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 …

[HTML][HTML] Verification of quantum computation: An overview of existing approaches

A Gheorghiu, T Kapourniotis, E Kashefi - Theory of computing systems, 2019 - Springer
Quantum computers promise to efficiently solve not only problems believed to be intractable
for classical computers, but also problems for which verifying the solution is also considered …

Quantum computational supremacy

AW Harrow, A Montanaro - Nature, 2017 - nature.com
The field of quantum algorithms aims to find ways to speed up the solution of computational
problems by using a quantum computer. A key milestone in this field will be when a …

[HTML][HTML] Stochastic gradient descent for hybrid quantum-classical optimization

R Sweke, F Wilde, J Meyer, M Schuld… - Quantum, 2020 - quantum-journal.org
Within the context of hybrid quantum-classical optimization, gradient descent based
optimizers typically require the evaluation of expectation values with respect to the outcome …

Quantum advantage with shallow circuits

S Bravyi, D Gosset, R König - Science, 2018 - science.org
Quantum effects can enhance information-processing capabilities and speed up the solution
of certain computational problems. Whether a quantum advantage can be rigorously proven …

[HTML][HTML] Efficient representation of quantum many-body states with deep neural networks

X Gao, LM Duan - Nature communications, 2017 - nature.com
Part of the challenge for quantum many-body problems comes from the difficulty of
representing large-scale quantum states, which in general requires an exponentially large …

Theory of quantum system certification

M Kliesch, I Roth - PRX quantum, 2021 - APS
The precise control of complex quantum systems promises numerous technological
applications including digital quantum computing. The complexity of such devices renders …

Rényi entropies from random quenches in atomic Hubbard and spin models

A Elben, B Vermersch, M Dalmonte, JI Cirac, P Zoller - Physical review letters, 2018 - APS
We present a scheme for measuring Rényi entropies in generic atomic Hubbard and spin
models using single copies of a quantum state and for partitions in arbitrary spatial …

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 …

Efficient classical simulation of random shallow 2D quantum circuits

JC Napp, RL La Placa, AM Dalzell, FGSL Brandao… - Physical Review X, 2022 - APS
A central question of quantum computing is determining the source of the advantage of
quantum computation over classical computation. Even though simulating quantum …