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Quantum optimization with linear Ising penalty functions for customer data science (2024)
Journal Article
Mirkarimi, P., Shukla, I., Hoyle, D. C., Williams, R., & Chancellor, N. (2024). Quantum optimization with linear Ising penalty functions for customer data science. Physical Review Research, 6(4), Article 043241. https://doi.org/10.1103/physrevresearch.6.043241

Constrained combinatorial optimization problems, which are ubiquitous in industry, can be solved by quantum algorithms such as quantum annealing (QA) and the quantum approximate optimization algorithm (QAOA). In these quantum algorithms, constraints... Read More about Quantum optimization with linear Ising penalty functions for customer data science.

Experimental demonstration of improved quantum optimization with linear Ising penalties (2024)
Journal Article
Mirkarimi, P., Hoyle, D. C., Williams, R., & Chancellor, N. (2024). Experimental demonstration of improved quantum optimization with linear Ising penalties. New Journal of Physics, 26(10), Article 103005. https://doi.org/10.1088/1367-2630/ad7e4a

The standard approach to encoding constraints in quantum optimization is the quadratic penalty method. Quadratic penalties introduce additional couplings and energy scales, which can be detrimental to the performance of a quantum optimizer. In quantu... Read More about Experimental demonstration of improved quantum optimization with linear Ising penalties.

Comparing the hardness of MAX 2-SAT problem instances for quantum and classical algorithms (2023)
Journal Article
Mirkarimi, P., Callison, A., Light, L., Chancellor, N., & Kendon, V. (2023). Comparing the hardness of MAX 2-SAT problem instances for quantum and classical algorithms. Physical Review Research, 5(2), https://doi.org/10.1103/physrevresearch.5.023151

An algorithm for a particular problem may find some instances of the problem easier and others harder to solve, even for a fixed input size. We numerically analyze the relative hardness of MAX 2-SAT problem instances for various continuous-time quant... Read More about Comparing the hardness of MAX 2-SAT problem instances for quantum and classical algorithms.