Quantum information with continuous variables

Periodo di svolgimento
Ore del corso
Ore dei docenti responsabili
Ore di didattica integrativa

Modalità esame

Prova orale


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The course is addressed to PhD students in Mathematics, Physics and related disciplines. No prior knowledge of quantum mechanics is assumed. Familiarity with liner algebra and Hilbert spaces is suggested.


Introduction to the mathematics of quantum theory
Bosonic quantum Gaussian systems
Wigner quasiprobability distribution and Husimi Q representation
Symplectic group and Gaussian unitary dynamics
Noisy dynamics: quantum Gaussian channels
Quantum communication with continuous variables
Quantum phase estimation with continuous variables
Quantum algorithm for linear systems of equations

Obiettivi formativi

The aim of the course is to provide the students with theoretical knowledge of the main continuous variable protocols in quantum communication and quantum computing and with the means to start their own research project in the area

Riferimenti bibliografici

Alessio Serafini, Quantum Continuous Variables: A Primer of Theoretical Methods. CRC Press, 2017
Alexander S. Holevo, Quantum Systems, Channels, Information: A Mathematical Introduction, Second Edition. De Gruyter, 2019
Alexander S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory. Edizioni della Normale, 2011
Selected scientific papers