Surprises in the deep Hilbert space of all-to-all systems: From superexponential scrambling to slow entanglement growth

Z Qi, T Scaffidi, X Cao - Physical Review B, 2023 - APS
The quantum dynamics of spin systems with uniform all-to-all interaction are often studied in
the totally symmetric space (TSS) of maximal total spin. However, the TSS states are atypical …

Can neural quantum states learn volume-law ground states?

G Passetti, D Hofmann, P Neitemeier, L Grunwald… - Physical Review Letters, 2023 - APS
We study whether neural quantum states based on multilayer feed-forward networks can
find ground states which exhibit volume-law entanglement entropy. As a testbed, we employ …

Optimizing strongly interacting fermionic Hamiltonians

MB Hastings, R O'Donnell - Proceedings of the 54th Annual ACM …, 2022 - dl.acm.org
The fundamental problem in much of physics and quantum chemistry is to optimize a low-
degree polynomial in certain anticommuting variables. Being a quantum mechanical …

Neural-shadow quantum state tomography

V Wei, WA Coish, P Ronagh, CA Muschik - Physical Review Research, 2024 - APS
Quantum state tomography (QST) is the art of reconstructing an unknown quantum state
through measurements. It is a key primitive for developing quantum technologies. Neural …

Strongly interacting fermions are non-trivial yet non-glassy

ER Anschuetz, CF Chen, BT Kiani, R King - arXiv preprint arXiv …, 2024 - arxiv.org
Random spin systems at low temperatures are glassy and feature computational hardness
in finding low-energy states. We study the random all-to-all interacting fermionic Sachdev …

Optimizing sparse fermionic hamiltonians

Y Herasymenko, M Stroeks, J Helsen, B Terhal - Quantum, 2023 - quantum-journal.org
We consider the problem of approximating the ground state energy of a fermionic
Hamiltonian using a Gaussian state. In sharp contrast to the dense case [1, 2], we prove that …

Nematic phases and elastoresistivity from a multiorbital non-Fermi liquid

A Hardy, A Haldar… - Proceedings of the …, 2023 - National Acad Sciences
We propose and study a two-orbital lattice extension of the Sachdev-Ye-Kitaev model in the
large-N limit. The phase diagram of this model features a high-temperature isotropic non …

The structure of the Majorana Clifford group

V Bettaque, B Swingle - arXiv preprint arXiv:2407.11319, 2024 - arxiv.org
In quantum information science, Clifford operators and stabilizer codes play a central role for
systems of qubits (or qudits). In this paper, we study the analogous objects for systems of …

NoRA: A Tensor Network Ansatz for Volume-Law Entangled Equilibrium States of Highly Connected Hamiltonians

V Bettaque, B Swingle - Quantum, 2024 - quantum-journal.org
Motivated by the ground state structure of quantum models with all-to-all interactions such as
mean-field quantum spin glass models and the Sachdev-Ye-Kitaev (SYK) model, we …

Efficiency of the hidden fermion determinant states Ansatz in the light of different complexity measures

BJ Wurst, DM Kennes, JB Profe - arXiv preprint arXiv:2411.04527, 2024 - arxiv.org
Finding reliable approximations to the quantum many-body problem is one of the central
challenges of modern physics. Elemental to this endeavor is the development of advanced …