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...

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Bibliographic Details
Main Authors: Yulong Dong, Lin Lin, Yu Tong
Format: Article
Language:English
Published: American Physical Society 2022-10-01
Series:PRX Quantum
Online Access:http://doi.org/10.1103/PRXQuantum.3.040305