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State-of-the-art noisy intermediate-scale quantum devices (NISQ), although imperfect, enable computational tasks that are manifestly beyond the capabilities of modern classical supercomputers.
Algorithms for quantum computation: discrete logarithms and factoring
Shor, P · 1994
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Fast sparse matrix multiplication
Yuster, R. & Zwick, U · 2004
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Efficient quantum algorithms for simulating sparse hamiltonians
Berry, D. W., Ahokas, G., Cleve, R. & Sanders, B. C · 2006
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Numerical Treatment of Partial Differential Equations (Springer Berlin Heidelberg, 2007)
Grossmann, C., Roos, H.-G. & Stynes, M · 2007
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Arbitrary accuracy iterative quantum phase estimation algorithm using a single ancillary qubit: A two-qubit benchmark
Dobšíček, M., Johansson, G., Shumeiko, V. & Wendin, G · 2007
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A randomized kaczmarz algorithm with exponential convergence
Strohmer, T. & Vershynin, R · 2008
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Functions of matrices: theory and computation (Society for Industrial and Applied Mathematics, 2008)
Higham, N. J · 2008
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Quantum algorithm for linear systems of equations
Harrow, A. W., Hassidim, A. & Lloyd, S · 2009
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Statistical Models: Theory and Practice (Cambridge University Press, 2009), 2 edn
Freedman, D. A · 2009
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Simulating quantum computation by contracting tensor networks
Markov, I. L. & Shi, Y · 2009
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Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, 2011)
Nielsen, M. A. & Chuang, I · 2011
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Iterative methods for computing eigenvalues and eigenvectors
Panju, M · 2011
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Quantum computing and the entanglement frontier
Preskill, J · 2012
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Black-box hamiltonian simulation and unitary implementation (2012)
Berry, D. W. & Childs, A. M · 2012
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Improved inverse scaling and squaring algorithms for the matrix logarithm
Al-Mohy, A. & Higham, N · 2012
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Computing a logarithm of a unitary matrix with general spectrum
Loring, T. A · 2014
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Quantum supremacy using a programmable superconducting processor
Arute, F · 2019
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Hybrid quantum linear equation algorithm and its experimental test on IBM quantum experience
Yonghae Lee, J. J. & Lee, S · 2019
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Validating quantum computers using randomized model circuits
Cross, A. W., Bishop, L. S., Sheldon, S., Nation, P. D. & Gambetta, J. M · 2019
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Non-Markovian memory in IBMQX4 (2019)
Morris, J., Pollock, F. A. & Modi, K · 2019
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Quantum algorithms for systems of linear equations inspired by adiabatic quantum computing
Subaşı, Y., Somma, R. D. & Orsucci, D · 2019
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Experimental realization of quantum algorithms for a linear system inspired by adiabatic quantum computing
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Hamiltonian simulation with nearly optimal dependence on all parameters
Berry, D. W., Childs, A. M. & Kothari, R · 2015
Cited alongside, same era.
Quantum machine learning
Biamonte, J · 2017
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Quantum computing in the NISQ era and beyond
Preskill, J · 2018
Cited alongside, same era.
Deep neural networks as gaussian processes
Lee, J · 2018
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IBM Q Experience, https://quantum-computing.ibm.com
Cited in the paper.
Wen, J · 2019
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Variational quantum linear solver: A hybrid algorithm for linear systems (2019)
Bravo-Prieto, C · 2019
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Bayesian deep learning on a quantum computer
Zhao, Z., Pozas-Kerstjens, A., Rebentrost, P. & Wittek, P · 2019
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Qiskit: An open-source framework for quantum computing (2019)
Aleksandrowicz, G., Alexander, T., Barkoutsos, P. & · 2019
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What limits the simulation of quantum computers?
Zhou, Y., Stoudenmire, E. M. & Waintal, X · 2020
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