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Improved Low-qubit Hidden Shift Algorithms
January 31, 2019 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Xavier Bonnetain
arXiv ID
1901.11428
Category
quant-ph: Quantum Computing
Cross-listed
cs.CR
Citations
11
Venue
arXiv.org
Last Checked
5 months ago
Abstract
Hidden shift problems are relevant to assess the quantum security of various cryptographic constructs. Multiple quantum subexponential time algorithms have been proposed. In this paper, we propose some improvements on a polynomial quantum memory algorithm proposed by Childs, Jao and Soukharev in 2010. We use subset-sum algorithms to significantly reduce its complexity. We also propose new tradeoffs between quantum queries, classical time and classical memory to solve this problem.
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