SU(p,q) coherent states and a Gaussian de Finetti theorem

DOI10.1063/1.5007334zbMath1401.81056arXiv1612.05080OpenAlexW2964174996MaRDI QIDQ4639372

Anthony Leverrier

Publication date: 9 May 2018

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

Full work available at URL: https://arxiv.org/abs/1612.05080

zbMATH Keywords

\(\operatorname{SU}(p,q)\) coherent statesbosonic subspaceGaussian de Finetti theorem

Mathematics Subject Classification ID

Model quantum field theories (81T10) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Cryptography (94A60) Quantum optics (81V80) Coherent states (81R30) Quantum cryptography (quantum-theoretic aspects) (81P94) Bergman spaces and Fock spaces (30H20)

Related Items (4)

Uncertainty relations with quantum memory for the Wehrl entropy ⋮ Schur-Weyl duality for the Clifford group with applications: property testing, a robust Hudson theorem, and de Finetti representations ⋮ Massive conformal particles with non-abelian charges from free \(\text{U}(2N, 2N)\)-twistor dynamics: quantization and coherent states ⋮ Gaussian distributions on the space of symmetric positive definite matrices from Souriau's Gibbs state for Siegel domains by coadjoint orbit and moment map

Cites Work

• A dozen de Finetti-style results in search of a theory
• One-and-a-half quantum de Finetti theorems
• Coherent states for arbitrary Lie group
• Irreducible unitary representations of the Lorentz group
• The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases
• On Quantum Estimation, Quantum Cloning and Finite Quantum de Finetti Theorems
• Finite de Finetti Theorem for Infinite-Dimensional Systems
• Quantum de Finetti theorems and mean-field theory from quantum phase space representations
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• A de Finetti representation for finite symmetric quantum states
• SECURITY OF QUANTUM KEY DISTRIBUTION
• A most compendious and facile quantum de Finetti theorem
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
• A fermionic de Finetti theorem
• Unknown quantum states: The quantum de Finetti representation
• The computational complexity of linear optics
• Quantum Information Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: SU(p,q) coherent states and a Gaussian de Finetti theorem