Quantum neural network classifiers: A tutorial

W Li, Z Lu, DL Deng - SciPost Physics Lecture Notes, 2022 - scipost.org
Abstract Machine learning has achieved dramatic success over the past decade, with
applications ranging from face recognition to natural language processing. Meanwhile, rapid …

Long-range entanglement from measuring symmetry-protected topological phases

N Tantivasadakarn, R Thorngren, A Vishwanath… - Physical Review X, 2024 - APS
A fundamental distinction between many-body quantum states are those with short-and long-
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …

Realizing quantum convolutional neural networks on a superconducting quantum processor to recognize quantum phases

J Herrmann, SM Llima, A Remm, P Zapletal… - Nature …, 2022 - nature.com
Quantum computing crucially relies on the ability to efficiently characterize the quantum
states output by quantum hardware. Conventional methods which probe these states …

One-dimensional symmetry protected topological phases and their transitions

R Verresen, R Moessner, F Pollmann - Physical Review B, 2017 - APS
We present a unified perspective on symmetry protected topological (SPT) phases in one
dimension and address the open question of what characterizes their phase transitions. In …

Localization and topology protected quantum coherence at the edge of hot matter

Y Bahri, R Vosk, E Altman, A Vishwanath - Nature communications, 2015 - nature.com
Topological phases are characterized by edge states confined near the boundaries by a
bulk energy gap. On raising temperature, these edge states are typically lost due to mobile …

[HTML][HTML] Learning quantum properties from short-range correlations using multi-task networks

YD Wu, Y Zhu, Y Wang, G Chiribella - Nature Communications, 2024 - nature.com
Characterizing multipartite quantum systems is crucial for quantum computing and many-
body physics. The problem, however, becomes challenging when the system size is large …

Identification of symmetry-protected topological states on noisy quantum computers

D Azses, R Haenel, Y Naveh, R Raussendorf, E Sela… - Physical Review Letters, 2020 - APS
Identifying topological properties is a major challenge because, by definition, topological
states do not have a local order parameter. While a generic solution to this challenge is not …

Model-independent learning of quantum phases of matter with quantum convolutional neural networks

YJ Liu, A Smith, M Knap, F Pollmann - Physical Review Letters, 2023 - APS
Quantum convolutional neural networks (QCNNs) have been introduced as classifiers for
gapped quantum phases of matter. Here, we propose a model-independent protocol for …

Topological edge modes and phase transitions in a critical fermionic chain with long-range interactions

WH Zhong, WL Li, YC Chen, XJ Yu - Physical Review A, 2024 - APS
Long-range interactions can fundamentally alter properties in gapped topological phases
such as emergent massive edge modes. However, recent research has shifted attention to …

Fidelity susceptibility at the Lifshitz transition between the noninteracting topologically distinct quantum critical points

XJ Yu, WL Li - Physical Review B, 2024 - APS
By constructing an exactly solvable spin model, we investigate the critical behaviors of
transverse-field Ising chains interpolated with cluster interactions, which exhibit various …