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Quantum algorithms for scientific computing require modules implementing fundamental functions, such as the square root, the logarithm, and others.
Iterative methods for the solution of equations
J. F. Traub · 1982
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Time/space trade-offs for reversible computation
C. H. Bennett · 1989
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A note on Bennett’s time-space tradeoff for reversible computation
R. Y. Levine and A. T. Sherman · 1990
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Efficient networks for quantum factoring
D. Beckman, A. N. Chari, S. Devabhaktuni, and J. Preskill · 1996
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Quantum networks for elementary arithmetic operations
V. Vedral, A. Barenco, and A. Ekert · 1996
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Reversible arithmetic coding for quantum data compression
I. Chuang and D. S. Modha · 2000
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Addition on a quantum computer
T. G. Draper · 2000
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Quantum Computation and Quantum Information
M. Nielsen and I. Chuang · 2000
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A new quantum ripple-carry addition circuit
S. A. Cuccaro, T. G. Draper, S. A. Kutin, and D. P. Moulton · 2004
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A linear-size quantum circuit for addition with no ancillary qubits
Y. Takahashi and N. Kunihiro · 2005
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Fast quantum modular exponentiation
R. Van Meter and K. M. Itoh · 2005
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A logarithmic-depth quantum carry-lookahead adder
T. G. Draper, S. A. Kutin, E. M. Rains, and K. M. Svore · 2006
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Reversible Karatsuba’s algorithm
R. Portugal and C. M. H. Figueiredo · 2006
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IEEE Std 754-2008
IEEE standard for Floating-Point Arithmetic · 2008
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A quantum architecture for multiplying signed integers
J. J. Alvarez-Sanchez, J. V. Alvarez-Bravo, and L. M. Nieto · 2008
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Fixed-point arithmetic
Quantum addition circuits and unbounded fan-out
Y. Takahashi, S. Tani, and N. Kunihiro · 2010
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Quantum computing: A gentle introduction
E. G. Rieffel and W. H. Polak · 2011
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Quantum algorithm and circuit design solving the Poisson equation
Y. Cao, A. Papageorgiou, I. Petras, J. F. Traub, and S. Kais · 2013
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Synthesis and optimization of reversible circuits - a survey
M. Saeedi and I. L. Markov · 2013
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Inverting well conditioned matrices in quantum logspace
A. Ta-Shma · 2013
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Quantum algorithms for continuous problems and their applications
A. Papageorgiou and J. F. Traub · 2014
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E. Bocchieri · 2008
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A fast quantum circuit for addition with few qubits
Y. Takahashi and N. Kunihiro · 2008
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Quantum algorithm for linear systems of equations
A. W. Harrow, A. Hassidim, and S. Lloyd · 2009
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N. Wiebe and M. Roetteler · 2014
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Quantum circuits for 𝔽 2 n \mathbb{F}_{2^{n}} -multiplication with subquadratic gate count
S. Kepley and R. Steinwandt · 2015
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Reversible circuit compilation with space constraints
A. Parent, M. Roetteler, and K. M. Svore · 2015
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