (2019) 15-21
openalex created_date 2018/11/09 · openalex publication_date 2019/01/01 · arxiv created 2019/03/21 · arxiv updated 2019/07/19 · openalex updated_date 2026/08/05
The aim of this work is to study the Berezin quantization of a Gaussian state. The result is another Gaussian state that depends on a quantum parameter α, which describes the relationship between the classical and quantum vision. The compression parameter λ>0 is associated to the harmonic oscillator semigroup.