Random unitaries in extremely low depth

T Schuster, J Haferkamp, HY Huang - arxiv preprint arxiv:2407.07754, 2024 - arxiv.org
We prove that random quantum circuits on any geometry, including a 1D line, can form
approximate unitary designs over $ n $ qubits in $\log n $ depth. In a similar manner, we …

Quantum convolutional neural networks are (effectively) classically simulable

P Bermejo, P Braccia, MS Rudolph, Z Holmes… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum Convolutional Neural Networks (QCNNs) are widely regarded as a promising
model for Quantum Machine Learning (QML). In this work we tie their heuristic success to …

Quantum algorithms for scientific computing

R Au-Yeung, B Camino, O Rathore… - Reports on Progress in …, 2024 - iopscience.iop.org
Quantum computing promises to provide the next step up in computational power for diverse
application areas. In this review, we examine the science behind the quantum hype, and the …

Classically estimating observables of noiseless quantum circuits

A Angrisani, A Schmidhuber, MS Rudolph… - arxiv preprint arxiv …, 2024 - arxiv.org
We present a classical algorithm for estimating expectation values of arbitrary observables
on most quantum circuits across all circuit architectures and depths, including those with all …

Modeling Heterogeneous Catalysis Using Quantum Computers: An Academic and Industry Perspective

S Hariharan, S Kinge, L Visscher - Journal of Chemical …, 2024 - ACS Publications
Heterogeneous catalysis plays a critical role in many industrial processes, including the
production of fuels, chemicals, and pharmaceuticals, and research to improve current …

Quantum computing and chemistry

JD Weidman, M Sajjan, C Mikolas, ZJ Stewart… - Cell Reports Physical …, 2024 - cell.com
As the year-to-year gains in speeds of classical computers continue to taper off,
computational chemists are increasingly examining quantum computing as a possible route …

Distributed quantum architecture search

H Situ, Z He, S Zheng, L Li - Physical Review A, 2024 - APS
Variational quantum algorithms, inspired by neural networks, have become a novel
approach in quantum computing. However, designing efficient parameterized quantum …

Efficient quantum-enhanced classical simulation for patches of quantum landscapes

S Lerch, R Puig, MS Rudolph, A Angrisani… - arxiv preprint arxiv …, 2024 - arxiv.org
Understanding the capabilities of classical simulation methods is key to identifying where
quantum computers are advantageous. Not only does this ensure that quantum computers …

Quantum linear algebra is all you need for transformer architectures

N Guo, Z Yu, M Choi, A Agrawal, K Nakaji… - arxiv preprint arxiv …, 2024 - arxiv.org
Generative machine learning methods such as large-language models are revolutionizing
the creation of text and images. While these models are powerful they also harness a large …

Dynamic parameterized quantum circuits: expressive and barren-plateau free

A Deshpande, M Hinsche, S Najafi, K Sharma… - arxiv preprint arxiv …, 2024 - arxiv.org
Classical optimization of parameterized quantum circuits is a widely studied methodology for
the preparation of complex quantum states, as well as the solution of machine learning and …