Deterministic interconversion of GHZ state and KLM state via Lie-transform-based pulse design in Rydberg atoms

Fuente: arXiv
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Main Authors: Wang, J. P., Ji, Y. Q., Yang, L. P., Wang, C. Q., Dong, L., Xiu, X. M.
Format: Preprint
Published: 2024
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author Wang, J. P.
Ji, Y. Q.
Yang, L. P.
Wang, C. Q.
Dong, L.
Xiu, X. M.
author_facet Wang, J. P.
Ji, Y. Q.
Yang, L. P.
Wang, C. Q.
Dong, L.
Xiu, X. M.
contents Conversion between different types of entangled states is an interesting problem in quantum mechanics. But research on the conversion between Greenberger-Horne-Zeilinger (GHZ) state and Knill-Laflamme-Milburn (KLM) state in atomic system is absent. In this paper, we propose a scheme to realize the interconversion (one-step) between GHZ state and KLM state with Rydberg atoms. By utilizing Rydberg-mediated interactions, we simplify the system. By combining Lie-transform-based pulse design, the evolution path is built up to realize interconversion of GHZ state and KLM state. The numerical simulation result shows that the present scheme is robust against decoherence and operational imperfection, the analysis shows that the scheme is feasible with current experimental technology.
format Preprint
id arxiv_https___arxiv_org_abs_2405_15456
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Deterministic interconversion of GHZ state and KLM state via Lie-transform-based pulse design in Rydberg atoms
Wang, J. P.
Ji, Y. Q.
Yang, L. P.
Wang, C. Q.
Dong, L.
Xiu, X. M.
Quantum Physics
Conversion between different types of entangled states is an interesting problem in quantum mechanics. But research on the conversion between Greenberger-Horne-Zeilinger (GHZ) state and Knill-Laflamme-Milburn (KLM) state in atomic system is absent. In this paper, we propose a scheme to realize the interconversion (one-step) between GHZ state and KLM state with Rydberg atoms. By utilizing Rydberg-mediated interactions, we simplify the system. By combining Lie-transform-based pulse design, the evolution path is built up to realize interconversion of GHZ state and KLM state. The numerical simulation result shows that the present scheme is robust against decoherence and operational imperfection, the analysis shows that the scheme is feasible with current experimental technology.
title Deterministic interconversion of GHZ state and KLM state via Lie-transform-based pulse design in Rydberg atoms
topic Quantum Physics
url https://arxiv.org/abs/2405.15456