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An intuitive construction of modular flow
Jonathan Sorce
The theory of modular flow has proved extremely useful for applying thermodynamic reasoning to out-of-equilibrium states in quantum field theory. However, the standard proofs of th…
A short proof of Tomita's theorem
Jonathan Sorce
Tomita-Takesaki theory associates a positive operator called the "modular operator" with a von Neumann algebra and a cyclic-separating vector. Tomita's theorem says that the unitar…
Generalized entropy for general subregions in quantum gravity
Kristan Jensen, Jonathan Sorce, Antony Speranza
We consider quantum algebras of observables associated with subregions in theories of Einstein gravity coupled to matter in the limit. When the subregion is spat…
Reflected entropy is not a correlation measure
Patrick Hayden, Marius Lemm, Jonathan Sorce
By explicit counterexample, we show that the "reflected entropy" defined by Dutta and Faulkner is not monotonically decreasing under partial trace, and so is not a measure of physi…
Notes on the type classification of von Neumann algebras
Jonathan Sorce
These notes provide an explanation of the type classification of von Neumann algebras, which has made many appearances in recent work on entanglement in quantum field theory and qu…