Positive operator valued measures covariant with respect to an irreducible representation

DOI10.1063/1.1598277zbMath1062.43018arXivquant-ph/0302187OpenAlexW3105362387MaRDI QIDQ4833144

Alessandro Toigo, Ernesto De Vito, Gianni Cassinelli

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0302187

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Unitary representations of locally compact groups (22D10) Vector-valued measures and integration (46G10)

Related Items (16)

Phase space quantization and the operator moment problem ⋮ A class of stochastic products on the convex set of quantum states ⋮ Covariant observables on a nonunimodular group ⋮ Position and momentum observables on R and on R3 ⋮ Group-covariant stochastic products and phase-space convolution algebras ⋮ Efficient Quantum Algorithms for Testing Symmetries of Open Quantum Systems ⋮ Convolutions for Berezin quantization and Berezin-Lieb inequalities ⋮ Universal joint-measurement uncertainty relation for error bars ⋮ Continuous variable tomographic measurements ⋮ Realistic eight-port homodyne detection and covariant phase space observables ⋮ Moment operators of the Cartesian margins of the phase space observables ⋮ Measurement uncertainty relations ⋮ Normal covariant quantization maps ⋮ Measuring position and momentum together ⋮ Semispectral measures as convolutions and their moment operators ⋮ Affine quantum harmonic analysis

Cites Work

• Quantum detection and estimation theory
• Coherent states, wavelets and their generalizations
• Représentations de groupes localement compacts
• Operational Quantum Physics
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