Quantum information with continuous variables

Period of duration of course
Course info
Number of course hours
Number of hours of lecturers of reference
Number of hours of supplementary teaching

Type of exam

Oral exam


Giacomo De Palma


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

Educational aims

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

Bibliographical references

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