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arXiv:2512.22541 · Laser Physics Letters

Entanglement protection induced by mixed noise

Tengtao Guo, Yuxuan Zhou, Jiahui Feng, Xinyu Zhao, Yan Xia

quant-phSubmitted Dec 27, 2025• Announced Dec 30, 2025• 0 citations
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Abstract

Contrary to the conventional view that noise is detrimental, we show that mixed noise can protect entanglement in a two-atom-cavity system. Specifically, the leakage of the cavity and the stochastic atom-cavity couplings are modeled as two types of noises. From the analytical derivation of the dynamical equations, the mechanism of the entanglement protection is revealed as the high-frequency(HF) noise in the atom-cavity couplings could suppress the decoherence caused by the cavity leakage, thus protect the entanglement. We investigate the entanglement protection induced by mixed noise constructed from diverse noise types, including the Ornstein-Uhlenbeck noise, flicker noise, and telegraph noise. Numerical simulations demonstrate that entanglement protection depends critically on the proportion of HF components in the power spectral density of the mixed noise. Our work establishes that enhanced HF components are essential for effective noise-assisted entanglement protection, offering key insights for noise engineering in practical open quantum systems.

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9 pages, 6 figures

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Contrary to the conventional view that noise is detrimental, we show that mixed noise can protect entanglement in a two-atom-cavity system. Specifically, the leakage of the cavity and the stochastic atom-cavity couplings are modeled as two types of noises. From the analytical derivation of the dynamical equations, the mechanism of the entanglement protection is revealed as the high-frequency(HF) noise in the atom-cavity couplings could suppress the decoherence caused by the cavity leakage, thus protect the entanglement. We investigate the entanglement protection induced by mixed noise constructed from diverse noise types, including the Ornstein-Uhlenbeck noise, flicker noise, and telegraph noise. Numerical simulations demonstrate that entanglement protection depends critically on the proportion of HF components in the power spectral density of the mixed noise. Our work establishes that enhanced HF components are essential for effective noise-assisted entanglement protection, offering key insights for noise engineering in practical open quantum systems.
Abstract Noise is often considered as the biggest enemy of maintaining quantum coherence. However, in this paper, we show a scheme to protect quantum coherence by introducing extra noise. To be specific, we study an atom coupled to a single mode cavity (Jaynes–Cummings model) with two noises. One is from the cavity leakage, the other is from the stochastic atom-cavity coupling. Based on the non-Markovian dynamical equation, we show the quantum coherence can be protected by introducing the noise in the atom-cavity coupling. We study four different types of noises and show their performance on the coherence protection. We also analytically reveal the mechanism of the quantum coherence protection, namely the high frequency noise can freeze the dynamics thus protect coherence. Last but not least, a mixture of different types of noises (hybrid noise) is studied. We show the mixture can lower the performance of the coherence protection scheme and provide an explanation. We hope the results presented here may attract more attention on protecting quantum coherence by utilizing noise.
Abstract Noise is often considered as the biggest enemy of maintaining quantum entanglement. However, in this paper, it shows quantum entanglement can be protected by introducing extra noises to a quantum system. As an example, the dynamics of a two‐qubit system coupled to a cavity is studied under the influence of three noises, a quantized noise from the leakage of the cavity and two classical noises in the couplings between the two‐qubit system and the cavity. The master equation beyond the Markov approximation is derived and the mechanism of the entanglement protection is analyzed in a special case with analytical solutions. In short, the entanglement loss caused by the dissipation to the bath might be weaken by introducing high‐frequency classical noises properly. The numerical simulations not only confirm the feasibility of protecting entanglement by noises but also reveal that the properties of the classical noises have a significant impact on the performance of the entanglement protection.
We investigate qubit entanglement dynamics in a two-qubit cavity system with stochastically fluctuating coupling strength, comparing white noise (Markovian) and Ornstein-Uhlenbeck noise (non-Markovian) processes. We analytically solve the system dynamics for both Fock and coherent cavity states and systematically characterize how initial qubit configurations affect entanglement generation and preservation. Our results reveal distinct dynamical regimes: in the Fock-state cavity, initial states in the single-excitation subspace generate robust qubit entanglement in decoherence-free subspaces, while initially entangled states in the double-excitation subspace exhibit inevitable decay without protective symmetries. For coherent cavities, we identify a critical photon-number threshold in the intermediate coherent-state amplitude regime where dynamics transition from low-frequency to high-frequency entanglement oscillations, while universal entanglement loss occurs at large amplitudes. Remarkable resilience against entanglement sudden death emerges under strong non-Markovian noise with long correlation times, where repeated revivals occur. These findings establish cavity photon statistics and environmental memory time as key control parameters for engineering qubit entanglement dynamics in qubit-cavity systems, revealing how system-environment correlations govern quantum information preservation.
Abstract In this paper, we propose a scheme to protect quantum coherence by adding another noise. We consider an example of a Jaynes–Cummings model coupled to an external non-Markovian bosonic bath. We solve this model by using the dressed state method in the presence of a stochastic coupling and obtain the density matrix by numerically averaging many stochastic trajectories. We show that the noisy atom-cavity coupling can effectively suppress both the relaxation and dephasing effects caused by the leakage of the cavity. Besides, we further illustrate the impacts of the standard deviation of the noisy coupling and the non-Markovian memory effect on the coherence protection. Then, the mechanism of the protection is analyzed. It is our hope that our research may open a new path to consider the role of noise in quantum coherence preservation.
Abstract We introduce a paradigm of spectral engineering for environmental noise aimed at actively protecting quantum coherence in solid-state qubits. Through the analytical study of the decoherence process induced by cavity leakage in a double-quantum-dot–cavity system, we demonstrate high-frequency charge noise can effectively freeze the quantum state and protect quantum coherence. Then, departing from conventional noise-suppression strategies, we propose to synthesize tailored noise spectra by linearly mixing multiple Ornstein–Uhlenbeck (OU) stochastic processes. The composite noise is designed to possess a power spectral density enriched in high-frequency components which is required for coherence protection. Our method provides a general framework for approximating arbitrary noise profiles, including the ubiquitous 1 / f spectrum prevalent in semiconductor devices, using only a finite set of simple noises. Numerical simulations confirm that a noise field synthesized from a sufficiently large number of OU processes preserves coherence significantly better than one constructed from just a few components. This work establishes noise engineering as a practical tool for coherence management and offers a versatile model for simulating complex noise environments in quantum information platforms.
In this paper, we investigate coherence protection of a quantum system coupled to a hierarchical environment by utilizing noise. As an example, we solve the Jaynes-Cummings model in the presence of both a classical and a quantized noise. The master equation is derived beyond the Markov approximation, where the influence of memory effects from both noises is taken into account. More importantly, we find that the performance of the coherence protection sensitively depends on the non-Markovian properties of both noises. By analyzing the mathematical mechanism of the coherence protection, we show the decoherence caused by a non-Markovian noise with longer memory time can be suppressed by another Markovian noise with shorter memory time. Last but not least, as an outlook, we try to analyze the connection between the atom-cavity entanglement and the atomic coherence, then discuss the possible clue to search the required noise. The results presented in this paper show the possibility of protecting coherence by utilizing noise and may open an alternative path to design noise-assisted coherence protection schemes.