297 citations · 4k across the 84 of their papers we have counts for
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quant-ph2020★ 16 cited
Variational approach to relative entropies (with application to QFT)
Stefan Hollands
We define a new divergence of von Neumann algebras using a variational expression that is similar in nature to Kosaki's formula for the relative entropy. Our divergence satisfies t…
quant-ph2020★ 4 cited
Approximate recoverability and relative entropy II: 2-positive channels of general v. Neumann algebras
Thomas Faulkner, Stefan Hollands
We generalize our results in paper I in this series to quantum channels between general v. Neumann algebras, proving the approximate recoverability of states which undergo a small…
quant-ph2020★ 4 cited
Approximate recovery and relative entropy I. general von Neumann subalgebras
Thomas Faulkner, Stefan Hollands, Brian Swingle +1
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 re…