Probing dephasing and non-Markovian effects on three-qubit states

doi:10.1088/1674-1056/ae1822

中国物理B ›› 2026, Vol. 35 ›› Issue (5): 50302-050302.doi: 10.1088/1674-1056/ae1822

Probing dephasing and non-Markovian effects on three-qubit states

Muhammad Noman¹, Aqsa Mushtaq², and Wei Cui(崔巍)^1,3,†

1 School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, China;
2 Center for High Energy Physics, University of the Punjab, Lahore 54590, Pakistan;
3 Quantum Science Center of Guangdong-Hong Kong-Macau Greater Bay Area, Shenzhen 518000, China

收稿日期:2025-09-30 修回日期:2025-10-27 接受日期:2025-10-28 发布日期:2026-05-07
通讯作者: Wei Cui E-mail:aucuiwei@scut.edu.cn
基金资助:
Project supported by the Fund from Guangdong Provincial Quantum Science Strategic Initiative (Grant Nos. GDZX2505001 and GDZX2303009), the National Natural Science Foundation of China (Grant No. 62273154), and the TCL Science and Technology Innovation Fund (Grant No. 20242062).

Probing dephasing and non-Markovian effects on three-qubit states

Muhammad Noman¹, Aqsa Mushtaq², and Wei Cui(崔巍)^1,3,†

1 School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, China;
2 Center for High Energy Physics, University of the Punjab, Lahore 54590, Pakistan;
3 Quantum Science Center of Guangdong-Hong Kong-Macau Greater Bay Area, Shenzhen 518000, China

Received:2025-09-30 Revised:2025-10-27 Accepted:2025-10-28 Published:2026-05-07
Contact: Wei Cui E-mail:aucuiwei@scut.edu.cn
Supported by:
Project supported by the Fund from Guangdong Provincial Quantum Science Strategic Initiative (Grant Nos. GDZX2505001 and GDZX2303009), the National Natural Science Foundation of China (Grant No. 62273154), and the TCL Science and Technology Innovation Fund (Grant No. 20242062).

摘要/Abstract

摘要： We investigate the dynamical maps of coherence, entanglement, and purity in two distinct three-qubit class states: the Werner (W-like) and Greeneberger-Horne-Zeillinger (GHZ-like) states. Utilizing a classical channel affected by Ornstein Uhlenbeck (OU) and Random Telegraph (RT) noise, we explore two scenarios: coupling two qubits with RT noise and one with OU noise, and vice versa. The preservation of coherence, entanglement, and purity is analyzed using the $\ell_1$ norm of coherence, entanglement witness operation, and purity measures. Our results reveal that the considered dephasing channels lead to a decrease in initially encoded quantum correlations, even in the presence of Gaussian OU noise, which typically induces monotonic decay. The non-monotonic behavior and decay are primarily governed by the parameters of OU and RT noises, with the configuration where OU noise affects two qubits and RT noise affects the third being optimal for quantum correlation preservation. Comparing the two states, the GHZ-like state exhibits superior preservation under RT noise influencing two local fields and qubits, while the W-like state performs better when OU noise affects two qubits. Overall, the GHZ-like state shows enhanced revival characteristics compared to the W-like state.

关键词: entanglement, coherence, purity, Markovian/non-Markovian maps, GHZ-/W-like state

Abstract: We investigate the dynamical maps of coherence, entanglement, and purity in two distinct three-qubit class states: the Werner (W-like) and Greeneberger-Horne-Zeillinger (GHZ-like) states. Utilizing a classical channel affected by Ornstein Uhlenbeck (OU) and Random Telegraph (RT) noise, we explore two scenarios: coupling two qubits with RT noise and one with OU noise, and vice versa. The preservation of coherence, entanglement, and purity is analyzed using the $\ell_1$ norm of coherence, entanglement witness operation, and purity measures. Our results reveal that the considered dephasing channels lead to a decrease in initially encoded quantum correlations, even in the presence of Gaussian OU noise, which typically induces monotonic decay. The non-monotonic behavior and decay are primarily governed by the parameters of OU and RT noises, with the configuration where OU noise affects two qubits and RT noise affects the third being optimal for quantum correlation preservation. Comparing the two states, the GHZ-like state exhibits superior preservation under RT noise influencing two local fields and qubits, while the W-like state performs better when OU noise affects two qubits. Overall, the GHZ-like state shows enhanced revival characteristics compared to the W-like state.

Key words: entanglement, coherence, purity, Markovian/non-Markovian maps, GHZ-/W-like state

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

Muhammad Noman, Aqsa Mushtaq, and Wei Cui(崔巍). Probing dephasing and non-Markovian effects on three-qubit states[J]. 中国物理B, 2026, 35(5): 50302-050302.

Muhammad Noman, Aqsa Mushtaq, and Wei Cui(崔巍). Probing dephasing and non-Markovian effects on three-qubit states[J]. Chin. Phys. B, 2026, 35(5): 50302-050302.

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Probing dephasing and non-Markovian effects on three-qubit states

Probing dephasing and non-Markovian effects on three-qubit states

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