arXiv:quant-ph/0606139AbstractReferencesReviewsResources
A Finite de Finetti Theorem for Infinite-Dimensional Systems
Christian D'Cruz, Tobias J. Osborne, Ruediger Schack
Published 2006-06-16, updated 2007-03-08Version 4
We formulate and prove a de Finetti representation theorem for finitely exchangeable states of a quantum system consisting of k infinite-dimensional subsystems. The theorem is valid for states that can be written as the partial trace of a pure state chosen from a family of subsets C_n of the full symmetric subspace for $n$ subsystems. We show that such states become arbitrarily close to mixtures of pure power states as n increases. We give a second equivalent characterization of the family C_n.
Comments: 4 pages, 2 figures
Journal: Phys. Rev. Lett. 98, 160406 (2007)
Categories: quant-ph
Keywords: infinite-dimensional systems, finetti theorem, pure power states, full symmetric subspace, finetti representation theorem
Tags: journal article
Related articles: Most relevant | Search more
arXiv:1609.08584 [quant-ph] (Published 2016-09-27)
Asymmetric de Finetti Theorem for Infinite-dimensional Quantum Systems
On quantum estimation, quantum cloning and finite quantum de Finetti theorems
arXiv:1909.09865 [quant-ph] (Published 2019-09-21)
An optical implementation of quantum bit commitment using infinite-dimensional systems