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Quantum Error Correction Fault Tolerance
Quantum Optimization
Quantum Simulation
Quantum Algorithm for the Longest Trail Problem
arXiv
Authors: Kamil Khadiev, Ruslan Kapralov
Year
2021
Paper ID
40240
Status
Preprint
Abstract Read
~2 min
Abstract Words
53
Citations
N/A
Abstract
We present the quantum algorithm for the Longest Trail Problem. The problem is to search the longest edge-simple path for a graph with n vertexes and m edges. Here edge-simple means no edge occurs in the path twice, but vertexes can occur several times. The running time of our algorithm is O^*\(1.728m\).
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