Equivariant quantum circuits for learning on weighted graphs

A Skolik, M Cattelan, S Yarkoni, T Bäck… - npj Quantum …, 2023 - nature.com
Variational quantum algorithms are the leading candidate for advantage on near-term
quantum hardware. When training a parametrized quantum circuit in this setting to solve a …

[HTML][HTML] Short-depth QAOA circuits and quantum annealing on higher-order ising models

E Pelofske, A Bärtschi, S Eidenbenz - npj Quantum Information, 2024 - nature.com
We present a direct comparison between QAOA (Quantum Alternating Operator Ansatz), and
QA (Quantum Annealing) on 127 qubit problem instances. QAOA with p= 1, 2 rounds is …

Quantum optimization using a 127-qubit gate-model IBM quantum computer can outperform quantum annealers for nontrivial binary optimization problems

N Sachdeva, GS Hartnett, S Maity, S Marsh… - arxiv preprint arxiv …, 2024 - arxiv.org
We introduce a comprehensive quantum solver for binary combinatorial optimization
problems on gate-model quantum computers that outperforms any published alternative and …

Unconstrained binary models of the travelling salesman problem variants for quantum optimization

Ö Salehi, A Glos, JA Miszczak - Quantum Information Processing, 2022 - Springer
Quantum computing is offering a novel perspective for solving combinatorial optimization
problems. To fully explore the possibilities offered by quantum computers, the problems …

Encoding-independent optimization problem formulation for quantum computing

F Dominguez, J Unger, M Traube, B Mant… - Frontiers in Quantum …, 2023 - frontiersin.org
We review encoding and hardware-independent formulations of optimization problems for
quantum computing. Using this generalized approach, an extensive library of optimization …

Quantum optimization for the graph coloring problem with space-efficient embedding

Z Tabi, KH El-Safty, Z Kallus, P Hága… - 2020 IEEE …, 2020 - ieeexplore.ieee.org
Current quantum computing devices have different strengths and weaknesses depending
on their architectures. This means that flexible approaches to circuit design are necessary …

Computing high-degree polynomial gradients in memory

T Bhattacharya, GH Hutchinson, G Pedretti… - Nature …, 2024 - nature.com
Specialized function gradient computing hardware could greatly improve the performance of
state-of-the-art optimization algorithms. Prior work on such hardware, performed in the …

Error mitigation for variational quantum algorithms through mid-circuit measurements

L Botelho, A Glos, A Kundu, JA Miszczak, Ö Salehi… - Physical Review A, 2022 - APS
Noisy intermediate-scale quantum algorithms require novel paradigms of error mitigation. To
obtain noise-robust quantum computers, each logical qubit is equipped with hundreds or …

Comparative study of variations in quantum approximate optimization algorithms for the traveling salesman problem

W Qian, RAM Basili, MM Eshaghian-Wilner, A Khokhar… - Entropy, 2023 - mdpi.com
The traveling salesman problem (TSP) is one of the most often-used NP-hard problems in
computer science to study the effectiveness of computing models and hardware platforms. In …

The coming decades of quantum simulation

J Fraxanet, T Salamon, M Lewenstein - Sketches of Physics: The …, 2023 - Springer
Contemporary quantum technologies face major difficulties in fault tolerant quantum
computing with error correction, and focus instead on various shades of quantum simulation …