Quantum Circuit Optimization by Graph Coloring

Fuente: arXiv
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Autori principali: Lee, Hochang, Jeong, Kyung Chul, Kim, Panjin
Natura: Preprint
Pubblicazione: 2025
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author Lee, Hochang
Jeong, Kyung Chul
Kim, Panjin
author_facet Lee, Hochang
Jeong, Kyung Chul
Kim, Panjin
contents This work shows that minimizing the depth of a quantum circuit composed of commuting operations reduces to a vertex coloring problem on an appropriately constructed graph, where gates correspond to vertices and edges encode non-parallelizability. The reduction leads to algorithms for circuit optimization by adopting any vertex coloring solver as an optimization backend. The approach is validated by numerical experiments as well as applications to known quantum circuits, including finite field multiplication and QFT-based addition.
format Preprint
id arxiv_https___arxiv_org_abs_2501_14447
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Circuit Optimization by Graph Coloring
Lee, Hochang
Jeong, Kyung Chul
Kim, Panjin
Quantum Physics
Computational Complexity
Emerging Technologies
This work shows that minimizing the depth of a quantum circuit composed of commuting operations reduces to a vertex coloring problem on an appropriately constructed graph, where gates correspond to vertices and edges encode non-parallelizability. The reduction leads to algorithms for circuit optimization by adopting any vertex coloring solver as an optimization backend. The approach is validated by numerical experiments as well as applications to known quantum circuits, including finite field multiplication and QFT-based addition.
title Quantum Circuit Optimization by Graph Coloring
topic Quantum Physics
Computational Complexity
Emerging Technologies
url https://arxiv.org/abs/2501.14447