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 Motivated by recent studies of holographic complexity, we examine the question of
circuit complexity in quantum field theory. We provide a quantum circuit model for the …

A bstract We evaluate the full time dependence of holographic complexity in various eternal
black hole backgrounds using both the complexity= action (CA) and the complexity= volume …

A bstract We propose an optimization procedure for Euclidean path-integrals that evaluate
CFT wave functionals in arbitrary dimensions. The optimization is performed by minimizing …

We formulate Nielsen's geometric approach to circuit complexity in the context of two-
dimensional conformal field theories, where series of conformal transformations are …

We introduce a new optimization procedure for Euclidean path integrals, which compute
wave functionals in conformal field theories (CFTs). We optimize the background metric in …

A bstract In this paper, we study the physical significance of the thermodynamic volumes of
AdS black holes using the Noether charge formalism of Iyer and Wald. After applying this …

We study circuit complexity for conformal field theory states in an arbitrary number of
dimensions. Our circuits start from a primary state and move along a unitary representation …

A bstract Understanding the fate of semi-classical black hole solutions at very late times is
one of the most important open questions in quantum gravity. In this paper, we provide a …

A bstract We examine the circuit complexity of coherent states in a free scalar field theory,
applying Nielsen's geometric approach as in [1]. The complexity of the coherent states have …