Entanglement spreading in a minimal model of maximal many-body quantum chaos
The spreading of entanglement in out-of-equilibrium quantum systems is currently at the
center of intense interdisciplinary research efforts involving communities with interests …
center of intense interdisciplinary research efforts involving communities with interests …
Quantum Fourier transform has small entanglement
The quantum Fourier transform (QFT) is a key component of many important quantum
algorithms, most famously being the essential ingredient in Shor's algorithm for factoring …
algorithms, most famously being the essential ingredient in Shor's algorithm for factoring …
Operator entanglement in local quantum circuits I: Chaotic dual-unitary circuits
The entanglement in operator space is a well established measure for the complexity of the
quantum many-body dynamics. In particular, that of local operators has recently been …
quantum many-body dynamics. In particular, that of local operators has recently been …
Growth of Rényi entropies in interacting integrable models and the breakdown of the quasiparticle picture
Rényi entropies are conceptually valuable and experimentally relevant generalizations of
the celebrated von Neumann entanglement entropy. After a quantum quench in a clean …
the celebrated von Neumann entanglement entropy. After a quantum quench in a clean …
Scrambling in random unitary circuits: Exact results
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 …
on the tripartite information proposed by Hosur et al. We provide exact results for the …
From dual-unitary to quantum Bernoulli circuits: Role of the entangling power in constructing a quantum ergodic hierarchy
Deterministic classical dynamical systems have an ergodic hierarchy, from ergodic through
mixing, to Bernoulli systems that are “as random as a coin toss.” Dual-unitary circuits have …
mixing, to Bernoulli systems that are “as random as a coin toss.” Dual-unitary circuits have …
Operator entanglement in interacting integrable quantum systems: the case of the rule 54 chain
In a many-body quantum system, local operators in the Heisenberg picture O (t)= ei H t O ei
H t spread as time increases. Recent studies have attempted to find features of that …
H t spread as time increases. Recent studies have attempted to find features of that …
Entanglement negativity and mutual information after a quantum quench: exact link from space-time duality
We study the growth of entanglement between two adjacent regions in a tripartite, one-
dimensional many-body system after a quantum quench. Combining a replica trick with a …
dimensional many-body system after a quantum quench. Combining a replica trick with a …
Exact dynamics in dual-unitary quantum circuits
We consider the class of dual-unitary quantum circuits in 1+ 1 dimensions and introduce a
notion of “solvable” matrix product states (MPSs), defined by a specific condition which …
notion of “solvable” matrix product states (MPSs), defined by a specific condition which …
Information scrambling over bipartitions: Equilibration, entropy production, and typicality
In recent years, the out-of-time-order correlator (OTOC) has emerged as a diagnostic tool for
information scrambling in quantum many-body systems. Here, we present exact analytical …
information scrambling in quantum many-body systems. Here, we present exact analytical …