Qubit Reduction and Quantum Speedup for Wireless Channel Assignment Problem
| Autor: | Yuki Sano, Masaya Norimoto, Naoki Ishikawa |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: |
Channel assignment problem (CAP)
combinatorial optimization higher-order unconstrained binary optimization (HUBO) quadratic unconstrained binary optimization (QUBO) quantum computing Atomic physics. Constitution and properties of matter QC170-197 Materials of engineering and construction. Mechanics of materials TA401-492 |
| Zdroj: | IEEE Transactions on Quantum Engineering, Vol 4, Pp 1-12 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2689-1808 |
| DOI: | 10.1109/TQE.2023.3293452 |
| Popis: | In this article, we propose a novel method of formulating an NP-hard wireless channel assignment problem as a higher-order unconstrained binary optimization (HUBO), where the Grover adaptive search (GAS) is used to provide a quadratic speedup for solving the problem. The conventional method relies on a one-hot encoding of the channel indices, resulting in a quadratic formulation. By contrast, we conceive ascending and descending binary encodings of the channel indices, construct a specific quantum circuit, and derive the exact numbers of qubits and gates required by GAS. Our analysis clarifies that the proposed HUBO formulation significantly reduces the number of qubits and the query complexity compared with the conventional quadratic formulation. This advantage is achieved at the cost of an increased number of quantum gates, which we demonstrate can be reduced by our proposed descending binary encoding. |
| Databáze: | Directory of Open Access Journals |
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