Noisy intermediate-scale quantum algorithms

K Bharti, A Cervera-Lierta, TH Kyaw, T Haug… - Reviews of Modern …, 2022 - APS
A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges

B Fauseweh - Nature Communications, 2024 - nature.com
Simulating quantum many-body systems is a key application for emerging quantum
processors. While analog quantum simulation has already demonstrated quantum …

Real-and imaginary-time evolution with compressed quantum circuits

SH Lin, R Dilip, AG Green, A Smith, F Pollmann - PRX Quantum, 2021 - APS
The current generation of noisy intermediate-scale quantum computers introduces new
opportunities to study quantum many-body systems. In this paper, we show that quantum …

Quantum algorithms for quantum dynamics

A Miessen, PJ Ollitrault, F Tacchino… - Nature Computational …, 2023 - nature.com
Among the many computational challenges faced across different disciplines, quantum-
mechanical systems pose some of the hardest ones and offer a natural playground for the …

Hardware-efficient variational quantum algorithms for time evolution

M Benedetti, M Fiorentini, M Lubasch - Physical Review Research, 2021 - APS
Parameterized quantum circuits are a promising technology for achieving a quantum
advantage. An important application is the variational simulation of time evolution of …

Nishimori's cat: stable long-range entanglement from finite-depth unitaries and weak measurements

GY Zhu, N Tantivasadakarn, A Vishwanath, S Trebst… - Physical Review Letters, 2023 - APS
In the field of monitored quantum circuits, it has remained an open question whether finite-
time protocols for preparing long-range entangled states lead to phases of matter that are …

Barren plateaus in quantum tensor network optimization

EC Martín, K Plekhanov, M Lubasch - Quantum, 2023 - quantum-journal.org
We analyze the barren plateau phenomenon in the variational optimization of quantum
circuits inspired by matrix product states (qMPS), tree tensor networks (qTTN), and the …

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 …

Universal entanglement spectrum in one-dimensional gapless symmetry protected topological states

XJ Yu, S Yang, HQ Lin, SK Jian - Physical Review Letters, 2024 - APS
Quantum entanglement marks a definitive feature of topological states. However, the
entanglement spectrum remains insufficiently explored for topological states without a bulk …

Dimensional transmutation from non-hermiticity

H Jiang, CH Lee - Physical Review Letters, 2023 - APS
Dimensionality plays a fundamental role in the classification of novel phases and their
responses. In generic lattices of 2D and beyond, however, we found that non-Hermitian …