Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

We investigate notions of complexity of states in continuous many-body quantum systems.
We focus on Gaussian states which include ground states of free quantum field theories and …

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 …

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 introduce a coarse-graining transformation for tensor networks that can be applied to
study both the partition function of a classical statistical system and the Euclidean path …

We introduce a class of phase transitions separating quantum states with different
entanglement features. An example of such an “entanglement phase transition” is provided …

The discussions in § 2 and § 3 make it rather clear that while we have to evaluate a
sequence of functional integrals to compute the Rényi entropies, these are rather complex …

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 We investigate a new approach to holography in asymptotically AdS spacetimes, in
which time rather than space is the emergent dimension. By making a sufficiently large T 2 …

We propose a new duality relation between codimension-two space-like surfaces in
gravitational theories and quantum states in dual Hilbert spaces. This surface state …