Theoretical formulation of finite-dimensional discrete phase spaces. I: Algebraic structures and uncertainty principles

DOI10.1016/j.aop.2012.02.015zbMath1261.81084OpenAlexW2064764701MaRDI QIDQ436261

M. Ruzzi, Marcelo A. Marchiolli

Publication date: 20 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.aop.2012.02.015

zbMATH Keywords

uncertainty principleJacobi theta functiondiscrete coherent statesfinite-dimensional discrete phase-space

Mathematics Subject Classification ID

Quantum optics (81V80) Coherent states (81R30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (7)

SPIN SQUEEZING AND ENTANGLEMENT VIA FINITE-DIMENSIONAL DISCRETE PHASE-SPACE DESCRIPTION ⋮ On the discrete Wigner function for $\mathrm{SU(N)}$ ⋮ Phase-number uncertainty from Weyl commutation relations ⋮ From the discrete Weyl–Wigner formalism for symmetric ordering to a number–phase Wigner function ⋮ General phase spaces: from discrete variables to rotor and continuum limits ⋮ Theoretical formulation of finite-dimensional discrete phase spaces. II. On the uncertainty principle for Schwinger unitary operators ⋮ Quasi-probability distributions in loop quantum cosmology

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