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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Error Exponents and Rényi Information Divergence in Quantum Information
量子信息 误差指数 仁义信息发散
2023/4/28
In quantum information theory, the error exponents characterize the best rate of exponential convergence of the error towards 0 or 1, as the number of copies of the underlying resources increases. In ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy stability and error analysis of a maximum bound principle preserving scheme for the dynamical Ginzburg-Landau equations of Superconductivity
超导动力学 金茨堡-朗道方程 最大界界原理 能量稳定性 误差分析
2023/4/25
We focus on numerical study of the dynamical Ginzburg-Landau equations under the temporal gauge, and propose a decoupled numerical scheme based on the finite element method. For the variable A, the se...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved error estimates of the splitting methods for the long-time dynamics for the weakly nonlinear Schrodinger equations
弱非线性薛定谔方程 长时间动力学 分裂方法 误差估计
2023/4/21
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quantum Error Correction: Foundation and Landscape
量子纠错 基础景观 量子纠错理论
2023/4/18
Quantum error correction theory lies at the heart of universal quantum computing. So far, people do not find or realize good-enough error correction codes yet. In this talk, I will survey the foundati...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quantum Error Correction: Fault-tolerance and Universality
量子纠错 容错性 通用性
2023/4/17
There is a big gap between the so-called NISQ (noisy intermediate-scale quantum) and FTQ (fault-tolerant quantum) computing. Recently, we introduced QEQ (quasi-exact quantum) computing, which lies in ...
On Stochastic Error and Computational Efficiency of the Markov Chains Monte Carlo Method
Monte Carlo simulation phase coexistence Gibbs ensemble molecular simulation multi-component system
2012/4/24
In Monte Carlo simulations, the thermal equilibria quantities are estimated by ensemble average over a sample set containing a large number of correlated samples. As the stochastic error of the simula...
Effect of finite terms on the truncation error of Mie series
finite terms truncation error Mie series
2012/2/29
The finite sum of the squares of the Mie coefficients is very useful for addressing problems of classical light scattering. An approximate formula available in the literature, and still in use today, ...
Gafchromic film dosimetry: calibration methodology and error analysis
Gafchromic film dosimetry calibration methodology error analysis
2011/8/5
Abstract: Purpose : To relate the physical transmittance parameters of the water equivalent Gafchromic EBT 2 Film with the delivered dose in a transparent absolute calibration protocol. The protocol s...
Quadratic Dynamical Decoupling: Universality Proof and Error Analysis
Quadratic Dynamical Decoupling Universality Proof Error Analysis
2011/9/13
We prove the universality of the generalized QDDN1N2 (quadratic dynamical decoupling) pulse sequence for near-optimal suppression of general single-qubit decoherence. Earlier work showed numerically t...
Quadratic Dynamical Decoupling: Universality Proof and Error Analysis
Quadratic Dynamical Decoupling Universality Proof Error Analysis Quantum Physics
2011/7/27
Quadratic Dynamical Decoupling: Universality Proof and Error Analysis.
5-qubit quantum error correction in a charge qubit quantum computer
quantum error correction 5-qubit code solid-state quantum register
2010/11/5
We implement the DiVincenzo-Shor 5 qubit quantum error correcting code into a solid-state quantum register. The quantum register is a multi charge-qubit system in a semiconductor environment, where th...
Quantum computing with nearest neighbor interactions and error rates over 1%
Quantum computing nearest neighbor interactions error rates 1%
2010/10/20
Large-scale quantum computation will only be achieved if experimentally implementable quantum
error correction procedures are devised that can tolerate experimentally achievable error rates. We descr...
Error probability analysis in quantum tomography: a tool for evaluating experiments
Error probability analysis quantum tomography: evaluating experiments
2010/10/19
We expand the scope of the statistical notion of error probability, i.e., how often large deviations are observed in an experiment, in order to make it directly applicable to quantum tomography. We ve...
NP-hardness of decoding quantum error correction codes
NP-hardness quantum error correction codes
2010/10/18
Though the theory of quantum error correction is intimately related to the classical coding theory,in particular, one can construct quantum error correction codes (QECCs) from classical codes with the...
Entanglement can increase asymptotic rates of zero-error classical communication over classical channels
Entanglement asymptotic rates zero-error classical communication classical channels
2010/10/18
It is known that the number of di erent classical messages which can be communicated
with a single use of a classical channel with zero probability of decoding error can sometimes
be increased by us...