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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^*\(1.728m\).

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2021 reference point for readers tracking recent quantum research.
  • We present the quantum algorithm for the Longest Trail Problem.

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