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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Learning Quantum Observables of Low Degrees from a Logarithmic Number of Random Queries
对数 随机查询 低次量子 可观察量
2023/4/14
A fundamental problem from computational learning theory is to well-reconstruct an unknown function on the discrete hypercubes. One classical result of this problem for the random query model is the l...
It is a great pleasure to announce the 7th Workshop on Quantum Many-Body Computation, which will be held in Beijing from May 5 to 7, 2017. This workshop is organized by the University of Chinese Acade...
Impurity and quaternions in nonrelativistic scattering from a quantum memory
Impurity and quaternions nonrelativistic scattering quantum memory
2015/10/16
Models of quantum computing rely on transformations of the states of a quantum memory. We study mathematical aspects of a model proposed by Wu in which the memory state is changed via the scattering o...
D-polynomials and Taylor formula in quantum calculus
quantum calculus Taylor formula difference operator
2011/1/21
Quantum calculus based on the right invertible divided difference operator D is proposed here in context of algebraic analysis [9].
A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime
Numerical Scheme Quantum Boltzmann Equation Efficient
2010/12/8
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision term. A class of asymptotic preserving schemes
was introduced in ...
We obtain the optimal order of high-dimensional integration complexity in the quantum computation model in anisotropic Sobolev classes $W_{\infty}^{\bf r}([0,1]^d)$ and H$\rm{\ddot{o}}$lder Nikolskii ...
Dimodule Algebras, Long Bialgebras and Quantum Yang-Baxter Modules over Long Bialgebras
long bialgebra dimodule algebra braided product quantum Yang--Baxter module
2007/12/12
This paper gives a sufficient and necessary condition for a bialgebra to be a Long bialgebra, and proves a braided product to be a Long bialgebra under some conditions. It also gives a direct sum deco...
The Compact Quantum Group $U_q(2)$ (II)
compact quantum group $C^*$-algebra trace comultiplication
2007/12/11
In this paper, we first prove that the $\theta$-deformation $U_{\theta}(2)$ of $U(2)$ constructed by Connes and Violette is our special case of the quantum group $U_q(2)$ constructed in our previous p...
A Galois correspondence for II_1 factors and quantum groupoids
A Galois correspondence II_1 factors quantum groupoids
2010/10/29
We establish a Galois correspondence for finite quantum groupoid actions on II_1 factors and show that every finite index and finite depth subfactor is an intermediate subalgebra of a quantum groupoid...