Collective three-body interactions enable a robust quantum speedup

Fuente: arXiv
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Main Authors: Zhang, Haoqing, Chu, Anjun, Luo, Chengyi, Maruko, Chitose, Bohr, Eliot A., Thompson, James K., Rey, Ana Maria
Format: Preprint
Published: 2025
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author Zhang, Haoqing
Chu, Anjun
Luo, Chengyi
Maruko, Chitose
Bohr, Eliot A.
Thompson, James K.
Rey, Ana Maria
author_facet Zhang, Haoqing
Chu, Anjun
Luo, Chengyi
Maruko, Chitose
Bohr, Eliot A.
Thompson, James K.
Rey, Ana Maria
contents We show that collective three-body interactions (3BIs), implementable with $N$ atoms loaded inside an optical cavity, offer a significant advantage for preparing complex multipartite entangled states. Firstly, they enable a speedup of order $\sim N$ in preparing generalized Greenberger-Horne-Zeilinger (GHZ) states, outperforming conventional methods based on all-to-all two-body Ising interactions. Secondly, they saturate the Heisenberg bound in phase estimation tasks using a time-reversal protocol realized through simple rotations and followed by experimentally accessible collective spin measurements. Lastly, compared with two-body interactions (2BIs), in the presence of cavity losses and single particle decoherence, 3BIs feature a high gain in sensitivity for moderate atom numbers and in large ensembles a fast entanglement generation despite constraints in parameter regimes where they are implementable.
format Preprint
id arxiv_https___arxiv_org_abs_2512_06170
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Collective three-body interactions enable a robust quantum speedup
Zhang, Haoqing
Chu, Anjun
Luo, Chengyi
Maruko, Chitose
Bohr, Eliot A.
Thompson, James K.
Rey, Ana Maria
Quantum Physics
We show that collective three-body interactions (3BIs), implementable with $N$ atoms loaded inside an optical cavity, offer a significant advantage for preparing complex multipartite entangled states. Firstly, they enable a speedup of order $\sim N$ in preparing generalized Greenberger-Horne-Zeilinger (GHZ) states, outperforming conventional methods based on all-to-all two-body Ising interactions. Secondly, they saturate the Heisenberg bound in phase estimation tasks using a time-reversal protocol realized through simple rotations and followed by experimentally accessible collective spin measurements. Lastly, compared with two-body interactions (2BIs), in the presence of cavity losses and single particle decoherence, 3BIs feature a high gain in sensitivity for moderate atom numbers and in large ensembles a fast entanglement generation despite constraints in parameter regimes where they are implementable.
title Collective three-body interactions enable a robust quantum speedup
topic Quantum Physics
url https://arxiv.org/abs/2512.06170