Gamma spaces and information
Copyright policy )Gamma spaces and information
We investigate the role of Segal's Gamma-spaces in the context of classical and quantum information, based on categories of finite probabilities with stochastic maps and density matrices with quantum channels. The information loss functional extends to the setting of probabilistic Gamma-spaces considered here. The Segal construction of connective spectra from Gamma-spaces can be used in this setting to obtain spectra associated to certain categories of gapped systems.
47 pages, 1 jpg figure
- California Institute of Technology United States
- Perimeter Institute Canada
- University of Toronto Canada
gapped systems, FOS: Computer and information sciences, 94A17, 81P45, 54B35, 55P43, Measures of information, entropy, Quantum state spaces, operational and probabilistic concepts, Computer Science - Information Theory, Information Theory (cs.IT), probabilistic categories, information loss, Spectra with additional structure (\(E_\infty\), \(A_\infty\), ring spectra, etc.), Channel models (including quantum) in information and communication theory, classical and quantum information, Quantum information, communication, networks (quantum-theoretic aspects), Gamma spaces, Spectra in general topology
gapped systems, FOS: Computer and information sciences, 94A17, 81P45, 54B35, 55P43, Measures of information, entropy, Quantum state spaces, operational and probabilistic concepts, Computer Science - Information Theory, Information Theory (cs.IT), probabilistic categories, information loss, Spectra with additional structure (\(E_\infty\), \(A_\infty\), ring spectra, etc.), Channel models (including quantum) in information and communication theory, classical and quantum information, Quantum information, communication, networks (quantum-theoretic aspects), Gamma spaces, Spectra in general topology
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