A most compendious and facile quantum de Finetti theorem

DOI10.1063/1.3049751zbMath1189.81123arXivquant-ph/0703210OpenAlexW1963693964MaRDI QIDQ3649932

Graeme Mitchison, Robert Koenig

Publication date: 7 December 2009

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0703210

zbMATH Keywords

quantum theory

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum stochastic calculus (81S25)

Related Items (8)

Semidefinite programming hierarchies for constrained bilinear optimization ⋮ A fermionic de Finetti theorem ⋮ De Finetti theorem on the CAR algebra ⋮ Limitations of semidefinite programs for separable states and entangled games ⋮ The sum-of-squares hierarchy on the sphere and applications in quantum information theory ⋮ SU(p,q) coherent states and a Gaussian de Finetti theorem ⋮ A generalization of quantum Stein's lemma ⋮ Schur-Weyl duality for the Clifford group with applications: property testing, a robust Hudson theorem, and de Finetti representations

Cites Work

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• Quantum Key Distribution Based on Private States: Unconditional Security Over Untrusted Channels With Zero Quantum Capacity
• Equilibrium states for mean field models
• Coding theorem and strong converse for quantum channels
• Entanglement purification of unknown quantum states
• Lie groups beyond an introduction

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