Recursive quantum eigenvalue and singular-value transformation: Analytic construction of matrix sign function by Newton iteration

Quantum eigenvalue transformation (QET) and its generalization, quantum singular value transformation (QSVT), are versatile quantum algorithms that allow us to apply broad matrix functions to quantum states, which cover many significant quantum algorithms such as Hamiltonian simulation. However, fin...

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Bibliographic Details
Published in:Physical Review Research
Main Authors: Kaoru Mizuta, Keisuke Fujii
Format: Article
Language:English
Published: American Physical Society 2024-01-01
Online Access:http://doi.org/10.1103/PhysRevResearch.6.L012007