Variational quantum algorithms

M Cerezo, A Arrasmith, R Babbush… - Nature Reviews …, 2021 - nature.com
Applications such as simulating complicated quantum systems or solving large-scale linear
algebra problems are very challenging for classical computers, owing to the extremely high …

[HTML][HTML] The variational quantum eigensolver: a review of methods and best practices

J Tilly, H Chen, S Cao, D Picozzi, K Setia, Y Li, E Grant… - Physics Reports, 2022 - Elsevier
The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …

Strong quantum computational advantage using a superconducting quantum processor

Y Wu, WS Bao, S Cao, F Chen, MC Chen, X Chen… - Physical review …, 2021 - APS
Scaling up to a large number of qubits with high-precision control is essential in the
demonstrations of quantum computational advantage to exponentially outpace the classical …

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 error mitigation

Z Cai, R Babbush, SC Benjamin, S Endo… - Reviews of Modern …, 2023 - APS
For quantum computers to successfully solve real-world problems, it is necessary to tackle
the challenge of noise: the errors that occur in elementary physical components due to …

Circuit quantum electrodynamics

A Blais, AL Grimsmo, SM Girvin, A Wallraff - Reviews of Modern Physics, 2021 - APS
Quantum-mechanical effects at the macroscopic level were first explored in Josephson-
junction-based superconducting circuits in the 1980s. In recent decades, the emergence of …

Noise-induced barren plateaus in variational quantum algorithms

S Wang, E Fontana, M Cerezo, K Sharma… - Nature …, 2021 - nature.com
Abstract Variational Quantum Algorithms (VQAs) may be a path to quantum advantage on
Noisy Intermediate-Scale Quantum (NISQ) computers. A natural question is whether noise …

Materials challenges and opportunities for quantum computing hardware

NP De Leon, KM Itoh, D Kim, KK Mehta, TE Northup… - Science, 2021 - science.org
BACKGROUND The past two decades have seen intense efforts aimed at building quantum
computing hardware with the potential to solve problems that are intractable on classical …

Cost function dependent barren plateaus in shallow parametrized quantum circuits

M Cerezo, A Sone, T Volkoff, L Cincio… - Nature communications, 2021 - nature.com
Variational quantum algorithms (VQAs) optimize the parameters θ of a parametrized
quantum circuit V (θ) to minimize a cost function C. While VQAs may enable practical …

On scientific understanding with artificial intelligence

M Krenn, R Pollice, SY Guo, M Aldeghi… - Nature Reviews …, 2022 - nature.com
An oracle that correctly predicts the outcome of every particle physics experiment, the
products of every possible chemical reaction or the function of every protein would …