Volume-law entanglement entropy of typical pure quantum states
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 …
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …
Symmetry-resolved Page curves
Given a statistical ensemble of quantum states, the corresponding Page curve quantifies the
average entanglement entropy associated with each possible spatial bipartition of the …
average entanglement entropy associated with each possible spatial bipartition of the …
Rainbow scars: From area to volume law
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 …
rare “scarred” eigenstates mediate weak ergodicity breaking. One open question is to …
Page curve for fermionic Gaussian states
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 …
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 …
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
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 …
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
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 …
of entanglement with the rest of the system. Is the average entanglement entropy of pure …
Page curves and typical entanglement in linear optics
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 …
Hilbert space that are relevant to universal continuous-variable quantum computation as …
Eigenstate capacity and Page curve in fermionic Gaussian states
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 …
as the variance of modular Hamiltonian, is known to capture the deviation from the maximal …
Dequantizing quantum machine learning models using tensor networks
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 …
dequantization—is crucial in assessing the true potential of quantum algorithms. In this work …