A bstract We study circuit complexity for free fermionic field theories and Gaussian states.
Our definition of circuit complexity is based on the notion of geodesic distance on the Lie …

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 …

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 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 …

A bstract The concepts of operator size and computational complexity play important roles in
the study of quantum chaos and holographic duality because they help characterize the …

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 …

A bstract In this second part of the study initiated in [1], we investigate holographic
complexity for eternal black hole backgrounds perturbed by shock waves, with both the …

A bstract We study a precise and computationally tractable notion of operator complexity in
holographic quantum theories, including the ensemble dual of Jackiw-Teitelboim gravity and …

A bstract We study the quantum complexity of time evolution in large-N chaotic systems, with
the SYK model as our main example. This complexity is expected to increase linearly for …

We propose a new diagnostic for quantum chaos. We show that the time evolution of
complexity for a particular type of target state can provide equivalent information about the …