Parameterized Quantum Query Algorithms for Graph Problems

August 07, 2024 Β· Declared Dead Β· πŸ› Embedded Systems and Applications

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Authors Tatsuya Terao, Ryuhei Mori arXiv ID 2408.03864 Category quant-ph: Quantum Computing Cross-listed cs.DS Citations 0 Venue Embedded Systems and Applications Last Checked 5 months ago
Abstract
In this paper, we consider the parameterized quantum query complexity for graph problems. We design parameterized quantum query algorithms for $k$-vertex cover and $k$-matching problems, and present lower bounds on the parameterized quantum query complexity. Then, we show that our quantum query algorithms are optimal up to a constant factor when the parameters are small.
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