



@article {2641,
	title = {Approximate recovery and relative entropy I. general von Neumann subalgebras},
	year = {2020},
	month = {6/14/2020},
	abstract = {<p>We prove the existence of a universal recovery channel that approximately recovers states on a v. Neumann subalgebra when the change in relative entropy, with respect to a fixed reference state, is small. Our result is a generalization of previous results that applied to type-I v. Neumann algebras by Junge at al. [arXiv:1509.07127]. We broadly follow their proof strategy but consider here arbitrary v. Neumann algebras, where qualitatively new issues arise. Our results hinge on the construction of certain analytic vectors and computations/estimations of their Araki-Masuda Lp norms. We comment on applications to the quantum null energy condition.</p>},
	url = {https://arxiv.org/abs/2006.08002},
	author = {Thomas Faulkner and Stefan Hollands and Brian Swingle and Yixu Wang}
}
@article {2601,
	title = {Approximate recovery and relative entropy I. general von Neumann subalgebras},
	year = {2020},
	month = {6/14/2020},
	abstract = {<p>We prove the existence of a universal recovery channel that approximately recovers states on a v. Neumann subalgebra when the change in relative entropy, with respect to a fixed reference state, is small. Our result is a generalization of previous results that applied to type-I v. Neumann algebras by Junge at al. [arXiv:1509.07127]. We broadly follow their proof strategy but consider here arbitrary v. Neumann algebras, where qualitatively new issues arise. Our results hinge on the construction of certain analytic vectors and computations/estimations of their Araki-Masuda Lp norms. We comment on applications to the quantum null energy condition.</p>},
	url = {https://arxiv.org/abs/2006.08002},
	author = {Thomas Faulkner and Stefan Hollands and Brian Swingle and Yixu Wang}
}
