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

24th IUPAP Conference on Computational Physics

物理学;计算机科学

Saitoh, Akira^1

Quantum Information Science Theory Group, National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda, Tokyo 101-8430, Japan^1

关键词: Floating point numbers;    Matrix product state;    Multi precision;    Numerical errors;    Quantum circuit;    Quantum Computing;    Rounding errors;    Time dependent;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/454/1/012064/pdf
DOI  :  10.1088/1742-6596/454/1/012064

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

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.