[HTML][HTML] Warm-Started QAOA with Custom Mixers Provably Converges and Computationally Beats Goemans-Williamson's Max-Cut at Low Circuit Depths

R Tate, J Moondra, B Gard, G Mohler, S Gupta - Quantum, 2023 - quantum-journal.org
Abstract We generalize the Quantum Approximate Optimization Algorithm (QAOA) of Farhi et
al.(2014) to allow for arbitrary separable initial states with corresponding mixers such that …

Circuit depth scaling for quantum approximate optimization

V Akshay, H Philathong, E Campos, D Rabinovich… - Physical Review A, 2022 - APS
Variational quantum algorithms are the centerpiece of modern quantum programming.
These algorithms involve training parametrized quantum circuits using a classical …

Warm-started quantum sphere decoding via reverse annealing for massive iot connectivity

M Kim, D Venturelli, J Kaewell… - Proceedings of the 28th …, 2022 - dl.acm.org
With the continuous growth of the Internet of Things (IoT), the trend of increasing numbers of
IoT devices will continue. To increase the network's capability to support a large number of …

Initial state encoding via reverse quantum annealing and h-gain features

E Pelofske, G Hahn, H Djidjev - IEEE transactions on quantum …, 2023 - ieeexplore.ieee.org
Quantum annealing is a specialized type of quantum computation that aims to use quantum
fluctuations in order to obtain global minimum solutions of combinatorial optimization …

Lower bounds on number of qaoa rounds required for guaranteed approximation ratios

N Benchasattabuse, A Bärtschi… - arXiv preprint arXiv …, 2023 - arxiv.org
The quantum alternating operator ansatz (QAOA) is a heuristic hybrid quantum-classical
algorithm for finding high-quality approximate solutions to combinatorial optimization …

Solution of SAT problems with the adaptive-bias quantum approximate optimization algorithm

Y Yu, C Cao, XB Wang, N Shannon, R Joynt - Physical Review Research, 2023 - APS
The quantum approximate optimization algorithm (QAOA) is a promising method for solving
certain classical combinatorial optimization problems on near-term quantum devices. When …

Approaches to constrained quantum approximate optimization

ZH Saleem, T Tomesh, B Tariq, M Suchara - SN Computer Science, 2023 - Springer
We study the costs and benefits of different quantum approaches to finding approximate
solutions of constrained combinatorial optimization problems with a focus on the maximum …

Mapping state transition susceptibility in quantum annealing

E Pelofske - Physical Review Research, 2023 - APS
Quantum annealing is a novel type of analog computation that aims to use quantum-
mechanical fluctuations to search for optimal solutions for Ising problems. Quantum …

Google Quantum AI's Quest for Error-Corrected Quantum Computers

M AbuGhanem - arXiv preprint arXiv:2410.00917, 2024 - arxiv.org
Quantum computers stand at the forefront of technological innovation, offering exponential
computational speed-ups that challenge classical computing capabilities. At the cutting edge …

[HTML][HTML] Tailored Quantum Alternating Operator Ansätzes for Circuit Fault Diagnostics

H Leipold, FM Spedalieri, E Rieffel - Algorithms, 2022 - mdpi.com
The quantum alternating operator ansatz (QAOA) and constrained quantum annealing
(CQA) restrict the evolution of a quantum system to remain in a constrained space, often with …