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 …

Effective quantum volume, fidelity and computational cost of noisy quantum processing experiments

K Kechedzhi, SV Isakov, S Mandrà, B Villalonga… - Future Generation …, 2024 - Elsevier
Today's experimental noisy quantum processors can compete with and surpass all known
algorithms on state-of-the-art supercomputers for the computational benchmark task of …

Phase transition in random circuit sampling

A Morvan, B Villalonga, X Mi, S Mandra… - arXiv preprint arXiv …, 2023 - arxiv.org
Undesired coupling to the surrounding environment destroys long-range correlations on
quantum processors and hinders the coherent evolution in the nominally available …

A polynomial-time classical algorithm for noisy random circuit sampling

D Aharonov, X Gao, Z Landau, Y Liu… - Proceedings of the 55th …, 2023 - dl.acm.org
We give a polynomial time classical algorithm for sampling from the output distribution of a
noisy random quantum circuit in the regime of anti-concentration to within inverse …

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 …

Quantum computational advantage via high-dimensional Gaussian boson sampling

A Deshpande, A Mehta, T Vincent, N Quesada… - Science …, 2022 - science.org
Photonics is a promising platform for demonstrating a quantum computational advantage
(QCA) by outperforming the most powerful classical supercomputers on a well-defined …

The hardness of random quantum circuits

R Movassagh - Nature Physics, 2023 - nature.com
As Moore's law reaches its limits, quantum computers are emerging that hold promise to
dramatically outperform classical computers. It is now possible to build quantum processors …

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 …

Random quantum circuits transform local noise into global white noise

AM Dalzell, N Hunter-Jones, FGSL Brandão - … in Mathematical Physics, 2024 - Springer
We study the distribution over measurement outcomes of noisy random quantum circuits in
the regime of low fidelity, which corresponds to the setting where the computation …

Bell sampling from quantum circuits

D Hangleiter, MJ Gullans - Physical Review Letters, 2024 - APS
A central challenge in the verification of quantum computers is benchmarking their
performance as a whole and demonstrating their computational capabilities. In this Letter …