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 …

Quantum certification and benchmarking

J Eisert, D Hangleiter, N Walk, I Roth… - Nature Reviews …, 2020 - nature.com
With the rapid development of quantum technologies, a pressing need has emerged for a
wide array of tools for the certification and characterization of quantum devices. Such tools …

Quantum simulation and computing with Rydberg-interacting qubits

M Morgado, S Whitlock - AVS Quantum Science, 2021 - pubs.aip.org
Arrays of optically trapped atoms excited to Rydberg states have recently emerged as a
competitive physical platform for quantum simulation and computing, where high-fidelity …

Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges

B Fauseweh - Nature Communications, 2024 - nature.com
Simulating quantum many-body systems is a key application for emerging quantum
processors. While analog quantum simulation has already demonstrated quantum …

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 …

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 …

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 …

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 advantage with noisy shallow circuits

S Bravyi, D Gosset, R König, M Tomamichel - Nature Physics, 2020 - nature.com
As increasingly sophisticated prototypes of quantum computers are being developed, a
pressing challenge is to find computational problems that can be solved by an intermediate …