Annuncment of Ph.D. Course
MATHEMATICAL ASPECTS OF QUANTUM INFORMATION THEORY
Prof. Dario Trevisan Dates of the lectures: Mo 23/01, Fr 27/01, Fr 03/02, Th. 9/02, Mo 13/02, Fr 17/02 Timetable: 11:00 - 13:000 Location: Aula B. Dipartimento di Matematica, Universita' di Roma La Sapienza
Topics: 1. Principles of QM: pure and mixed states, observables, tensor products and entanglement. 2. Examples: qudits, spin chains, Gaussian systems. 3. Open quantum systems: CPTP maps, quantum Markov semigroups and their generators. 4. Distances between quantum states: trace distance, fidelity, quantum optimal transport. 5. Quantum entropy and its properties. A quantum channel coding theorem.
Bibliography: - Nielsen, M.A. and Chuang, I.L., Quantum Computation and Quantum Information: 10th Anniversary Edition, Cambridge University Press, 2010 - Naaijkens, Pieter. Quantum spin systems on infinite lattices. eScholarship, University of California, 2013.
Best Regards,
Lorenzo Bertini
Dipartimento di Matematica Universita' di Roma La Sapienza | Tel: +39 - 06 4991 4974 P.le A. Moro 2, 00185 Roma | E-mail: bertini@mat.uniroma1.it Italy