We review recent developments in Jackiw–Teitelboim gravity. This is a simple solvable
model of quantum gravity in two dimensions (that arises eg from the s-wave sector of higher …

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 propose a measure of quantum state complexity defined by minimizing the spread of the
wave function over all choices of basis. Our measure is controlled by the “survival amplitude” …

We develop a geometric approach to operator growth and Krylov complexity in many-body
quantum systems governed by symmetries. We start by showing a direct link between a …

A bstract Krylov complexity measures the spread of the wavefunction in the Krylov basis,
which is constructed using the Hamiltonian and an initial state. We investigate the evolution …

A bstract The emergence of the bulk Hilbert space is a mysterious concept in holography. In
[1], the SYK model was solved in the double scaling limit by summing chord diagrams. Here …

We present a new infinite class of gravitational observables in asymptotically anti–de Sitter
space living on codimension-one slices of the geometry, the most famous of which is the …

We construct an infinite family of microstates with geometric interiors for eternal black holes
in general relativity with a negative cosmological constant in any dimension. Wormholes in …

A bstract Quantum complexity, suitably defined, has been suggested as an important probe
of late-time dynamics of black holes, particularly in the context of AdS/CFT. A notion of …

A bstract There are various definitions of the concept of complexity in Quantum Field Theory
as well as for finite quantum systems. For several of them there are conjectured holographic …