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PreprintCC BY 4.0arXiv

Time rescaling for second-order feedback-based quantum optimization

  • Leticia Bertuzzi
  • João P. Engster
  • Evandro C. R. da Rosa
  • Eduardo I. Duzzioni
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Abstract

Feedback-based quantum algorithms recently gained attention by demonstrating how quantum computers can be used to solve optimization problems without resorting to hybrid quantum-classical architectures. Recent progress made with Feedback-based Algorithm for Quantum Optimization (FALQON) variants significantly reduced the depth of the required circuits. In this work, we merge the time-rescaled and second-order FALQON variants into a unified framework. The results show an important improvement over past modifications, reducing circuit depth and allowing a more flexible choice of time-steps, while maintaining stable solutions. This FALQON variant makes it suitable for the NISQ era.

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Cite

BibTeXRIS
BibTeX
@misc{bertuzzi2026time,
  title = {{Time rescaling for second-order feedback-based quantum optimization}},
  author = {Leticia Bertuzzi and João P. Engster and Evandro C. R. da Rosa and Eduardo I. Duzzioni},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21640},
  eprint = {2609.21640},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21640},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Time rescaling for second-order feedback-based quantum optimization
AU  - Leticia Bertuzzi
AU  - João P. Engster
AU  - Evandro C. R. da Rosa
AU  - Eduardo I. Duzzioni
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.21640
UR  - https://arxiv.org/abs/2609.21640
AB  - Feedback-based quantum algorithms recently gained attention by demonstrating how quantum computers can be used to solve optimization problems without resorting to hybrid quantum-classical architectures. Recent progress made with Feedback-based Algorithm for Quantum Optimization (FALQON) variants significantly reduced the depth of the required circuits. In this work, we merge the time-rescaled and second-order FALQON variants into a unified framework. The results show an important improvement over past modifications, reducing circuit depth and allowing a more flexible choice of time-steps, while maintaining stable solutions. This FALQON variant makes it suitable for the NISQ era.
ER  -