Approximate quantum Markov chains. ([2018])

• Record Type: Book
• Further Information: Note: David Sutter.
• Authors: Sutter, David
• Contents: Intro; Acknowledgements; Contents; 1 Introduction; 1.1 Classical Markov Chains; 1.1.1 Robustness of Classical Markov Chains; 1.2 Quantum Markov Chains; 1.2.1 Robustness of Quantum Markov Chains; 1.3 Outline; References; 2 Preliminaries; 2.1 Notation; 2.2 Schatten Norms; 2.3 Functions on Hermitian Operators; 2.4 Quantum Channels; 2.5 Entropy Measures; 2.5.1 Fidelity; 2.5.2 Relative Entropy; 2.5.3 Measured Relative Entropy; 2.5.4 Rényi Relative Entropy; 2.6 Background and Further Reading; References; 3 Tools for Non-commuting Operators; 3.1 Pinching; 3.1.1 Spectral Pinching. 3.1.2 Smooth Spectral Pinching3.1.3 Asymptotic Spectral Pinching; 3.2 Complex Interpolation Theory; 3.3 Background and Further Reading; References; 4 Multivariate Trace Inequalities; 4.1 Motivation; 4.2 Multivariate Araki-Lieb-Thirring Inequality; 4.3 Multivariate Golden-Thompson Inequality; 4.4 Multivariate Logarithmic Trace Inequality; 4.5 Background and Further Reading; References; 5 Approximate Quantum Markov Chains; 5.1 Quantum Markov Chains; 5.2 Sufficient Criterion for Approximate Recoverability; 5.2.1 Approximate Markov Chains are not Necessarily Close to Markov Chains.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Copyright Date: 2018
• Extent: 1 online resource
• Subjects: 519.2/33; Physics; Markov processes; MATHEMATICS -- Applied; MATHEMATICS -- Probability & Statistics -- General; Physics; Quantum Physics; Mathematical Physics; Condensed Matter Physics; Statistical Physics and Dynamical Systems; Quantum Information Technology, Spintronics; Markov processes; Science -- Mathematical Physics; Science -- Solid State Physics; Computers -- Information Technology; Mathematical physics; Materials / States of matter; Statistical physics; Quantum physics (quantum mechanics & quantum field theory); Quantum theory; Statistical physics; Science -- Quantum Theory; Electronic books
• Languages: English
• ISBNs: 9783319787329; 3319787322
• Related ISBNs: 9783319787312; 3319787314
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, viewed April 25, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.