A review on quantum approximate optimization algorithm and its variants

K Blekos, D Brand, A Ceschini, CH Chou, RH Li… - Physics Reports, 2024 - Elsevier
Abstract The Quantum Approximate Optimization Algorithm (QAOA) is a highly promising
variational quantum algorithm that aims to solve combinatorial optimization problems that …

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 …

The future of quantum computing with superconducting qubits

S Bravyi, O Dial, JM Gambetta, D Gil… - Journal of Applied …, 2022 - pubs.aip.org
For the first time in history, we are seeing a branching point in computing paradigms with the
emergence of quantum processing units (QPUs). Extracting the full potential of computation …

[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 …

Quantum advantage in learning from experiments

HY Huang, M Broughton, J Cotler, S Chen, J Li… - Science, 2022 - science.org
Quantum technology promises to revolutionize how we learn about the physical world. An
experiment that processes quantum data with a quantum computer could have substantial …

A quantum processor based on coherent transport of entangled atom arrays

D Bluvstein, H Levine, G Semeghini, TT Wang, S Ebadi… - Nature, 2022 - nature.com
The ability to engineer parallel, programmable operations between desired qubits within a
quantum processor is key for building scalable quantum information systems,. In most state …

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 …

Exponential concentration in quantum kernel methods

S Thanasilp, S Wang, M Cerezo, Z Holmes - Nature communications, 2024 - nature.com
Abstract Kernel methods in Quantum Machine Learning (QML) have recently gained
significant attention as a potential candidate for achieving a quantum advantage in data …

Exponentially tighter bounds on limitations of quantum error mitigation

Y Quek, D Stilck França, S Khatri, JJ Meyer, J Eisert - Nature Physics, 2024 - nature.com
Quantum error mitigation has been proposed as a means to combat unwanted and
unavoidable errors in near-term quantum computing without the heavy resource overheads …

Scalable error mitigation for noisy quantum circuits produces competitive expectation values

Y Kim, CJ Wood, TJ Yoder, ST Merkel, JM Gambetta… - Nature Physics, 2023 - nature.com
Noise in existing quantum processors only enables an approximation to ideal quantum
computation. However, for the computation of expectation values, these approximations can …