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Quantum phase estimation is one of the critical building blocks of quantum computing.
Quantum measurements and the abelian stabilizer problem
A. Y. Kitaev · 1995
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Quantum Computation and Quantum Information
M. A. Nielsen and I. L. Chuang · 2000
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Quantum NP-a survey
D. Aharonov and T. Naveh · 2002
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Classical and quantum computation
A. Y. Kitaev, A. Shen, M. N. Vyalyi, and M. N. Vyalyi · 2002
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Quantum metrology
V. Giovannetti, S. Lloyd, and L. Maccone · 2006
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The complexity of the local Hamiltonian problem
J. Kempe, A. Kitaev, and O. Regev · 2006
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Entanglement-free Heisenberg-limited phase estimation
B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde · 2007
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Optimal quantum measurements of expectation values of observables
E. Knill, G. Ortiz, and R. D. Somma · 2007
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Sampling from the thermal quantum gibbs state and evaluating partition functions with a quantum computer
D. Poulin and P. Wocjan · 2009
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General optimality of the Heisenberg limit for quantum metrology
M. Zwierz, C. A. Pérez-Delgado, and P. Kok · 2010
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Robust calibration of a universal single-qubit gate set via robust phase estimation
S. Kimmel, G. H. Low, and T. J. Yoder · 2015
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Experimental demonstration of a cheap and accurate phase estimation
K. Rudinger, S. Kimmel, D. Lobser, and P. Maunz · 2017
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Experimental phase estimation enhanced by machine learning
A. Lumino, E. Polino, A. S. Rab, G. Milani, N. Spagnolo, N. Wiebe, and F. Sciarrino · 2018
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Achieving the Heisenberg limit in quantum metrology using quantum error correction
A tight query complexity lower bound for phase estimation under circuit depth constraint, 2021
Y. Tong · 2021
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Ground-state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices
Y. Dong, L. Lin, and Y. Tong · 2022
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Heisenberg-limited ground-state energy estimation for early fault-tolerant quantum computers
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Randomized quantum algorithm for statistical phase estimation
K. Wan, M. Berta, and E. T. Campbell · 2022
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G. Wang, D. Stilck-França, R. Zhang, S. Zhu, and P. D. Johnson · 2022
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S. Zhou, M. Zhang, J. Preskill, and L. Jiang · 2018
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Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments
T. E. O’Brien, B. Tarasinski, and B. M. Terhal · 2019
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Achieving Heisenberg scaling with maximally entangled states: An analytic upper bound for the attainable root-mean-square error
F. Belliardo and V. Giovannetti · 2020
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Near-optimal ground state preparation
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Evaluating energy differences on a quantum computer with robust phase estimation
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Even shorter quantum circuit for phase estimation on early fault-tolerant quantum computers with applications to ground-state energy estimation
Z. Ding and L. Lin
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Computing ground state properties with early fault-tolerant quantum computers
R. Zhang, G. Wang, and P. Johnson · 2022
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Simultaneous estimation of multiple eigenvalues with short-depth quantum circuit on early fault-tolerant quantum computers
Z. Ding and L. Lin · 2023
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Learning many-body hamiltonians with heisenberg-limited scaling
H.-Y. Huang, Y. Tong, D. Fang, and Y. Su · 2023
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On low-depth quantum algorithms for robust multiple-phase estimation
H. Li, H. Ni, and L. Ying · 2023
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