We propose a method for detecting bipartite entanglement in a many-body mixed state
based on estimating moments of the partially transposed density matrix. The estimates are …

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 …

When a quantum system initialized in a product state is subjected to either coherent or
incoherent dynamics, the entropy of any of its connected partitions generically increases as …

A bstract Since the work of Ryu and Takayanagi, deep connections between quantum
entanglement and spacetime geometry have been revealed. The negative eigenvalues of …

We study the scrambling of quantum information in local random unitary circuits by focusing
on the tripartite information proposed by Hosur et al. We provide exact results for the …

Quantum chaos has become a cornerstone of physics through its many applications. One
trademark of quantum chaotic systems is the spread of local quantum information, which …

The entanglement properties of random pure states are relevant to a variety of problems
ranging from chaotic quantum dynamics to black-hole physics. The averaged bipartite …

Quantum dynamics is of fundamental interest and has implications in quantum information
processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to …

A bstract We derive dynamics of the entanglement wedge cross section from the reflected
entropy for local operator quench states in the holographic CFT. By comparing between the …

A bstract Recent work has shown how to understand the Page curve of an evaporating black
hole from replica wormholes. However, more detailed information about the structure of its …