Workshop on QUANTUM MEASUREMENTS AND OPERATIONS FOR CRIPTOGRAPHY AND INFORMATION PROCESSING

Quantum Measurements and Operations for Criptography and Information Processing

Instruments and channels in quantum information theory

aula dottorato - Lunedì 25 ottobre ore 14.00
  ALBERTO BARCHIELLI , Politecnico di Milano

> PRESENTATION: Alberto Barchielli is full professor of Probability and Mathematical Statistics at "Politecnico di Milano". He participated in the construction of the theory of continual measurements in quantum mechanics and contributed to its mathematical developments, working with Lanz, Prosperi, Lupieri, Holevo, Belavkin... He developed applications to quantum optics either of the theory of continual measurements, either, more generally, of quantum stochastic calculus. More recently he started to study problems in between quantum measurement theory and quantum information.

Abstract  
  While a POV measure gives the probabilities in a quantum measurement, an instrument gives both the probabilities and the a posteriori states.
By interpreting the instrument as a quantum channel and by using the typical inequalities for the quantum and classical relative entropies, many bounds on the classical information extracted in a quantum measurement, of the type of Holevo's bound, are obtained in a unified manner.
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