2010/08/23 by Andrei Khrennikov, Masanori Ohya, Naboru Watanabe · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Classical capacity #Gaussian #Observable #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum capacity #Quantum channel #Quantum chaos #Quantum dynamics #Quantum information #Quantum process #Statistical Mechanics and Entropy #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1007/s10946-010-9167-x
published as Journal of Russian Laser Research, v. 31, N 5, 401-407, 2010
arxiv created 2010/08/23 · openalex publication_date 2010/09/01 · arxiv updated 2012/10/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Recently it was shown that the main distinguishing features of quantum mechanics (QM) can be reproduced by a model based on classical random fields, so called prequantum classical statistical field theory (PCSFT). This model provides a possibility to represent averages of quantum observables, including correlations of observables on subsystems of a composite system (e.g., entangled systems), as averages with respect to fluctuations of classical (Gaussian) random fields. In this note we consider some consequences of PCSFT for quantum information theory. They are based on the observation \citeW of two authors of this paper that classical Gaussian channels (important in classical signal theory) can be represented as quantum channels. Now we show that quantum channels can be represented as classical linear transformations of classical Gaussian signal