This paper provides an explanation of the type classification of von Neumann algebras,
which has made many appearances in the recent work on entanglement in quantum field …

The new edition provided the opportunity of adding a new chapter entitled" Principles and
Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at …

A subtheory of a quantum field theory specifies von Neumann subalgebras (the
'observables' in the space-time region) of the von Neumann algebras (the'field'localized in) …

In this paper we use the AdS/CFT correspondence to refine and then establish a set of old
conjectures about symmetries in quantum gravity. We first show that any global symmetry …

A bstract In AdS/CFT we consider a class of bulk geometric quantities inside the
entanglement wedge called reflected minimal surfaces. The areas of these surfaces are dual …

A bstract A manifestation of the black hole information loss problem is that the two-point
function of probe operators in a large Anti-de Sitter black hole decays in time, whereas, on …

We identify the statistical dimension of a superselection sector in a local quantum field
theory with the square root of the index of a localized endomorphism of the quasi-local C …

The generalized second law is proven for semiclassical quantum fields falling across a
causal horizon, minimally coupled to general relativity. The proof is much more general than …

A bstract We show that generalized symmetries cannot be charged under a continuous
global symmetry having a Noether current. Further, only non-compact generalized …

We develop an operational framework, combining relativistic quantum measurement theory
with quantum reference frames (QRFs), in which local measurements of a quantum field on …