Tensor networks for complex quantum systems

R Orús - Nature Reviews Physics, 2019 - nature.com
Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

Measurement as a shortcut to long-range entangled quantum matter

TC Lu, LA Lessa, IH Kim, TH Hsieh - PRX Quantum, 2022 - APS
The preparation of long-range entangled states using unitary circuits is limited by Lieb-
Robinson bounds, but circuits with projective measurements and feedback (“adaptive …

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 …

Quantum convolutional neural network for image classification

G Chen, Q Chen, S Long, W Zhu, Z Yuan… - Pattern Analysis and …, 2023 - Springer
In this paper we propose two scale-inspired local feature extraction methods based on
Quantum Convolutional Neural Network (QCNN) in the Tensorflow quantum framework for …

Criticality and entanglement in nonunitary quantum circuits and tensor networks of noninteracting fermions

CM Jian, B Bauer, A Keselman, AWW Ludwig - Physical Review B, 2022 - APS
Models for nonunitary quantum dynamics, such as quantum circuits that include projective
measurements, have recently been shown to exhibit rich quantum critical behavior. There …

Holographic complexity of Einstein-Maxwell-dilaton gravity

B Swingle, Y Wang - Journal of High Energy Physics, 2018 - Springer
A bstract We study the holographic complexity of Einstein-Maxwell-Dilaton gravity using the
recently proposed “complexity= volume” and “complexity= action” dualities. The model we …

Conformal field theory from lattice fermions

TJ Osborne, A Stottmeister - Communications in Mathematical Physics, 2023 - Springer
We provide a rigorous lattice approximation of conformal field theories given in terms of
lattice fermions in 1+ 1-dimensions, focussing on free fermion models and Wess–Zumino …

Thermal multi-scale entanglement renormalization ansatz for variational gibbs state preparation

TJ Sewell, CD White, B Swingle - arxiv preprint arxiv:2210.16419, 2022 - arxiv.org
Many simulation tasks require that one first prepare a system's Gibbs state. We present a
family of quantum circuits for variational preparation of thermal Gibbs states on a quantum …

Entanglement distillation toward minimal bond cut surface in tensor networks

T Mori, H Manabe, H Matsueda - Physical Review D, 2022 - APS
In tensor networks, a geometric operation of pushing a bond cut surface toward a minimal
surface corresponds to entanglement distillation. Cutting bonds defines a reduced transition …

Maximal violation of the Bell-Clauser-Horne-Shimony-Holt inequality via bumpified Haar wavelets

D Dudal, P De Fabritiis, MS Guimaraes, I Roditi… - Physical Review D, 2023 - APS
We devise a general setup to investigate the violation of the Bell-Clauser-Horne-Shimony-
Holt (Bell-CHSH) inequality in the vacuum state in the context of quantum field theory. We …