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A Quantum Approach to Subset-Sum and Similar Problems
July 27, 2017 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Ammar Daskin
arXiv ID
1707.08730
Category
quant-ph: Quantum Computing
Cross-listed
cs.CC,
cs.DS
Citations
9
Venue
arXiv.org
Last Checked
5 months ago
Abstract
In this paper, we study the subset-sum problem by using a quantum heuristic approach similar to the verification circuit of quantum Arthur-Merlin games. Under described certain assumptions, we show that the exact solution of the subset sum problem my be obtained in polynomial time and the exponential speed-up over the classical algorithms may be possible. We give a numerical example and discuss the complexity of the approach and its further application to the knapsack problem.
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