Quantum algorithm for matrix logarithm by integral formula

DOI10.1007/s11128-022-03824-yOpenAlexW4317499943MaRDI QIDQ2686238

Songling Zhang, Hua Xiang, Yatian Wang

Publication date: 24 February 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.08914

zbMATH Keywords

quantum algorithmGauss-Legendrematrix logarithm

Mathematics Subject Classification ID

Quantum computation (81P68) Numerical computation of matrix exponential and similar matrix functions (65F60)

Uses Software

• mftoolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Von Neumann entropy and phase distribution of two mode parametric amplifier interacting with a single atom
• Integral representation of the logarithm of matrices and operators
• Quantum Computation and Quantum Information
• Padé error estimates for the logarithm of a matrix
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision
• Computational Techniques for Real Logarithms of Matrices
• Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
• Functions of Matrices

This page was built for publication: Quantum algorithm for matrix logarithm by integral formula