On the Phase Estimation Amplitudes in the Quantum Matrix Equation Solver
Xinbo Li, Christopher Phillips, Ian Jeffrey, Vladimir Okhmatovski · 2023
The phase estimation amplitude in the quantum matrix equation solver, namely the Harrow/Hassidim/Lloyd (HHL) algorithm is studied in this work. It is the periodic behavior of the amplitude with respect to the eigenvalue estimation error indicates the choice of the simulation time. The impact of the initial states on the quantum phase estimation (QPE) is also provided. This work is expected to be instructive for the formulation of the error analysis in HHL variants.