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 …

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

CP Koch, U Boscain, T Calarco, G Dirr… - EPJ Quantum …, 2022 - epjqt.epj.org
Quantum optimal control, a toolbox for devising and implementing the shapes of external
fields that accomplish given tasks in the operation of a quantum device in the best way …

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 …

Training variational quantum algorithms is NP-hard

L Bittel, M Kliesch - Physical review letters, 2021 - APS
Variational quantum algorithms are proposed to solve relevant computational problems on
near term quantum devices. Popular versions are variational quantum eigensolvers and …

Exponential error suppression for near-term quantum devices

B Koczor - Physical Review X, 2021 - APS
Suppressing noise in physical systems is of fundamental importance. As quantum
computers mature, quantum error correcting codes (QECs) will be adopted in order to …

Solving nonlinear differential equations with differentiable quantum circuits

O Kyriienko, AE Paine, VE Elfving - Physical Review A, 2021 - APS
We propose a quantum algorithm to solve systems of nonlinear differential equations. Using
a quantum feature map encoding, we define functions as expectation values of parametrized …

Learning-based quantum error mitigation

A Strikis, D Qin, Y Chen, SC Benjamin, Y Li - PRX Quantum, 2021 - APS
If noisy-intermediate-scale-quantum-era quantum computers are to perform useful tasks,
they will need to employ powerful error mitigation techniques. Quasiprobability methods can …

Near-term quantum computing techniques: Variational quantum algorithms, error mitigation, circuit compilation, benchmarking and classical simulation

HL Huang, XY Xu, C Guo, G Tian, SJ Wei… - Science China Physics …, 2023 - Springer
Quantum computing is a game-changing technology for global academia, research centers
and industries including computational science, mathematics, finance, pharmaceutical …

Observing ground-state properties of the Fermi-Hubbard model using a scalable algorithm on a quantum computer

S Stanisic, JL Bosse, FM Gambetta, RA Santos… - Nature …, 2022 - nature.com
The famous, yet unsolved, Fermi-Hubbard model for strongly-correlated electronic systems
is a prominent target for quantum computers. However, accurately representing the Fermi …

General parameter-shift rules for quantum gradients

D Wierichs, J Izaac, C Wang, CYY Lin - Quantum, 2022 - quantum-journal.org
Variational quantum algorithms are ubiquitous in applications of noisy intermediate-scale
quantum computers. Due to the structure of conventional parametrized quantum gates, the …