Entanglement-Preserving Control of Three-Qubit Systems Under Local Markovian Dephasing

Siao Xie; Shanping Yu; Zairong Xi

doi:10.1007/978-981-95-6553-5_32

Entanglement-Preserving Control of Three-Qubit Systems Under Local Markovian Dephasing

Siao Xie
, Shanping Yu^*
, Zairong Xi^*

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences
University of Chinese Academy of Sciences
Beijing Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This work uses the GHZ state as the initial state and selects the minimum quantum relative entropy as the entanglement measure. Based on these settings, various traditional dynamical decoupling methods are systematically compared. The results reveal significant limitations in their ability to preserve entanglement under a local Markovian environment. To overcome these limitations, we first investigate non-π pulse control strategies. These strategies induce the system to evolve toward more stable entangled states by modifying the structure of the density matrix. On this basis, three structural stability principles closely related to entanglement preservation are summarized, and two structurally optimized states, |ψ_robust1⟩ and |ψ_robust2⟩, are constructed accordingly, successfully achieving the preservation of entanglement structure in the three-qubit system.

Original language	English
Title of host publication	Proceedings of 2025 Chinese Intelligent Systems Conference
Editors	Yingmin Jia, Yang Liu, Weicun Zhang, Yongling Fu
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	354-362
Number of pages	9
ISBN (Print)	9789819565528
DOIs	https://doi.org/10.1007/978-981-95-6553-5_32
Publication status	Published - 2026
Externally published	Yes
Event	21st Chinese Intelligent Systems Conference, CISC 2025 - Beijing, China Duration: 25 Oct 2025 → 26 Oct 2025

Publication series

Name	Lecture Notes in Electrical Engineering
Volume	1549 LNEE
ISSN (Print)	1876-1100
ISSN (Electronic)	1876-1119

Conference

Conference	21st Chinese Intelligent Systems Conference, CISC 2025
Country/Territory	China
City	Beijing
Period	25/10/25 → 26/10/25

Keywords

decoherence
entanglement preservation
minimum quantum relative entropy

Access to Document

10.1007/978-981-95-6553-5_32

Cite this

Xie, S., Yu, S., & Xi, Z. (2026). Entanglement-Preserving Control of Three-Qubit Systems Under Local Markovian Dephasing. In Y. Jia, Y. Liu, W. Zhang, & Y. Fu (Eds.), Proceedings of 2025 Chinese Intelligent Systems Conference (pp. 354-362). (Lecture Notes in Electrical Engineering; Vol. 1549 LNEE). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-95-6553-5_32

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title = "Entanglement-Preserving Control of Three-Qubit Systems Under Local Markovian Dephasing",

abstract = "This work uses the GHZ state as the initial state and selects the minimum quantum relative entropy as the entanglement measure. Based on these settings, various traditional dynamical decoupling methods are systematically compared. The results reveal significant limitations in their ability to preserve entanglement under a local Markovian environment. To overcome these limitations, we first investigate non-π pulse control strategies. These strategies induce the system to evolve toward more stable entangled states by modifying the structure of the density matrix. On this basis, three structural stability principles closely related to entanglement preservation are summarized, and two structurally optimized states, |ψrobust1⟩ and |ψrobust2⟩, are constructed accordingly, successfully achieving the preservation of entanglement structure in the three-qubit system.",

keywords = "decoherence, entanglement preservation, minimum quantum relative entropy",

author = "Siao Xie and Shanping Yu and Zairong Xi",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2026.; 21st Chinese Intelligent Systems Conference, CISC 2025 ; Conference date: 25-10-2025 Through 26-10-2025",

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Xie, S, Yu, S & Xi, Z 2026, Entanglement-Preserving Control of Three-Qubit Systems Under Local Markovian Dephasing. in Y Jia, Y Liu, W Zhang & Y Fu (eds), Proceedings of 2025 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol. 1549 LNEE, Springer Science and Business Media Deutschland GmbH, pp. 354-362, 21st Chinese Intelligent Systems Conference, CISC 2025, Beijing, China, 25/10/25. https://doi.org/10.1007/978-981-95-6553-5_32

Entanglement-Preserving Control of Three-Qubit Systems Under Local Markovian Dephasing. / Xie, Siao; Yu, Shanping; Xi, Zairong.
Proceedings of 2025 Chinese Intelligent Systems Conference. ed. / Yingmin Jia; Yang Liu; Weicun Zhang; Yongling Fu. Springer Science and Business Media Deutschland GmbH, 2026. p. 354-362 (Lecture Notes in Electrical Engineering; Vol. 1549 LNEE).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - This work uses the GHZ state as the initial state and selects the minimum quantum relative entropy as the entanglement measure. Based on these settings, various traditional dynamical decoupling methods are systematically compared. The results reveal significant limitations in their ability to preserve entanglement under a local Markovian environment. To overcome these limitations, we first investigate non-π pulse control strategies. These strategies induce the system to evolve toward more stable entangled states by modifying the structure of the density matrix. On this basis, three structural stability principles closely related to entanglement preservation are summarized, and two structurally optimized states, |ψrobust1⟩ and |ψrobust2⟩, are constructed accordingly, successfully achieving the preservation of entanglement structure in the three-qubit system.

AB - This work uses the GHZ state as the initial state and selects the minimum quantum relative entropy as the entanglement measure. Based on these settings, various traditional dynamical decoupling methods are systematically compared. The results reveal significant limitations in their ability to preserve entanglement under a local Markovian environment. To overcome these limitations, we first investigate non-π pulse control strategies. These strategies induce the system to evolve toward more stable entangled states by modifying the structure of the density matrix. On this basis, three structural stability principles closely related to entanglement preservation are summarized, and two structurally optimized states, |ψrobust1⟩ and |ψrobust2⟩, are constructed accordingly, successfully achieving the preservation of entanglement structure in the three-qubit system.

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