Link prediction with swarms of chiral quantum walks

Fuente: arXiv
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Main Authors: Forghieri, Gaia, Dubovitskii, Viacheslav, Rossi, Matteo A. C., Paris, Matteo G. A.
Format: Preprint
Published: 2025
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author Forghieri, Gaia
Dubovitskii, Viacheslav
Rossi, Matteo A. C.
Paris, Matteo G. A.
author_facet Forghieri, Gaia
Dubovitskii, Viacheslav
Rossi, Matteo A. C.
Paris, Matteo G. A.
contents Reconstructing protein-protein interaction networks is a central challenge in network medicine, often addressed using link prediction algorithms. Recent studies suggest that quantum walk-based approaches hold promise for this task. In this paper, we build on these algorithms by introducing chirality through the addition of random phases in the Hamiltonian generators. The resulting additional degrees of freedom enable a more diverse exploration of the network, which we exploit by employing a swarm of chiral quantum walks. Thus, we enhance the predictive power of quantum walks on complex networks. Indeed, compared to a non-chiral algorithm, the chiral version exhibits greater robustness, making its performance less dependent on the optimal evolution time--a critical hyperparameter of the non-chiral model. This improvement arises from complementary dynamics introduced by chirality within the swarm. By analyzing multiple phase-sampling strategies, we identify configurations that achieve a practical trade-off: retaining the high predictive accuracy of the non-chiral algorithm at its optimal time while gaining the robustness typical of chirality. Our findings highlight the versatility of chiral quantum walks and their potential to outperform both classical and non-chiral quantum methods in realistic scenarios, including comparisons between successive versions of evolving databases.
format Preprint
id arxiv_https___arxiv_org_abs_2511_14513
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Link prediction with swarms of chiral quantum walks
Forghieri, Gaia
Dubovitskii, Viacheslav
Rossi, Matteo A. C.
Paris, Matteo G. A.
Quantum Physics
Reconstructing protein-protein interaction networks is a central challenge in network medicine, often addressed using link prediction algorithms. Recent studies suggest that quantum walk-based approaches hold promise for this task. In this paper, we build on these algorithms by introducing chirality through the addition of random phases in the Hamiltonian generators. The resulting additional degrees of freedom enable a more diverse exploration of the network, which we exploit by employing a swarm of chiral quantum walks. Thus, we enhance the predictive power of quantum walks on complex networks. Indeed, compared to a non-chiral algorithm, the chiral version exhibits greater robustness, making its performance less dependent on the optimal evolution time--a critical hyperparameter of the non-chiral model. This improvement arises from complementary dynamics introduced by chirality within the swarm. By analyzing multiple phase-sampling strategies, we identify configurations that achieve a practical trade-off: retaining the high predictive accuracy of the non-chiral algorithm at its optimal time while gaining the robustness typical of chirality. Our findings highlight the versatility of chiral quantum walks and their potential to outperform both classical and non-chiral quantum methods in realistic scenarios, including comparisons between successive versions of evolving databases.
title Link prediction with swarms of chiral quantum walks
topic Quantum Physics
url https://arxiv.org/abs/2511.14513