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Optimizing Quantum Circuit Parameters via SDP

Author Eunou Lee

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LIPIcs.ISAAC.2022.48.pdf
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ACM Subject Classification
  • Theory of computation → Approximation algorithms analysis
Keywords
  • Quantum algorithm
  • Optimization
  • Rounding algorithm
  • Quantum Circuit
  • Approximation

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Abstract

In recent years, parameterized quantum circuits have become a major tool to design quantum algorithms for optimization problems.
The challenge in fully taking advantage of a given family of parameterized circuits lies in finding a good set of parameters in a non-convex landscape that can grow exponentially to the number of parameters.
We introduce a new framework for optimizing parameterized quantum circuits: round SDP solutions to circuit parameters.
Within this framework, we propose an algorithm that produces approximate solutions for a quantum optimization problem called Quantum Max Cut.
The rounding algorithm runs in polynomial time to the number of parameters regardless of the underlying interaction graph.
The resulting 0.562-approximation algorithm for generic instances of Quantum Max Cut improves on the previously known best algorithms by Anshu, Gosset, and Morenz with a ratio 0.531 and by Parekh and Thompson with a ratio 0.533.

Cite As Get BibTex

Eunou Lee. Optimizing Quantum Circuit Parameters via SDP. In 33rd International Symposium on Algorithms and Computation (ISAAC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 248, pp. 48:1-48:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022) https://doi.org/10.4230/LIPIcs.ISAAC.2022.48

Author Details

Eunou Lee
  • Sunkyunkwan University, Seoul, South Korea

Acknowledgements

This work was supported by the Postdoctoral Research Program of Sungkyunkwan University (2021).

References

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