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Quantum state preparation involving a uniform superposition over a non-empty subset of $n$-qubit computational basis states is an important and challenging step in many quantum computation algorithms and applications.
Rapid solution of problems by quantum computation
David Deutsch and Richard Jozsa · 1992
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Quantum complexity theory
Ethan Bernstein and Umesh Vazirani · 1993
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Quantum mechanics helps in searching for a needle in a haystack
Lov K Grover · 1997
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On the power of quantum computation
Daniel R Simon · 1997
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Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Peter W Shor · 1999
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Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac Chuang · 2000
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Quantum amplitude amplification and estimation, 2002
Gilles Brassard, Peter Høyer, Michele Mosca, and Alain Tapp · 2002
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Fast quantum Byzantine agreement
Michael Ben-Or and Avinatan Hassidim · 2005
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Quantum algorithm for data fitting
Nathan Wiebe, Daniel Braun, and Seth Lloyd · 2012
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Quantum machine learning: what quantum computing means to data mining
Peter Wittek · 2014
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Simulating Hamiltonian dynamics with a truncated Taylor series
Dominic W Berry, Andrew M Childs, Richard Cleve, Robin Kothari, and Rolando D Somma · 2015
Cited alongside, same era.
Optimal Hamiltonian simulation by quantum signal processing
Guang Hao Low and Isaac L Chuang · 2017
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Quantum algorithm for systems of linear equations with exponentially improved dependence on precision
Andrew M Childs, Robin Kothari, and Rolando D Somma · 2017
Cited alongside, same era.
Simulating the dynamics of time-dependent Hamiltonians with a truncated Dyson series
Mária Kieferová, Artur Scherer, and Dominic W Berry · 2019
Quantum spectral methods for differential equations
Andrew M Childs and Jin-Peng Liu · 2020
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An efficient algorithm for sparse quantum state preparation
Niels Gleinig and Torsten Hoefler · 2021
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Efficient Boolean methods for preparing uniform quantum states
Fereshte Mozafari, Heinz Riener, Mathias Soeken, and Giovanni De Micheli · 2021
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A hybrid classical-quantum algorithm for digital image processing
Alok Shukla and Prakash Vedula · 2022
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A hybrid classical-quantum algorithm for solution of nonlinear ordinary differential equations
Alok Shukla and Prakash Vedula · 2023
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A generalization of Bernstein–Vazirani algorithm with multiple secret keys and a probabilistic oracle
Alok Shukla and Prakash Vedula · 2023
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Cited alongside, same era.
Trajectory optimization using quantum computing
Alok Shukla and Prakash Vedula · 2019
Cited alongside, same era.
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Qiskit: An open-source framework for quantum computing, 2023
Qiskit contributors · 2023
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