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 …

Evidence for the utility of quantum computing before fault tolerance

Y Kim, A Eddins, S Anand, KX Wei, E Van Den Berg… - Nature, 2023 - nature.com
Quantum computing promises to offer substantial speed-ups over its classical counterpart for
certain problems. However, the greatest impediment to realizing its full potential is noise that …

Quantum computational advantage with a programmable photonic processor

LS Madsen, F Laudenbach, MF Askarani, F Rortais… - Nature, 2022 - nature.com
A quantum computer attains computational advantage when outperforming the best
classical computers running the best-known algorithms on well-defined tasks. No photonic …

Quantum computational advantage using photons

HS Zhong, H Wang, YH Deng, MC Chen, LC Peng… - Science, 2020 - science.org
Quantum computers promise to perform certain tasks that are believed to be intractable to
classical computers. Boson sampling is such a task and is considered a strong candidate to …

Logical quantum processor based on reconfigurable atom arrays

D Bluvstein, SJ Evered, AA Geim, SH Li, H Zhou… - Nature, 2024 - nature.com
Suppressing errors is the central challenge for useful quantum computing, requiring
quantum error correction (QEC),,,–for large-scale processing. However, the overhead in 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 …

Practical quantum advantage in quantum simulation

AJ Daley, I Bloch, C Kokail, S Flannigan, N Pearson… - Nature, 2022 - nature.com
The development of quantum computing across several technologies and platforms has
reached the point of having an advantage over classical computers for an artificial problem …