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We present a quantum eigenstate filtering algorithm based on quantum signal processing (QSP) and minimax polynomials.
Sur la détermination des polynômes d’approximation de degré donnée
E. Y. Remez · 1934
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Some remarks on polynomials
P. Erdös · 1947
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The Zeno’s paradox in quantum theory
B. Misra and E. G. Sudarshan · 1977
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Quantum measurements and the abelian stabilizer problem
A. Y. Kitaev · 1995
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A fast quantum mechanical algorithm for database search
L. K. Grover · 1996
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Universal quantum simulators
S. Lloyd · 1996
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Berry phase from a quantum Zeno effect
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Quantum anti-Zeno paradox
A. Balachandran and S. Roy · 2000
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Quantum computation by adiabatic evolution
E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser · 2000
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Quantum amplitude amplification and estimation
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Quantum search by measurement
A. M. Childs, E. Deotto, E. Farhi, J. Goldstone, S. Gutmann, and A. J. Landahl · 2002
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Adiabatic quantum state generation and statistical zero knowledge
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Iterative methods for sparse linear systems , volume 82
Y. Saad · 2003
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Quantum speed-up of Markov chain based algorithms
M. Szegedy · 2004
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Fixed-point quantum search
L. K. Grover · 2005
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Bounds for the adiabatic approximation with applications to quantum computation
S. Jansen, M.-B. Ruskai, and R. Seiler · 2007
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Quantum Zeno dynamics: mathematical and physical aspects
P. Facchi and S. Pascazio · 2008
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Quantum simulations of classical annealing processes
R. D. Somma, S. Boixo, H. Barnum, and E. Knill · 2008
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Speedup via quantum sampling
P. Wocjan and A. Abeyesinghe · 2008
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Eigenpath traversal by phase randomization
S. Boixo, E. Knill, and R. D. Somma · 2009
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Quantum algorithm for linear systems of equations
A. W. Harrow, A. Hassidim, and S. Lloyd · 2009
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A. Ambainis · 2010
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Variable time amplitude amplification and quantum algorithms for linear algebra problems
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A note on the switching adiabatic theorem
A. Elgart and G. A. Hagedorn · 2012
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Non-abelian phases from quantum Zeno dynamics
D. Burgarth, P. Facchi, V. Giovannetti, H. Nakazato, S. Pascazio, and K. Yuasa · 2013
Quantum-inspired classical algorithms for principal component analysis and supervised clustering
E. Tang · 2018
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Quantum linear system algorithm for dense matrices
L. Wossnig, Z. Zhao, and A. Prakash · 2018
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