Dear Colleague, We are contacting you to kindly ask whether you would be interested in giving a series of 3 to 4 lectures in a school on "Theory and Technology in Quantum Information" te be held at Abdus Salam ICTP (Trieste) from 12 to 16 June 2006. This school is an important part of a European Programme for developping a Master Curriculum in "Quantum Information, Communication, Cryptography, and Computing". We have outlined a frame for such a programme and the aim of the school is to test the consistency and feasibility of this programme on a rather mixed audience of 30 to 40 graduate students ranging from informatics to engineering, mathematics and physics. We thought of the following topics: Algebraic Tools Quantum Mechanics Quantum Statistical Mechanics Classical Information Theory Entanglement Quantum Information Quantum Cryptography Experimental Implementations to be presented in an accessible and as much integrated as possible way. We think rather of lectures than seminars with motivating and illustrating examples relevant for the general subject. An important aim is also to provide the community with a set of consistent introductory lecture notes. So we shall ask you to provide a set of lecture notes not exceeding 25 pages. The school will be followed by a one week research conference on quantum information processing from June 19 to 23. Another aim of the school is that a number of the students may be able to profit from the conference. You are of course also kindly invited to participate. The school is sponsored by a European Erasmus Programme which will cover your travel and living expenses as a lecturer, while the conference will be supported by the ICTP. All the facilities of the ICTP will be available to students, lecturers and speakers for the entire event. In this context, we tought of you as a very suitable candidate to lecture on !!! ... !!!. We made a rough tentative "table of contents" for each of these subjects. This is of course still open for suggestions and improvements and is just a frame to be filled out by the lecturers. We only include it in this message in order to facilitate the integration of the various topics. Algebraic Tools orthogonal spaces, complex matrices eigenvalues, singular values, Jordan decomposition direct sums, tensor products, Schmidt decomposition convexity states and discrete probability pure and mixed states, purification Quantum Mechanics quantum vs classical phenomena (Ising spin vs spin 1/2) description of isolated systems, mean values, probabilities, dynamics, measurements, von Neumann entropy multi-partite systems and partial operations positivity, complete positivity, unitary dilations Quantum Statistical Mechanics quantum statistical systems spin chains Fermions and Bosons, coherent states entropic tools equilibrium states, KMS Classical Information Theory sources and channels stochastic processes, Bernoulli and Markov processes entropy, relative entropy information, conditional information, mutual information codes and noiseless compression noisy channels, capacity Entanglement Bell's states, dense coding, quantum teleportation witnessing entanglement: Bell's inequalities, positive maps measuring entanglement, distillation and formation of mixed entanglement Quantum Information quantum stochastic processes quantum noiseless compression quantum capacities and additivity questions Quantum Cryptography probabilistic classical cryptography (Vernam's code; estimate of its average deciphering time) classical solution of the key distribution problem (RSA algorithm) no cloning theorem quantum solution of the key distribution problem (BB84, BB92, EPR algorithms) Experimental Implementations state reconstruction, quantum tomography quantum optics Mach-Zender interferometer beam splitters, squeezers, parametric down conversion atom interferometers Bose-Einstein condensates Looking forward to a positive reaction we remain at your disposal for further information and clarification. As the ICTP will soon prepare a poster mentioning school lecturers and possibly conference speakers we would very much appreciate a rapid response. Yours sincerely, ???