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Título:
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The inverse eigenvalue problem for quantum channels
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Autores:
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Wolf, Michael ;
Pérez García, David
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Tipo de documento:
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texto impreso
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Fecha de publicación:
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2010
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Presentado
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Materia = Ciencias: Física: Física matemática
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Materia = Ciencias: Física: Teoría de los quanta
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Tipo = Artículo
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Resumen:
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Given a list of n complex numbers, when can it be the spectrum of a quantum channel, i.e., a completely positive trace preserving map? We provide an explicit solution for the n=4 case and show that in general the characterization of the non-zero part of the spectrum can essentially be given in terms of its classical counterpart - the non-zero spectrum of a stochastic matrix. A detailed comparison between the classical and quantum case is given. We discuss applications of our findings in the analysis of time-series and correlation functions and provide a general characterization of the peripheral spectrum, i.e., the set of eigenvalues of modulus one. We show that while the peripheral eigen-system has the same structure for all Schwarz maps, the constraints imposed on the rest of the spectrum change immediately if one departs from complete positivity.
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En línea:
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https://eprints.ucm.es/id/eprint/12156/1/1005.4545v1.pdf
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