Titlebook: New Trends in Mathematical Physics; Selected contributio Vladas Sidoravičius Conference proceedings 20091st edition Springer Science+Busine

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Conference proceedings 20091st editiongeneral interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area..

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Entanglement-Assisted Quantum Error-Correcting Codes,es. In contrast, EAQECCs do not require self-orthogonality, which greatly simplifies their construction. We show how any classical quaternary block code can be made into a EAQECC. Furthermore, the error-correcting power of the quantum codes follows directly from the power of the classical codes.

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,Fluctuations and Large Deviations in Non-equilibrium Systems, dimension with open boundary conditions. For the simple exclusion process as well as for other diffusive systems, one can also obtain the distribution of the current of particles flowing through the system and the results lead to a simple conjecture for the large deviation function of the current of more general diffusive systems.