A multiprecision matrix calculation library and its extension library for a matrix-product-state simulation of quantum computing

TL;DR

This paper introduces ZKCM, a C++ library for multiprecision matrix calculations, and its extension ZKCM_QC for simulating quantum computing using matrix-product-state methods.

Contribution

Development of a multiprecision matrix calculation library and an extension for quantum computing simulation using tensor networks.

Findings

Efficient tensor operations and SVDs with ZKCM.

Successful quantum circuit simulations with ZKCM_QC.

Enhanced precision in quantum computations.

Abstract

A C++ library, named ZKCM, has been developed for the purpose of multiprecision matrix calculations, which is based on the GNU MP and MPFR libraries. It is especially convenient for writing programs involving tensor-product operations, tracing-out operations, and singular-value decompositions. Its extension library, ZKCM_QC, for simulating quantum computing has been developed using the time-dependent matrix-product-state simulation method. This report gives a brief introduction to the libraries with sample programs.