Ground-State Preparation and Energy Estimation on Early Fault-Tolerant Quantum Computers via Quantum Eigenvalue Transformation of Unitary Matrices
Under suitable assumptions, some recently developed quantum algorithms can estimate the ground-state energy and prepare the ground state of a quantum Hamiltonian with near-optimal query complexities. However, this is based on a block-encoding input model of the Hamiltonian, the implementation of whi...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
American Physical Society
2022-10-01
|
Series: | PRX Quantum |
Online Access: | http://doi.org/10.1103/PRXQuantum.3.040305 |