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We provide a detailed estimate for the logical resource requirements of the quantum linear system algorithm (QLSA) [Phys.
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An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
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Quantum Computing and Quantum Information
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Embedded Languages for Describing and Verifying Hardware
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The Finite Element Method in Electromagnetics
J.-M. Jin · 2002
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Iterative methods for sparse linear systems
Y. Saad · 2003
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Exponential algorithmic speedup by a quantum walk
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A logarithmic-depth quantum carry-lookahead adder
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Efficient quantum algorithms for simulating sparse Hamiltonians
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Quantum Computer Science: An Introduction
N. D. Mermin · 2007
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Efficient Clifford+ T {T} approximation of single-qubit operators
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Quantum Algorithm Zoo, April 2013
Stephen Jordan · 2013
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Preconditioned Quantum Linear System Algorithm
B. D. Clader, B. C. Jacobs, and C. R. Sprouse · 2013
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Quantum algorithms for supervised and unsupervised machine learning
S. Lloyd, M. Mohseni, and P. Rebentrost · 2013
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Experimental Quantum Computing to solve Systems of Linear Equations
X.-D. Cai, C. Weedbrook, Z.-E. Su, M.-C. Chen, M.-J. Zhu M. Gu, L. Li, N.-L. Liu, C.-Y. Lu, and J.-W. Pan · 2013
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URL http://www.mathstat.dal.ca/~selinger/quipper/
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Representation of quantum circuits with Clifford and π / 8 \pi/8 gates
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The Quantum IO Monad
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URL http://www.mathstat.dal.ca/~selinger/quipper/doc/
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Exponential improvement in precision for Hamiltonian-evolution simulation
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Optimization of the Solovay-Kitaev algorithm
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Efficient decomposition of single-qubit gates into V {V} basis circuits
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High-order quantum algorithm for solving linear differential equations
D. W. Berry · 2014
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Solving systems of linear equations on a quantum computer
S. Barz, I. Kassal, M. Ringbauer, Y.O. Lipp, B. Dakic, A. Aspuru-Guzik, and P. Walther · 2014
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Exponential improvement in precision for simulating sparse Hamiltonians
D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma · 2014
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Optimal ancilla-free Clifford+ T {T} approximation of Z {Z} -rotations
P. Selinger · 2014
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Hamiltonian simulation with nearly optimal dependence on all parameters
D. W. Berry, A. M. Childs, and R. Kothari · 2015
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