We give a pedagogical review of how concepts from quantum information theory build up
the gravitational side of the anti-de Sitter/conformal field theory correspondence. The review …

We study various aspects of wormholes that are made traversable by an interaction beween
the two asymptotic boundaries. We concentrate on the case of nearly‐gravity and discuss a …

A bstract We study modular Hamiltonians corresponding to the vacuum state for deformed
half-spaces in relativistic quantum field theories on\({\mathrm {\mathbb {R}}}^{1, d-1}\). We …

A bstract We prove a conjectured lower bound on< T__ (x)> ψ in any state ψ of a CFT on
Minkowski space, dubbed the Quantum Null Energy Condition (QNEC). The bound is given …

We compute the modular Hamiltonians of regions having the future horizon lying on a null
plane. For a CFT this is equivalent to regions with a boundary of arbitrary shape lying on the …

We study the relative entropy in QFT comparing the vacuum state to a special family of
purifications determined by an input state and constructed using relative modular flow. We …

The vacuum entanglement entropy of Maxwell theory, when evaluated by standard methods,
contains an unexpected term with no known statistical interpretation. We resolve this two …

These notes grew from a series of lectures given by the authors during the last decade. They
will be published in the proceedings of TASI 2021. After a brief introduction to quantum …

We calculate the analytic form of the vacuum modular Hamiltonian for a two interval region
and the algebra of a current j (x)=∂ ϕ (x) corresponding to a chiral free scalar ϕ in d= 2. We …

We study the vacuum-subtracted von Neumann entropy of a segment on a null plane. We
argue that for interacting quantum field theories in more than two dimensions, this entropy …