A multiprecision C++ library for matrix-product-state simulation of quantum computing: Evaluation of numerical errors

A multiprecision C++ library for matrix-product-state simulation of quantum computing: Evaluation of numerical errors
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用于量子计算矩阵乘积状态模拟的多精度 C 库:数值误差评估

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发表时间:
2012
期刊:
影响因子:
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通讯作者:
A. Saitoh
A. Saitoh
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作者:
A. Saitoh

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含时矩阵积态(TDMPS)模拟方法用于量子计算的数值模拟已有十年的历史。我们介绍了我们的C++库ZKCM_QC开发的量子电路的多精度TDMPS模拟。除了它的实际可用性,库是有用的方法本身的评估。利用该库,我们可以捕获TDMPS模拟中的两种类型的数值误差:一种是由于浮点数尾数部分不足引起的舍入误差;另一种是由于不可忽略的施密特系数及其相应的施密特向量的截断。我们在量子计算的TDMPS模拟中数值分析了这些误差。
The time-dependent matrix-product-state (TDMPS) simulation method has been used for numerically simulating quantum computing for a decade. We introduce our C++ library ZKCM_QC developed for multiprecision TDMPS simulations of quantum circuits. Besides its practical usability, the library is useful for evaluation of the method itself. With the library, we can capture two types of numerical errors in the TDMPS simulations: one due to rounding errors caused by the shortage in mantissa portions of floating-point numbers; the other due to truncations of nonnegligible Schmidt coefficients and their corresponding Schmidt vectors. We numerically analyze these errors in TDMPS simulations of quantum computing.
DOI: 10.1038/srep01235
发表时间: 2013
期刊: SCIENTIFIC REPORTS
影响因子: 4.6
作者:
Johnson, T. H.;Biamonte, J. D.;Clark, S. R.;Jaksch, D.
通讯作者: Jaksch, D.