Abstract:Reservoir computing (RC) has been widely used for learning and predicting dynamical behaviors. However, the success and power of RC lack systematic research and explanation. RC's learning process is analyzed as a nonlinear dynamic procedure to study the influence of parameters on the RC learning effect. The simplest RCs, from single to few nodes, are considered for learning various states of logistic maps. Even the simple single-node RC shows rich dynamical features in the learning process. The relationship between input training states and output predicted states is quite complicated. The phase diagram of the correspondence between input and output states is analyzed through the nonlinear stability analysis. Specifically, the appropriate parameters for learning and predicting the correct states are obtained analytically, and consistent well with numerical simulations. With the increased RC size, the region of appropriate parameters for correct states increases rapidly. For logistic maps and randomly selected RC, 30 nodes are sufficient to ensure a 90 percent success rate for predicting the correct states. The dynamical analysis of reservoir computing provides the basis for its success in learning and predicting various dynamical behaviors.

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	1. Dynamical Analysis of Reservoir Computing: From Single to Few Nodes
	LAN Xiu-Wen, CHEN Wei, GAO Jian, YAN Zi-Xiang, XIAO Jing-Hua, XIAO Jing-Hua
	Physics 18 March 2023
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	Abstract:Reservoir computing (RC) has been widely used for learning and predicting dynamical behaviors. However, the success and power of RC lack systematic research and explanation. RC's learning process is analyzed as a nonlinear dynamic procedure to study the influence of parameters on the RC learning effect. The simplest RCs, from single to few nodes, are considered for learning various states of logistic maps. Even the simple single-node RC shows rich dynamical features in the learning process. The relationship between input training states and output predicted states is quite complicated. The phase diagram of the correspondence between input and output states is analyzed through the nonlinear stability analysis. Specifically, the appropriate parameters for learning and predicting the correct states are obtained analytically, and consistent well with numerical simulations. With the increased RC size, the region of appropriate parameters for correct states increases rapidly. For logistic maps and randomly selected RC, 30 nodes are sufficient to ensure a 90 percent success rate for predicting the correct states. The dynamical analysis of reservoir computing provides the basis for its success in learning and predicting various dynamical behaviors.
	TO cite this article:LAN Xiu-Wen, CHEN Wei, GAO Jian, et al. Dynamical Analysis of Reservoir Computing: From Single to Few Nodes[OL].[18 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759779


	2. From heterogeneous network to homogeneous network: the influence of structure on synergistic epidemic spreading
	LIN Chang, YAN Zi-Xiang, GAO Jian, XIAO Jing-Hua, XIAO Jing-Hua
	Physics 18 March 2023
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	Abstract:Synergistic epidemic-like spreading phenomena in networked system occur in various forms in nature and human society. The networks’ structure characterized by its structural heterogeneity affects the synergistic spreading process dramatically. It was believed that the synergistic epidemic spreading follows a continuous transition on heterogeneous networks, but an explosive one on homogeneous networks. In this work, we adopt the model that interpolates between homogeneous and heterogeneous networks to generate a series of studied networks. By continuously changing the ratio of homogeneous structure α of the network, we numerically show that the interplay between the spreading transition and the structural heterogeneity of network is much more complicated. Although the explosive epidemic transition is likely to be hindered by structural heterogeneity, it could occur on completely heterogeneous network as long as the synergistic strength is sufficiently strong. The predictions of heterogeneous mean-field analysis agree with the numerical results, thus helping to understand the role of structural heterogeneity in affecting synergistic epidemic spreading.
	TO cite this article:LIN Chang, YAN Zi-Xiang, GAO Jian, et al. From heterogeneous network to homogeneous network: the influence of structure on synergistic epidemic spreading[OL].[18 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759760

Saved Papers

Saved Papers


	3. Direct tuning of soliton microcombs in ultrahigh-Q MgF2 crystalline microresonator
	WANG Heng,WANG Chuan
	Physics 09 March 2023
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	Abstract:The dissipative Kerr soliton combs based on microresonators have attracted wide attention due to their high coherence and on-chip integration. Soliton microcombs have been proven to have broad application prospects in the fields of coherent communication, on-chip low-noise microwave generation, optical clock, etc. However, most applications for tuning the bandwidth of soliton microcombs use a thermoelectric cooler (TEC), which increases the complexity of the system. Here, we have fabricated a magnesium fluoride microresonator with an ultrahigh-quality factor of about 927 million. Use \'power-kicking\' technology to actively capture and stabilize solitons. Then, the bandwidth and recoil of the solitons are tuned directly by the acousto-optic modulator of the system. We have demonstrated that this technique provides more direct and concise feedback and reduces the complexity and cost of the system.
	TO cite this article:WANG Heng,WANG Chuan. Direct tuning of soliton microcombs in ultrahigh-Q MgF2 crystalline microresonator[OL].[ 9 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759504


	4. Vorticity and the first class of eigenvalue system associated with SU(2) group
	Zheng Ran
	Physics 16 November 2022
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	Abstract:The concept of vorticity is central to many aspects of fluid dynamics. It is shown that the problem of defining a vortex in a real fluid could be discussed based on the associated quaternions. In this context and in the treatment of vortices in general, the concept of the associated SU(2) group plays such an essential role, meanwhile, in this letter, we construct the first class of eigenvalue system based on the SU(2) group associated with the vorticity in fluid dynamics.
	TO cite this article:Zheng Ran. Vorticity and the first class of eigenvalue system associated with SU(2) group[OL].[16 November 2022] http://en.paper.edu.cn/en_releasepaper/content/4758348


	5. Vorticity and the Associated Quaternions
	Zheng Ran
	Physics 28 October 2022
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	Abstract:In this letter we provide a quaternion expression of the most primary derived field in fluid motion, describing the local spatial variation of a velocity field, to measure the isotropic expansion and the rotation of fluid particles from a new point of view.
	TO cite this article:Zheng Ran. Vorticity and the Associated Quaternions[OL].[28 October 2022] http://en.paper.edu.cn/en_releasepaper/content/4758285


	6. The Analysis of Efficiency for High-dimensional Quantum Secure Direct Communication Under Atmospheric Turbulence
	NIU Jialei,WANG Tiejun,LIU Xinchang
	Physics 02 April 2022
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	Abstract:Recently, there is a tremendous attention on the high-dimensional quantum information processing using the orbital angular momentum(OAM) of photons. It provides an efficient method to increase the capacity of quantum channel. However, OAM is very vulnerable to atmospheric turbulence, resulting in phase distortion and therefore, leading to information leakage during quantum communications. On the other hand, quantum secure direct communications (QSDC) defines an efficient way of information exchange through quantum channels directly. Here in this work, by combining the applications of OAM states of photons as the information carrier with the QSDC, this paper analyzed the performance of the high-dimensional quantum secure direct communication protocol based on encoding the information on the single photon OAM state under the condition of free space channel. Numerically, this paper discussed the performance of OAM states QSDC under atmospheric turbulence, and mainly calculates the influence of cross-talk caused by phase fluctuation on the system. This paper has drawn the conclusion that in weak turbulence, when the beam waist w\' and the Fried parameter r become comparable, the information capacity will decrease sharply.
	TO cite this article:NIU Jialei,WANG Tiejun,LIU Xinchang. The Analysis of Efficiency for High-dimensional Quantum Secure Direct Communication Under Atmospheric Turbulence[OL].[ 2 April 2022] http://en.paper.edu.cn/en_releasepaper/content/4757317


	7. Quantum entanglement between two antiferromagnets in the microcavities
	YANG Xiaoxiao,WANG Tiejun,WANG Chuan
	Physics 02 April 2022
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	Abstract:Magnons are being currently developed as qubits for quantum storage and information processing. Here, in this work, we focus on a hybrid quantum system containing two antiferromagnets, and entanglement between magnons in the antiferromagnets can be generated through strong coupling mediated by the same microwave mode. Moreover, we numerically simulate the process with feasible parameters. The influence of the system parameters, such as the magnon-photon coupling rate, detuning, bias magnetic field and dissipation of entanglement, are discussed. By adjusting some of the experimental parameters, we show that two antiferromagnets can produce a large entanglement, which is a result that has not been previously found in other quantum systems. Our findings may provide a potential platform for the completion of related quantum tasks in the future.
	TO cite this article:YANG Xiaoxiao,WANG Tiejun,WANG Chuan. Quantum entanglement between two antiferromagnets in the microcavities[OL].[ 2 April 2022] http://en.paper.edu.cn/en_releasepaper/content/4757286


	8. Comment on Quantum private query with perfect user privacy against a joint-measurement attack
	Wu Yali,Sun Hongxiang
	Physics 22 March 2021
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	Abstract:The quantum-key-distribution (QKD)-based quantum private query (QPQ) has become a research hotspot in recent years. Although such QPQ protocols are practical, joint-measurement (JM) attack is a noteworthy threat to the security of the database. Specifically, a malicious user can illegally obtain entries more than the average number of honest users from the database. Taking Jakobi et al.\'s protocol as an example, a malicious user can obtain up to 500 bits from a database of 10000 bits in one query instead of the expected 2.44 bits. In order to prevent JM attacks, Yang et al. proposed a novel classical post-processing against the JM attack. But after analysis, we found that there are security flaws in these protocols. It is impossible to achieve joint measurement resistance in the quantum private query agreement between the two parties only through a simple classical post-processing process.
	TO cite this article:Wu Yali,Sun Hongxiang. Comment on Quantum private query with perfect user privacy against a joint-measurement attack[OL].[22 March 2021] http://en.paper.edu.cn/en_releasepaper/content/4754002


	9. Quantum state manipulation based on nitrogen-vacancy centers in diamond
	WANG Jie-Qiong, ZHANG Yong
	Physics 12 March 2021
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	Abstract:A scheme for quantum state manipulation based on the nitrogen-vacancy centers is proposed in the paper. The scheme uses the properties of nuclear and electronic spins to generate the Bell states and performs quantum state manipulation through a series of quantum gates. To avoid state collapse due to the measurement, the scheme transforms the entangled state consisting of electron spin and nuclear spin to the photon entangled state and uses the parity gates for probabilistic identification. The scheme is physically feasible and may provide new perspectives for NV center-based quantum state transfer and quantum information processing.
	TO cite this article:WANG Jie-Qiong, ZHANG Yong. Quantum state manipulation based on nitrogen-vacancy centers in diamond[OL].[12 March 2021] http://en.paper.edu.cn/en_releasepaper/content/4754082


	10. Plasmon Enhanced Visible Light Photocatalytic Activity of Flower-like Au-TiO2 Core-shell Nanoparticles
	Youlong Chen,Liang Ma,Xiang-Bai Chen
	Physics 14 September 2020
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	Abstract:Flower-like Au-TiO2 core-shell nanoparticles (NPs) were synthesized by a facile and high-yield hydrothermal method in which gold NPs were used as cores and TiF4 was used as precursor. A series of characterizations were carried out to examine the morphology, crystallinity, and composition of the nanostructures. The Au-TiO2 core-shell NPs exhibit uniform flower-like morphology, porous TiO2 shells, and strong surface plasmon resonance (SPR) absorption band in the visible light region. Hence, compared with the hollow TiO2 NPs, the Au-TiO2 core-shell NPs exhibited greatly improved photocatalytic activity for the degradation of methylene blue under visible light irradiation. Such enhancement can be ascribed to the resonant energy transfer and direct electron transfer between TiO2 and Au parts in the core-shell nanostructures. We believe that such plasmonic photosensitizers based on this enhancement mechanism would offer much more flexibility for designing solar energy materials, photocatalysts and other optoelectronic devices.
	TO cite this article:Youlong Chen,Liang Ma,Xiang-Bai Chen. Plasmon Enhanced Visible Light Photocatalytic Activity of Flower-like Au-TiO2 Core-shell Nanoparticles[OL].[14 September 2020] http://en.paper.edu.cn/en_releasepaper/content/4752800

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