Entanglement Growth and Minimal Membranes in () Random Unitary Circuits

P Sierant, M Schirò, M Lewenstein, X Turkeshi - Physical Review Letters, 2023 - APS
Understanding the nature of entanglement growth in many-body systems is one of the
fundamental questions in quantum physics. Here, we study this problem by characterizing …

Universality in volume-law entanglement of scrambled pure quantum states

YO Nakagawa, M Watanabe, H Fujita… - Nature …, 2018 - nature.com
A pure quantum state can fully describe thermal equilibrium as long as one focuses on local
observables. The thermodynamic entropy can also be recovered as the entanglement …

Page curves and typical entanglement in linear optics

JT Iosue, A Ehrenberg, D Hangleiter, A Deshpande… - Quantum, 2023 - quantum-journal.org
Bosonic Gaussian states are a special class of quantum states in an infinite dimensional
Hilbert space that are relevant to universal continuous-variable quantum computation as …

Random pure states: Quantifying bipartite entanglement beyond the linear statistics

P Vivo, MP Pato, G Oshanin - Physical Review E, 2016 - APS
We analyze the properties of entangled random pure states of a quantum system partitioned
into two smaller subsystems of dimensions N and M. Framing the problem in terms of …

Average coherence and its typicality for random pure states

U Singh, L Zhang, AK Pati - Physical Review A, 2016 - APS
We investigate the generic aspects of quantum coherence guided by the concentration of
measure phenomenon. We find the average relative entropy of coherence of pure quantum …

Large block properties of the entanglement entropy of free disordered fermions

A Elgart, L Pastur, M Shcherbina - Journal of Statistical Physics, 2017 - Springer
We consider a macroscopic disordered system of free d-dimensional lattice fermions whose
one-body Hamiltonian is a Schrödinger operator H with ergodic potential. We assume that …

Minimal energy cost of entanglement extraction

L Hackl, RH Jonsson - Quantum, 2019 - quantum-journal.org
We compute the minimal energy cost for extracting entanglement from the ground state of a
bosonic or fermionic quadratic system. Specifically, we find the minimal energy increase in …

Quantum walks as thermalisations, with application to fullerene graphs

S Dhamapurkar, O Dahlsten - Physica A: Statistical Mechanics and its …, 2024 - Elsevier
We consider to what extent quantum walks can constitute models of thermalisation,
analogously to how classical random walks can be models for classical thermalisation. In a …

Generation of pseudo-random quantum states on actual quantum processors

G Cenedese, M Bondani, D Rosa, G Benenti - Entropy, 2023 - mdpi.com
The generation of a large amount of entanglement is a necessary condition for a quantum
computer to achieve quantum advantage. In this paper, we propose a method to efficiently …

Square root statistics of density matrices and their applications

L Ye, Y Huang, JC Osborn, L Wei - Entropy, 2024 - mdpi.com
To estimate the degree of quantum entanglement of random pure states, it is crucial to
understand the statistical behavior of entanglement indicators such as the von Neumann …