THE FIELD OF QUANTUM INFORMATION THEORY (QIT) DEALS WITH THE APPARENT PARADOXES OF QUANTUM MECHANICS AND TRIES TO COIN THEM INTO USEFUL APPLICATIONS BY INVESTIGATING THEM FROM AN INFORMATION THEORETIC PERSPECTIVE, THE HEART OF MAN...
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el día 2008-01-01
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Descripción del proyecto
THE FIELD OF QUANTUM INFORMATION THEORY (QIT) DEALS WITH THE APPARENT PARADOXES OF QUANTUM MECHANICS AND TRIES TO COIN THEM INTO USEFUL APPLICATIONS BY INVESTIGATING THEM FROM AN INFORMATION THEORETIC PERSPECTIVE, THE HEART OF MANY OF THE IDEAS DEVELOPED IN THIS CONTEXT IS ENTANGLEMENT, WHICH MIGHT BE REGARDED AS THE DEEPEST DEPARTURE OF QUANTUM FROM CLASSICAL PHYSICS, FROM THE VERY DEFINITION OF ENTANGLEMENT ONE SEES HOW MATHEMATICS ENTERS NATURALLY IN THIS CONTEXT AND, ACTUALLY, MANY AREAS OF MATHEMATICS (SPECIALLY FUNCTIONAL ANALYSIS) ARE CONSTANTLY USED IN QIT, HOWEVER, THERE ARE STILL VERY FEW MATHEMATICIANS WORKING IN THIS AREA, OUR PROJECT IS CLEARLY INTERDISCIPLINARY, IT IS AIMED TO BRIDGE BETWEEN QIT AND MATHEMATICS, HAVING AS A MAIN OBJECTIVE THE UNDERSTANDING OF ENTANGLEMENT, IN PARTICULAR, WE WILL CONCENTRATE IN:1,- CHARACTERIZING QUANTUM CORRELATIONS,2,- FINDING NEW RESOURCES FOR QUANTUM CRYPTOGRAPHY,3,- STUDYING MPS AND PEPS REPRESENTATIONS,4,- GOING FURTHER IN THE RESEARCH CONCERNING ENTANGLEMENT DETECTION AND COMPOSITION OF CHANNELS,5,- FINDING APPLICATIONS OF QIT IDEAS IN PURE MATHEMATICS, Análisis Funcional\Información Cuántica\Criptografía Cuántica\Física de la Materia Condensada