Graph-controlled Permutation Mixers in QAOA for the Flexible Job-Shop Problem

Palackal L, Richter L, Hess M (2024)

Publication Language: English

Publication Type: Conference contribution

Publication year: 2024

Pages Range: 7624-7632

Conference Proceedings Title: Proceedings of the 57th Annual Hawaii International Conference on System Sciences

Event location: Honolulu, HI US

ISBN: 9780998133171

DOI: 10.24251/HICSS.2023.916

Abstract

One of the most promising attempts towards solving optimization problems with quantum computers in the noisy intermediate scale era of quantum computing are variational quantum algorithms. The Quantum Alternating Operator Ansatz provides an algorithmic framework for constrained, combinatorial optimization problems. As opposed to the better known standard QAOA protocol, the constraints of the optimization problem are built into the mixing layers of the ansatz circuit, thereby limiting the search to the much smaller Hilbert space of feasible solutions. In this work we develop mixing operators for a wide range of scheduling problems including the flexible job shop problem. These mixing operators are based on a special control scheme defined by a constraint graph model. After describing an explicit construction of those mixing operators, they are proven to be feasibility preserving, as well as exploring the feasible subspace.

Involved external institutions

Technische Universität München (TUM) DE Germany (DE) Gottfried Wilhelm Leibniz Universität Hannover DE Germany (DE)

How to cite

APA:

Palackal, L., Richter, L., & Hess, M. (2024). Graph-controlled Permutation Mixers in QAOA for the Flexible Job-Shop Problem. In Tung X. Bui (Eds.), Proceedings of the 57th Annual Hawaii International Conference on System Sciences (pp. 7624-7632). Honolulu, HI, US.

MLA:

Palackal, Lilly, Leonhard Richter, and Maximilian Hess. "Graph-controlled Permutation Mixers in QAOA for the Flexible Job-Shop Problem." Proceedings of the 57th Annual Hawaii International Conference on System Sciences, HICSS 2024, Honolulu, HI Ed. Tung X. Bui, 2024. 7624-7632.

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