2023/07/09 by Esteban Martínez-Vargas, Martínez-Vargas, Esteban
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Characterization (materials science) #FOS: Physical sciences #Mathematical analysis #Mathematics #Open quantum system #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum channel #Quantum discord #Quantum dynamics #Quantum entanglement #Quantum mechanics #Quantum operation #Quantum probability #Quantum process #Separable space #Separable state #Statistical Mechanics and Entropy #Statistical physics
paper · pdf · doi:10.48550/arxiv.2307.04258
openalex publication_date 2023/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
I develop a theory of classicality from quantum systems. This theory stems from the study of classical and quantum stationary stochastic processes. The stochastic processes are characterized by polyhedral (classical) and semidefinite representative (quantum) cones. Based on a previous result by the author I expand the study of fixed points from quantum channels. I give a semidefinite program that characterizes a quantum channel separating into a core and a part that decays with many iterations. In general, the solution is non-separable in the space it is defined. I present a characterization of channels in terms of their fixed points for the separable case. A quantum simulation of a polyhedral cone can then be constructed.