Descripción
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Nyquist-Shannon sampling theorem, instrumental in classical telecom- munication technologies, is extended to quantum systems supporting a unitary rep- resentation of a finite group G. Two main ideas from the classical theory having natural counterparts in the quantum setting: frames and invariant subspaces, pro- vide the mathematical background for the theory. The main ingredients of classical sampling theorems are discussed and their quantum counterparts are thoroughly an- alyzed in this simple situation. A few examples illustrating the obtained results are discussed. | |
Internacional
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Si |
DOI
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10.1007/978-3-030-24748-5-11 |
Edición del Libro
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1 |
Editorial del Libro
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Springer Nature / Springer |
ISBN
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978-3-030-24748-5 |
Serie
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Título del Libro
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Classical and Quantum Physics: 60 years Alberto Ibort Fest, Geometry, Dynamics and Control |
Desde página
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203 |
Hasta página
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223 |