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 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 …

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 …

Programmable quantum simulations of spin systems with trapped ions

C Monroe, WC Campbell, LM Duan, ZX Gong… - Reviews of Modern …, 2021 - APS
Laser-cooled and trapped atomic ions form an ideal standard for the simulation of interacting
quantum spin models. Effective spins are represented by appropriate internal energy levels …

Average-case complexity versus approximate simulation of commuting quantum computations

MJ Bremner, A Montanaro, DJ Shepherd - Physical review letters, 2016 - APS
We use the class of commuting quantum computations known as IQP (instantaneous
quantum polynomial time) to strengthen the conjecture that quantum computers are hard to …

Private quantum computation: an introduction to blind quantum computing and related protocols

JF Fitzsimons - npj Quantum Information, 2017 - nature.com
Quantum technologies hold the promise of not only faster algorithmic processing of data, via
quantum computation, but also of more secure communications, in the form of quantum …

[HTML][HTML] Achieving quantum supremacy with sparse and noisy commuting quantum computations

MJ Bremner, A Montanaro, DJ Shepherd - Quantum, 2017 - quantum-journal.org
The class of commuting quantum circuits known as IQP (instantaneous quantum polynomial-
time) has been shown to be hard to simulate classically, assuming certain complexity …

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 sampling problems, BosonSampling and quantum supremacy

AP Lund, MJ Bremner, TC Ralph - npj Quantum Information, 2017 - nature.com
There is a large body of evidence for the potential of greater computational power using
information carriers that are quantum mechanical over those governed by the laws of …