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Trapped Ion Quantum Computing Quantum Simulation

Quantum Optimization for the Graph Coloring Problem with Space-Efficient Embedding

arXiv
Authors: Zsolt Tabi, Kareem H. El-Safty, Zsófia Kallus, Péter Hága, Tamás Kozsik, Adam Glos, Zoltán Zimborás

Year

2020

Paper ID

20676

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

Current quantum computing devices have different strengths and weaknesses depending on their architectures. This means that flexible approaches to circuit design are necessary. We address this task by introducing a novel space-efficient quantum optimization algorithm for the graph coloring problem. Our circuits are deeper than the ones of the standard approach. However, the number of required qubits is exponentially reduced in the number of colors. We present extensive numerical simulations demonstrating the performance of our approach. Furthermore, to explore currently available alternatives, we perform a study of random graph coloring on a quantum annealer to test the limiting factors of that approach, too.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • Current quantum computing devices have different strengths and weaknesses depending on their architectures.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2009.07314 [2] arXiv https://arxiv.org/abs/2009.07314 [3] Publisher https://arxiv.org/abs/2009.07314

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal

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