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Título:
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Rank-one quantum games
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Autores:
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Cooney, T. ;
Junge, M. ;
Palazuelos Cabezón, Carlos ;
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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Springer Basel, 2015
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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/restrictedAccess
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: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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In this work, we study rank-one quantum games. In particular, we focus on the study of the computability of the entangled value ?*. We show that the value ?* can be efficiently approximated up to a multiplicative factor of 4. We also study the behavior of ?* under the parallel repetition of rank-one quantum games, showing that it does not verify a perfect parallel repetition theorem. To obtain these results, we first connect rank-one games with the mathematical theory of operator spaces. We also reprove with these new tools essentially known results about the entangled value of rank-one games with one-way communication ? qow . In particular, we show that ? qow can be computed efficiently and it satisfies a perfect parallel repetition theorem.
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En línea:
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https://eprints.ucm.es/id/eprint/30050/1/PerezGarcia107.pdf
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