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 algorithms for quantum chemistry and quantum materials science

B Bauer, S Bravyi, M Motta, GKL Chan - Chemical Reviews, 2020 - ACS Publications
As we begin to reach the limits of classical computing, quantum computing has emerged as
a technology that has captured the imagination of the scientific world. While for many years …

Quantum convolutional neural networks

I Cong, S Choi, MD Lukin - Nature Physics, 2019 - nature.com
Neural network-based machine learning has recently proven successful for many complex
applications ranging from image recognition to precision medicine. However, its direct …

Limitations of optimization algorithms on noisy quantum devices

D Stilck França, R Garcia-Patron - Nature Physics, 2021 - nature.com
Recent successes in producing intermediate-scale quantum devices have focused interest
on establishing whether near-term devices could outperform classical computers for …

[HTML][HTML] Quantum computing in the NISQ era and beyond

J Preskill - Quantum, 2018 - quantum-journal.org
Abstract Noisy Intermediate-Scale Quantum (NISQ) technology will be available in the near
future. Quantum computers with 50-100 qubits may be able to perform tasks which surpass …

Generalized unitary coupled cluster wave functions for quantum computation

J Lee, WJ Huggins, M Head-Gordon… - Journal of chemical …, 2018 - ACS Publications
We introduce a unitary coupled-cluster (UCC) ansatz termed k-UpCCGSD that is based on a
family of sparse generalized doubles operators, which provides an affordable and …

Towards quantum machine learning with tensor networks

W Huggins, P Patil, B Mitchell, KB Whaley… - Quantum Science …, 2019 - iopscience.iop.org
Abstract Machine learning is a promising application of quantum computing, but challenges
remain for implementation today because near-term devices have a limited number of …

Performance of the quantum approximate optimization algorithm on the maximum cut problem

GE Crooks - arXiv preprint arXiv:1811.08419, 2018 - arxiv.org
The Quantum Approximate Optimization Algorithm (QAOA) is a promising approach for
programming a near-term gate-based hybrid quantum computer to find good approximate …

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 …

Differentiable programming tensor networks

HJ Liao, JG Liu, L Wang, T Xiang - Physical Review X, 2019 - APS
Differentiable programming is a fresh programming paradigm which composes
parameterized algorithmic components and optimizes them using gradient search. The …