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fidelity of quantum information for V-type three-level atom interacting with a number state light field in Kerr medium

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Chinese Physics B 2008年第4期17卷 1248-1253页

作者：刘素梅贺安之纪运景 School of Science Nanjing University of Science and Technology

In this paper the evolution characteristics of the fidelity of quantum information for the V-type three-level atom interacting with number state light field in Kerr meddium are investigated. It shows that the periodicity of the evolutions of fidelity of quantum information is influenced by the Kerr coefficient, the photon number of the initial field and intensity of light. The evolutions of the fidelity of quantum information are modulated by the initial number state field. The Rabi oscillation frequency and the modulation frequency of fidelity for the field and the system vary with the value of the Kerr coefficient. The evolutions of fidelity of quantum information obviously show the quantum collapse and revival behaviours in the system of atom interacting with light field.

关键词： quantum optics fidelity number state Kerr medium

fidelity of an electron in one-dimensional determined potentials

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Chinese Physics B 2009年第11期18卷 4707-4710页

作者：宋文广童培庆 Department of Physics Nanjing Normal University Department of Basic Disciplines International Studies University of People's Liberation Army

We numerically study the fidelity of an electron in the one-dimensional Harper model and in the one-dimensional slowly varying potential model. Our results show that many properties of the two models can be well reflected by the fidelity：（i） the mobility edge and metal-insulator transition can be characterized by the static fidelity; （ii） the extended state and localized state can be identified by the dynamic fidelity. Therefore, it may broaden the applied areas of the fidelity.

关键词： fidelity extended and localized state metal-insulator transition mobility edge

fidelity and fidelity susceptibility based on Hilbert-Schmidt inner product

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Science China(Physics,Mechanics & Astronomy) 2012年第9期55卷 1529-1534页

作者： LIU Jing LU XiaoMing MA Jian WANG XlaoGuang Zhejiang Institute of Modern Physics Department of Physics Zhejiang University Hangzhou 310027 China Centre for Quantum Technologies National University of Singapore 3 Science Drive 2 Singapore 117543 Singapore Zhejiang Institute of Modern Physics Deparmtent of Physics Zhejiang University Hangzhou 310027 China

We reinvestigate the fidelity based on Hilbert-Schmidt inner product and give a simplified *** geometric meaning of the fidelity is *** then give the analytic expression of the fidelity susceptibility in both Hilbert and Liouville *** using the reconstruction of symmetric logarithmic derivative in Liouville space,we present the time derivative of fidelity susceptibility with the normalized density vector representation.

关键词： fidelity fidelity susceptibility Liouville space

fidelity of the APHRODITE Dataset in Representing Extreme Precipitation over Central Asia

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Advances in Atmospheric Sciences 2020年第12期37卷 1405-1416页

作者： Sheng LAI Zuowei XIE Cholaw BUEH Yuanfa GONG College of Atmospheric Science Chengdu University of Information TechnologyChengdu 610225China International Center for Climate and Environment Sciences Institute of Atmospheric PhysicsChinese Academy of SciencesBeijing 100029China

Using rain-gauge-observation daily precipitation data from the Global Historical Climatology Network(V3.25)and the Chinese Surface Daily Climate Dataset(V3.0),this study investigates the fidelity of the AHPRODITE dataset in representing extreme precipitation,in terms of the extreme precipitation threshold value,occurrence number,probability of detection,and extremal dependence index during the cool(October to April)and warm(May to September)seasons in Central Asia during 1961–*** distribution of extreme precipitation is characterized by large extreme precipitation threshold values and high occurrence numbers over the mountainous *** APHRODITE dataset is highly correlated with the gauge-observation precipitation data and can reproduce the spatial distributions of the extreme precipitation threshold value and total occurrence ***,APHRODITE generally underestimates the extreme precipitation threshold values,while it overestimates the total numbers of extreme precipitation events,particularly over the mountainous *** biases can be attributed to the overestimation of light rainfall and the underestimation of heavy rainfall induced by the rainfall distribution–based *** deficits are more evident for the warm season than the cool season,and thus the biases are more pronounced in the warm season than in the cool *** probability of detection and extremal dependence index reveal that APHRODITE has a good capability of detecting extreme precipitation,particularly in the cool season.

关键词： APHRODITE extreme precipitation Central Asia Xinjiang fidelity

fidelity of states in infinite-dimensional quantum systems

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Science China(Physics,Mechanics & Astronomy) 2012年第10期55卷 1820-1827页

作者： HOU JinChuan QI XiaoFei Department of Mathematics Taiyuan University of TechnologyTaiyuan 030024China Department of Mathematics Shanxi UniversityTaiyuan 030006China

We discuss the fidelity of states in the infinite-dimensional systems and give an elementary proof of the infinite-dimensional version of Uhlmann's *** theorem is used to generalize several properties of the fidelity of the finite-dimensional case to the infinite-dimensional *** are somewhat different from those for the finite-dimensional case.

关键词： Hilbert space trace quantum states fidelity entanglement fidelity

Entanglement fidelity of channel adaptive quantum codes

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Chinese Physics B 2013年第1期22卷 104-109页

作者：詹云陈小余 College of Information and Electronic Engineering Zhejiang Gongshang University

We study the performances of quantum channel adaptive [4,1] code transmitting in a joint amplitude damping and dephasing channel, the [6,2] code transmitting in an amplitude damping channel by combining the encoding, noise process, and decoding as one effective channel. We explicitly obtain the entanglement fidelities. The recovery operators of the [6,2] code are given. The performance is nearly optimal compared with that of the optimal method of semidefinite programming.

关键词： adaptive quantum code amplitude damping channel fidelity

Efficient multi-response adaptive sampling algorithm for construction of variable-fidelity aerodynamic tables

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Chinese Journal of Aeronautics 2019年第3期32卷 547-558页

作者： Maxim TYAN Jae-Woo LEE Department of Aerospace Information Engineering Konkuk University

Adaptive sampling is an iterative process for the construction of a global approximation model. Most of engineering analysis tools computes multiple parameters in a single run. This research proposes a novel multi-response adaptive sampling algorithm for simultaneous construction of multiple surrogate models in a time-efficient and accurate manner. The new algorithm uses the Jackknife cross-validation variance and a minimum distance metric to construct a sampling criterion function. A weighted sum of the function is used to consider the characteristics of multiple surrogate models. The proposed algorithm demonstrates good performance on total 22 numerical problems in comparison with three existing adaptive sampling algorithms. The numerical problems include several two-dimensional and six-dimensional functions which are combined into singleresponse and multi-response systems. Application of the proposed algorithm for construction of aerodynamic tables for 2 D airfoil is demonstrated. Scaling-based variable-fidelity modeling is implemented to enhance the accuracy of surrogate modeling. The algorithm succeeds in constructing a system of three highly nonlinear aerodynamic response surfaces within a reasonable amount of time while preserving high accuracy of approximation.

关键词： Adaptive sampling Aerodynamic database Multi-response system Surrogate modeling Variable fidelity modeling

Average fidelity estimation of twirled noisy quantum channel using unitary 2t-design

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Chinese Physics B 2019年第1期28卷 223-231页

作者： Linxi Zhang Changhua Zhu Changxing Pei State Key Laboratory of Integrated Services Networks Xidian UniversityXi’an 710071China Science and Technology on Communication Networks Laboratory Shijiazhuang 050081China

We propose a method to estimate the average fidelity using the unitary 2t-design of a twirled noisy channel, which is suitable for large-scale quantum circuits. Compared with the unitary 2-design in randomized benchmarking, the unitary2t-design for the twirling of noisy channels is more flexible in construction and can provide more information. In addition,we prove that the proposed method provides an efficient and reliable estimation of the average fidelity in benchmarking multistage quantum gates and estimating the weakly gate-and time-dependent noise. For time-dependent noise, we provide a scheme of moment superoperator to analyze the noise in different experiments. In particular, we give a lower bound on the average fidelity of a channel with imperfect implementation of benchmarking and state preparation and measurement errors(SPAM).

关键词： quantum channel average fidelity unitary 2t-design

Sudden birth and sudden death of thermal fidelity in a two-qubit system

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Chinese Physics B 2012年第5期21卷 487-493页

作者：秦立国田立君姜颖张宏标 Department of Physics Shanghai University Institute of Theoretical Physics Northeast Normal University

We study the energy level crossing and the thermal fidelity in a two-qubit system with the presence of a transverse inhomogeneous magnetic *** the help of contour plots,we clearly identify the ground states of the system in different regions of parameter space,and discuss the corresponding energy level *** fidelity between the ground state of the system and the state of the system at temperature T is *** result shows that the fidelity is very sensitive to the magnetic field anisotropic factor,indicating that this factor may be used as a controller of the *** influence of the Yangian transition operators on the fidelity of the system is *** find that the Yangian operators can change the fidelity dramatically and give rise to sudden birth and sudden death phenomena of the thermal *** makes the corresponding Yangian operators possible candidates for switchers to turn the fidelity on and off.

关键词： the ground state energy level crossing fidelity Yangian