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Título:
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Assessing Quantum Dimensionality from Observable Dynamics
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Autores:
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Wolf, Michael M. ;
Pérez García, David
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Tipo de documento:
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texto impreso
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Editorial:
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American Physical Society, 2009-05-15
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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 = Publicado
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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Using tools from classical signal processing, we show how to determine the dimensionality of a quantum system as well as the effective size of the environment's memory from observable dynamics in a model-independent way. We discuss the dependence on the number of conserved quantities, the relation to ergodicity and prove a converse showing that a Hilbert space of dimension D+2 is sufficient to describe every bounded sequence of measurements originating from any D-dimensional linear equations of motion. This is in sharp contrast to classical stochastic processes which are subject to more severe restrictions: a simple spectral analysis shows that the gap between the required dimensionality of a quantum and a classical description of an observed evolution can be arbitrary large.
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En línea:
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https://eprints.ucm.es/id/eprint/17748/1/PerezGarcia18.pdf
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