Volume-law entanglement entropy of typical pure quantum states

E Bianchi, L Hackl, M Kieburg, M Rigol, L Vidmar - PRX Quantum, 2022 - APS
The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

Symmetry-resolved Page curves

S Murciano, P Calabrese, L Piroli - Physical Review D, 2022 - APS
Given a statistical ensemble of quantum states, the corresponding Page curve quantifies the
average entanglement entropy associated with each possible spatial bipartition of the …

Rainbow scars: From area to volume law

CM Langlett, ZC Yang, J Wildeboer, AV Gorshkov… - Physical Review B, 2022 - APS
Quantum many-body scars (QMBS) constitute a new quantum dynamical regime in which
rare “scarred” eigenstates mediate weak ergodicity breaking. One open question is to …

Page curve for fermionic Gaussian states

E Bianchi, L Hackl, M Kieburg - Physical Review B, 2021 - APS
In a seminal paper, Page found the exact formula for the average entanglement entropy for a
pure random state. We consider the analogous problem for the ensemble of pure fermionic …

Structure of chaotic eigenstates and their entanglement entropy

C Murthy, M Srednicki - Physical Review E, 2019 - APS
We consider a chaotic many-body system (ie, one that satisfies the eigenstate thermalization
hypothesis) that is split into two subsystems, with an interaction along their mutual boundary …

Entanglement of midspectrum eigenstates of chaotic many-body systems: Reasons for deviation from random ensembles

M Haque, PA McClarty, IM Khaymovich - Physical Review E, 2022 - APS
Eigenstates of local many-body interacting systems that are far from spectral edges are
thought to be ergodic and close to being random states. This is consistent with the …

Typical entanglement entropy in the presence of a center: Page curve and its variance

E Bianchi, P Dona - Physical Review D, 2019 - APS
In a quantum system in a pure state, a subsystem generally has a nonzero entropy because
of entanglement with the rest of the system. Is the average entanglement entropy of pure …

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 …

Eigenstate capacity and Page curve in fermionic Gaussian states

B Bhattacharjee, P Nandy, T Pathak - Physical Review B, 2021 - APS
Capacity of entanglement (CoE), an information-theoretic measure of entanglement, defined
as the variance of modular Hamiltonian, is known to capture the deviation from the maximal …

Dequantizing quantum machine learning models using tensor networks

S Shin, YS Teo, H Jeong - Physical Review Research, 2024 - APS
Ascertaining whether a classical model can efficiently replace a given quantum model—
dequantization—is crucial in assessing the true potential of quantum algorithms. In this work …