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Título:
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A quantum version of Wielandt's inequality
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Autores:
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Sanz, Mikel ;
Pérez García, David ;
Cirac, Juan I. ;
Wolf, Michael
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Tipo de documento:
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texto impreso
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Editorial:
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IEEE, 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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In this paper, Wielandt's inequality for classical channels is extended to quantum channels. That is, an upper bound to the number of times a channel must be applied, so that it maps any density operator to one with full rank, is found. Using this bound, dichotomy theorems for the zero--error capacity of quantum channels and for the Matrix Product State (MPS) dimension of ground states of frustration-free Hamiltonians are derived. The obtained inequalities also imply new bounds on the required interaction-range of Hamiltonians with unique MPS ground state.
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En línea:
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https://eprints.ucm.es/id/eprint/12162/1/0909.5347v2.pdf
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