[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 …

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 logic with spin qubits crossing the surface code threshold

X Xue, M Russ, N Samkharadze, B Undseth… - Nature, 2022‏ - nature.com
High-fidelity control of quantum bits is paramount for the reliable execution of quantum
algorithms and for achieving fault tolerance—the ability to correct errors faster than they …

Hybrid quantum-classical algorithms and quantum error mitigation

S Endo, Z Cai, SC Benjamin, X Yuan - Journal of the Physical …, 2021‏ - journals.jps.jp
Quantum computers can exploit a Hilbert space whose dimension increases exponentially
with the number of qubits. In experiment, quantum supremacy has recently been achieved …

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-centric supercomputing for materials science: A perspective on challenges and future directions

Y Alexeev, M Amsler, MA Barroca, S Bassini… - Future Generation …, 2024‏ - Elsevier
Computational models are an essential tool for the design, characterization, and discovery
of novel materials. Computationally hard tasks in materials science stretch the limits of …

Superconducting qubits: Current state of play

M Kjaergaard, ME Schwartz… - Annual Review of …, 2020‏ - annualreviews.org
Superconducting qubits are leading candidates in the race to build a quantum computer
capable of realizing computations beyond the reach of modern supercomputers. The …

Quantum simulators: Architectures and opportunities

E Altman, KR Brown, G Carleo, LD Carr, E Demler… - PRX quantum, 2021‏ - APS
Quantum simulators are a promising technology on the spectrum of quantum devices from
specialized quantum experiments to universal quantum computers. These quantum devices …

Quantum computational chemistry

S McArdle, S Endo, A Aspuru-Guzik, SC Benjamin… - Reviews of Modern …, 2020‏ - APS
One of the most promising suggested applications of quantum computing is solving
classically intractable chemistry problems. This may help to answer unresolved questions …

qubit-adapt-vqe: An adaptive algorithm for constructing hardware-efficient ansätze on a quantum processor

HL Tang, VO Shkolnikov, GS Barron, HR Grimsley… - PRX Quantum, 2021‏ - APS
Quantum simulation, one of the most promising applications of a quantum computer, is
currently being explored intensely using the variational quantum eigensolver. The feasibility …