Quantum computational complexity estimates the difficulty of constructing quantum states
from elementary operations, a problem of prime importance for quantum computation …

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 We study a notion of operator growth known as Krylov complexity in free and
interacting massive scalar quantum field theories in d-dimensions at finite temperature. We …

In this review, we present the ongoing developments in bridging the gap between
holography and experiments. To this end, we discuss information scrambling and models of …

Motivated by holographic complexity proposals as novel probes of black hole spacetimes,
we explore circuit complexity for thermofield double (TFD) states in free scalar quantum field …

A bstract We study the entanglement islands and subsystem volume complexity
corresponding to the left/right entanglement of a conformal defect in d-dimensions in …

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 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 We explore spread and spectral complexity in quantum systems that exhibit a
transition from integrability to chaos, namely the mixed-field Ising model and the next-to …

We consider circuit complexity in certain interacting scalar quantum field theories, mainly
focusing on the ϕ 4theory. We work out the circuit complexity for evolving from a nearly …