Approximating many-body quantum states with quantum circuits and measurements

L Piroli, G Styliaris, JI Cirac - Physical Review Letters, 2024 - APS
We introduce protocols to prepare many-body quantum states with quantum circuits assisted
by local operations and classical communication. We show that by lifting the requirement of …

Exploring large-scale entanglement in quantum simulation

MK Joshi, C Kokail, R van Bijnen, F Kranzl, TV Zache… - Nature, 2023 - nature.com
Entanglement is a distinguishing feature of quantum many-body systems, and uncovering
the entanglement structure for large particle numbers in quantum simulation experiments is …

Krylov complexity and Trotter transitions in unitary circuit dynamics

P Suchsland, R Moessner, PW Claeys - Physical Review B, 2025 - APS
We investigate many-body dynamics where the evolution is governed by unitary circuits
through the lens of “Krylov complexity,” a recently proposed measure of complexity and …

Integrable quantum circuits from the star-triangle relation

Y Miao, E Vernier - Quantum, 2023 - quantum-journal.org
The star-triangle relation plays an important role in the realm of exactly solvable models,
offering exact results for classical two-dimensional statistical mechanical models. In this …

Conserved charges in the quantum simulation of integrable spin chains

K Maruyoshi, T Okuda, JW Pedersen… - Journal of Physics A …, 2023 - iopscience.iop.org
When simulating the time evolution of quantum many-body systems on a digital quantum
computer, one faces the challenges of quantum noise and of the Trotter error due to time …

Persistent currents in ultracold gases

J Polo, WJ Chetcuti, T Haug, A Minguzzi… - arxiv preprint arxiv …, 2024 - arxiv.org
Persistent currents flowing in spatially closed tracks define one of the most iconic concepts
in mesoscopic physics. They have been studied in solid-state platforms such as superfluids …

Qudit Dicke state preparation

RI Nepomechie, D Raveh - arxiv preprint arxiv:2301.04989, 2023 - arxiv.org
Qudit Dicke states are higher-dimensional analogues of an important class of highly-
entangled completely symmetric quantum states known as (qubit) Dicke states. A circuit for …

The Bethe Ansatz as a Quantum Circuit

R Ruiz, A Sopena, MH Gordon, G Sierra, E López - Quantum, 2024 - quantum-journal.org
The Bethe ansatz represents an analytical method enabling the exact solution of numerous
models in condensed matter physics and statistical mechanics. When a global symmetry is …

The floquet baxterisation

Y Miao, V Gritsev, DV Kurlov - SciPost Physics, 2024 - scipost.org
Quantum integrability has proven to be a useful tool to study quantum many-body systems
out of equilibrium. In this paper we construct a generic framework for integrable quantum …

Algebraic classification of Hietarinta's solutions of Yang-Baxter equations: invertible 4× 4 operators

S Maity, VK Singh, P Padmanabhan… - Journal of High Energy …, 2024 - Springer
A bstract In order to examine the simulation of integrable quantum systems using quantum
computers, it is crucial to first classify Yang-Baxter operators. Hietarinta was among the first …