Empowering deep neural quantum states through efficient optimization

A Chen, M Heyl - Nature Physics, 2024 - nature.com
Computing the ground state of interacting quantum matter is a long-standing challenge,
especially for complex two-dimensional systems. Recent developments have highlighted the …

Broken-symmetry ground states of the heisenberg model on the pyrochlore lattice

N Astrakhantsev, T Westerhout, A Tiwari, K Choo… - Physical Review X, 2021 - APS
The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-
dimensional spin system with a rich phase diagram. Besides hosting several ordered …

Emergence of classical magnetic order from anderson towers: Quantum darwinism in action

OM Sotnikov, EA Stepanov, MI Katsnelson, F Mila… - Physical Review X, 2023 - APS
Environment is assumed to play a negative role in quantum mechanics, destroying the
coherence in a quantum system and, thus, randomly changing its state. However, for a …

Thermalization and criticality on an analog-digital quantum simulator

TI Andersen, N Astrakhantsev, AH Karamlou… - arxiv preprint arxiv …, 2024 - arxiv.org
Understanding how interacting particles approach thermal equilibrium is a major challenge
of quantum simulators. Unlocking the full potential of such systems toward this goal requires …

Time evolution of uniform sequential circuits

N Astrakhantsev, SH Lin, F Pollmann, A Smith - Physical Review Research, 2023 - APS
Simulating time evolution of generic quantum many-body systems using classical numerical
approaches has an exponentially growing cost either with evolution time or with the system …

Learning ground states of gapped quantum Hamiltonians with Kernel Methods

C Giuliani, F Vicentini, R Rossi, G Carleo - Quantum, 2023 - quantum-journal.org
Neural network approaches to approximate the ground state of quantum hamiltonians
require the numerical solution of a highly nonlinear optimization problem. We introduce a …

Certification of quantum states with hidden structure of their bitstrings

OM Sotnikov, IA Iakovlev, AA Iliasov… - npj Quantum …, 2022 - nature.com
The rapid development of quantum computing technologies already made it possible to
manipulate a collective state of several dozens of qubits, which poses a strong demand on …

Stability of a quantum skyrmion: Projective measurements and the quantum Zeno effect

F Salvati, MI Katsnelson, AA Bagrov, T Westerhout - Physical Review B, 2024 - APS
Magnetic skyrmions are vortexlike quasiparticles characterized by long lifetime and
remarkable topological properties. That makes them a promising candidate for the role of …

Phenomenological theory of variational quantum ground-state preparation

N Astrakhantsev, G Mazzola, I Tavernelli… - Physical Review …, 2023 - APS
The variational approach is a cornerstone of computational physics, considering both
conventional and quantum computing computational platforms. The variational quantum …

Many-body quantum sign structures as non-glassy Ising models

T Westerhout, MI Katsnelson, AA Bagrov - Communications Physics, 2023 - nature.com
The non-trivial phase structure of the eigenstates of many-body quantum systems severely
limits the applicability of quantum Monte Carlo, variational, and machine learning methods …