[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 …

Computational advantage of quantum random sampling

D Hangleiter, J Eisert - Reviews of Modern Physics, 2023 - APS
Quantum random sampling is the leading proposal for demonstrating a computational
advantage of quantum computers over classical computers. Recently the first large-scale …

Solving the sampling problem of the sycamore quantum circuits

F Pan, K Chen, P Zhang - Physical Review Letters, 2022 - APS
We study the problem of generating independent samples from the output distribution of
Google's Sycamore quantum circuits with a target fidelity, which is believed to be beyond the …

Biology and medicine in the landscape of quantum advantages

BA Cordier, NPD Sawaya… - Journal of the …, 2022 - royalsocietypublishing.org
Quantum computing holds substantial potential for applications in biology and medicine,
spanning from the simulation of biomolecules to machine learning methods for subtyping …

Measurements as a roadblock to near-term practical quantum advantage in chemistry: Resource analysis

JF Gonthier, MD Radin, C Buda, EJ Doskocil… - Physical Review …, 2022 - APS
Recent advances in quantum computing devices have brought attention to hybrid quantum-
classical algorithms like the variational quantum eigensolver (VQE) as a potential route to …

Limitations of linear cross-entropy as a measure for quantum advantage

X Gao, M Kalinowski, CN Chou, MD Lukin, B Barak… - PRX Quantum, 2024 - APS
Demonstrating quantum advantage requires experimental implementation of a
computational task that is hard to achieve using state-of-the-art classical systems. One …

Taking advantage of noise in quantum reservoir computing

L Domingo, G Carlo, F Borondo - Scientific Reports, 2023 - nature.com
The biggest challenge that quantum computing and quantum machine learning are currently
facing is the presence of noise in quantum devices. As a result, big efforts have been put into …

Density-matrix renormalization group algorithm for simulating quantum circuits with a finite fidelity

T Ayral, T Louvet, Y Zhou, C Lambert, EM Stoudenmire… - PRX Quantum, 2023 - APS
We develop a density-matrix renormalization group (DMRG) algorithm for the simulation of
quantum circuits. This algorithm can be seen as the extension of the time-dependent DMRG …

Quantum state preparation using tensor networks

AA Melnikov, AA Termanova, SV Dolgov… - Quantum Science …, 2023 - iopscience.iop.org
Quantum state preparation is a vital routine in many quantum algorithms, including solution
of linear systems of equations, Monte Carlo simulations, quantum sampling, and machine …

Is quantum computing green? An estimate for an energy-efficiency quantum advantage

D Jaschke, S Montangero - Quantum Science and Technology, 2023 - iopscience.iop.org
The quantum advantage threshold determines when a quantum processing unit (QPU) is
more efficient with respect to classical computing hardware in terms of algorithmic …