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Improved Quantum Query Complexity on Easier Inputs
March 01, 2023 Β· Declared Dead Β· π Quantum
"No code URL or promise found in abstract"
Evidence collected by the PWNC Scanner
Authors
Noel T. Anderson, Jay-U Chung, Shelby Kimmel, Da-Yeon Koh, Xiaohan Ye
arXiv ID
2303.00217
Category
quant-ph: Quantum Computing
Cross-listed
cs.DS
Citations
3
Venue
Quantum
Last Checked
5 months ago
Abstract
Quantum span program algorithms for function evaluation sometimes have reduced query complexity when promised that the input has a certain structure. We design a modified span program algorithm to show these improvements persist even without a promise ahead of time, and we extend this approach to the more general problem of state conversion. As an application, we prove exponential and superpolynomial quantum advantages in average query complexity for several search problems, generalizing Montanaro's Search with Advice [Montanaro, TQC 2010].
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