One of the main challenges in numerical simulation of quantum dynamics is the prohibitive cost in the semi-classical regime, in which the de Broglie wave length is small compared with the characteristic length scale and the solution is highly oscillatory. For the von-Neumann equation for mixed-state quantum dynamics, t...
One of the main challenges in quantum simulation is the prohibitive cost of computing its solutions in the semi-classical regime, in which the de Broglie wavelength is small compared with the characteristic length scale and the solution is highly oscillatory. This difficulty is overcome by using the Weyl variable, unde...
We present an improved autonomization method for quantum simulation of time-dependent homogeneous dissipative linear systems, combining a clock-variable reformulation with Schr\"odingerization to obtain a time-independent Hamiltonian system. To control both discretization error and recovery probability, we construct th...
Xiao-Jing Dong, Chu-Wen Ma, Yi-Zhen Peng et al.· 1 citation
The biharmonic equation is a prototypical fourth-order partial differential equation whose high-dimensional discretization suffers from rapidly growing degrees of freedom and severe ill-conditioning. We develop QSVT--VTAA quantum linear-system algorithms by constructing explicit block-encodings tailored to periodic, si...
Chuwen Ma, Zihao Tang· 0 citations
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