Fetching the paper…
Reading the bibliography…
Quantum phase estimation is a cornerstone in quantum algorithm design, allowing for the inference of eigenvalues of exponentially-large sparse matrices.The maximum rate at which these eigenvalues may be learned, --known as the Heisenberg limit--, is constrained by bounds on the circuit complexity required to simulate an arbitrary Hamiltonian.
Information and the accuracy attainable in the estimation of statistical parameters
Calyampudi Radakrishna Rao · 1945
Earlier work this paper cites.
Single-tone parameter estimation from discrete-time observations
David C. Rife and Robert R. Boorstyn · 1974
Earlier work this paper cites.
Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
Yingbo Hua and Tapan Sarkar · 1990
Earlier work this paper cites.
Quantum measurements and the Abelian stabilizer problem
A. Yu. Kitaev · 1995
Earlier work this paper cites.
Semiclassical Fourier transform for quantum computation
Robert B. Griffiths and Chi-Sheng Niu · 1996
Earlier work this paper cites.
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Peter W. Shor · 1997
Earlier work this paper cites.
Quantum algorithms revisited
R. Cleve, A. Ekert, C. Macchiavello, and M. Mosca · 1998
Earlier work this paper cites.
Quantum Computation and Quantum Information
M.A. Nielsen and I.L. Chuang · 2000
Earlier work this paper cites.
Spectral density estimation with the Gaussian integral transform
Alessandro Roggero · 2004
Earlier work this paper cites.
A subexponential time algorithm for the dihedral hidden subgroup problem with polynomial space
O. Regev · 2004
Earlier work this paper cites.
Several natural BQP-complete problems
Pawel Wocjan and Shengyu Zhang · 2006
Earlier work this paper cites.
Quantum metrology
Vittorio Giovannetti, Seth Lloyd, and Lorenzo Maccone · 2006
Cited alongside, same era.
Optimal quantum circuits for general phase estimation
Wim van Dam, G. Mauro D’Ariano, Artur Ekert, Chiara Macchiavello, and Michele Mosca · 2007
Cited alongside, same era.
Efficient quantum algorithms for simulating sparse Hamiltonians
Dominic W. Berry, Graeme Ahokas, Richard Cleve, and Barry C. Sanders · 2007
Cited alongside, same era.
Efficient Bayesian phase estimation using mixed priors
Ewout van den Berg · 2007
Cited alongside, same era.
Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements
B. L. Higgins, D. W. Berry, S. D. Bartlett, M. W. Mitchell, H. M. Wiseman, and G. J. Pryde · 2009
Cited alongside, same era.
Robust calibration of a universal single-qubit gate-set via robust phase estimation
Shelby Kimmel, Guang Hao Low, and Theodore J. Yoder · 2015
Later among the works it cites.
Mathematical Methods of Statistics
Harald Cramér · 2015
Later among the works it cites.
Super-resolution, extremal functions and the condition number of Vandermonde matrices
Ankur Moitra · 2015
Later among the works it cites.
Efficient Bayesian phase estimation
Nathan Wiebe and Chris Granade · 2016
Later among the works it cites.
Quantum eigenvalue estimation via time series analysis
Rolando D. Somma · 2019
Later among the works it cites.
Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Aram W. Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
Cited alongside, same era.
How to perform the most accurate possible phase measurements
Dominic W Berry, Brendon L Higgins, Stephen D Bartlett, Morgan W Mitchell, Geoff J Pryde, and Howard M Wiseman · 2009
Cited alongside, same era.
Error mitigation via verified phase estimation
T.E. O’Brien, S. Polla, N.C. Rubin, W.J. Huggins, S. McArdle, S. Boixo, J.R. McClean, and R. Babbush · 2010
Cited alongside, same era.
Heisenberg-limited bayesian multiphase estimation algorithm
Valentin Gebhart, Augusto Smerzi, and Luca Pezzè · 2010
Cited alongside, same era.
Simulation of electronic structure Hamiltonians using quantum computers
James D. Whitfield, Jacob Biamonte, and Alán Aspuru-Guzik · 2011
Cited alongside, same era.
Krysta M. Svore, Matthew B. Hastings, and Michael Freedman · 2013
Cited alongside, same era.
Thomas E O’Brien, Brian Tarasinski, and Barbara M Terhal · 2019
Later among the works it cites.
Quantum singular value transformation and beyond: Exponential improvements for quantum matrix arithmetics
András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2019
Later among the works it cites.
Algorithms for quantum simulation at finite energies
Sirui Lu, Mari Carmen Bañuls, and J. Ignacio Cirac · 2020
Later among the works it cites.
Near-optimal ground state preparation
Lin Lin and Yu Tong · 2020
Later among the works it cites.
Heisenberg-limited ground state energy estimation for early fault-tolerant quantum computers
Lin Lin and Yu Tong · 2021
Closest in time.
Theory of trotter error with commutator scaling
Andrew M. Childs, Yuan Su, Minh C. Tran, Nathan Wiebe, and Shuchen Zhu · 2021
Closest in time.