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 …
advantage of quantum computers over classical computers. Recently the first large-scale …
[HTML][HTML] Verification of quantum computation: An overview of existing approaches
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 …
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 …
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
Within the context of hybrid quantum-classical optimization, gradient descent based
optimizers typically require the evaluation of expectation values with respect to the outcome …
optimizers typically require the evaluation of expectation values with respect to the outcome …
Quantum advantage with shallow circuits
Quantum effects can enhance information-processing capabilities and speed up the solution
of certain computational problems. Whether a quantum advantage can be rigorously proven …
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
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 …
representing large-scale quantum states, which in general requires an exponentially large …
Rényi entropies from random quenches in atomic Hubbard and spin models
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 …
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
Demonstrating quantum advantage requires experimental implementation of a
computational task that is hard to achieve using state-of-the-art classical systems. One …
computational task that is hard to achieve using state-of-the-art classical systems. One …
Efficient classical simulation of random shallow 2D quantum circuits
A central question of quantum computing is determining the source of the advantage of
quantum computation over classical computation. Even though simulating quantum …
quantum computation over classical computation. Even though simulating quantum …