Theoretical formulation of finite-dimensional discrete phase spaces. II. On the uncertainty principle for Schwinger unitary operators

DOI10.1016/j.aop.2013.05.009zbMath1295.81100arXiv1304.0253OpenAlexW3100518609MaRDI QIDQ2442340

Marcelo A. Marchiolli, Paulo E. M. F. Mendonça

Publication date: 3 April 2014

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0253

zbMATH Keywords

discrete Fourier transformuncertainty principlefinite-dimensional discrete phase spaceHarper functionsMassar-Spindel inequalitySchwinger unitary operators

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state estimation, approximate cloning (81P50)

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Cites Work

• Unnamed Item
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• Unnamed Item
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• Theoretical formulation of finite-dimensional discrete phase spaces. I: Algebraic structures and uncertainty principles
• Finite oscillator obtained through finite frame quantization
• Finite-dimensional Hilbert space and frame quantization
• Finite oscillator models: the Hahn oscillator
• Classical and Quantum Information
• The Variance of the Product of K Random Variables
• Factorization properties of finite spaces
• Jacobi ϑ-functions and discrete Fourier transforms
• The Legacy of Alladi Ramakrishnan in the Mathematical Sciences
• A discrete finite-dimensional phase space approach for the description of Fe8 magnetic clusters: Wigner and Husimi functions
• Eigenvectors and functions of the discrete Fourier transform
• Eigenvalues and eigenvectors of the finite Fourier transform
• Number-phase uncertainty relations
• Wave packets in discrete quantum phase space
• The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform
• SPIN SQUEEZING AND ENTANGLEMENT VIA FINITE-DIMENSIONAL DISCRETE PHASE-SPACE DESCRIPTION

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