Memorias de investigación
Book chapters:
Towards a quantum sampling theory: the case of finite groups
Year:2019

Research Areas
  • Physics chemical and mathematical,
  • Group theory,
  • Physics - Quantum physics

Information
Abstract
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.
International
Si
10.1007/978-3-030-24748-5-11
Book Edition
1
Book Publishing
Springer Nature / Springer
ISBN
978-3-030-24748-5
Series
Book title
Classical and Quantum Physics: 60 years Alberto Ibort Fest, Geometry, Dynamics and Control
From page
203
To page
223
Participants

Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Centro o Instituto I+D+i: Centro de I+d+i en Procesado de la Información y Telecomunicaciones