Parameterized Quantum Query Algorithms for Graph Problems
August 07, 2024 Β· Declared Dead Β· π 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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