Fetching the paper…
Reading the bibliography…
Multiple linear regression assumes an imperative role in supervised machine learning.
Childs, A.M., Kothari, R., Somma, R.D.: ‘Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision’ SIAM J. Comput., 2017, 46, (6), pp. 1920–1950
1950
Earlier work this paper cites.
Hestenes, M.R., Stiefel, E.: ‘Methods of conjugate gradients for solving linear systems’ J. Res. Natl. Bur. Stand., 1952, 49, (6), pp. 409–436
1952
Earlier work this paper cites.
Suzuki, M.: ‘Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations’ Phys. Lett. A, 1990, 146, (6), pp. 319–323
1990
Earlier work this paper cites.
Lloyd, S.: ‘Universal Quantum Simulators’ Science, 1996, 273, (5278), pp. 1073–1078
1996
Earlier work this paper cites.
Kitaev, A.Y., Yu Kitaev, A.: ‘Quantum computations: algorithms and error correction’ (1997), 52, pp. 1191–1249
1997
Earlier work this paper cites.
Hallgren, S., Hales, L.: ‘Proceedings 41st Annual Symposium on Foundations of Computer Science’, in ‘Proceedings 41st Annual Symposium on Foundations of Computer Science’ (2000), pp. 515–525
2000
Earlier work this paper cites.
Hastie, T., Friedman, J., Tibshirani, R.: ‘The Elements of Statistical Learning’ (Springer Series in Statistics, New York, USA, 2001)
2001
Earlier work this paper cites.
Jones, E., Oliphant, T., Peterson, P.: ‘Scipy: Open source scientific tools for Python’ (2001)
2001
Earlier work this paper cites.
Aharonov, D., Ta-Shma, A.: ‘Adiabatic quantum state generation and statistical zero knowledge’, in ‘STOC ’03: Proceedings of the thirty-fifth annual ACM symposium on Theory of Computing’ (2003), pp. 20–29
2003
Earlier work this paper cites.
Moler, C., Van Loan, C.: ‘Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later’ (2003), 45, pp. 3–49
2003
Earlier work this paper cites.
Marsaglia, G.: ‘Xorshift RNGs’ J. Stat. Softw., 2003, 8, (14)
2003
Earlier work this paper cites.
Higham, N.J.: ‘The Scaling and Squaring Method for the Matrix Exponential Revisited’ SIAM J. Matrix Anal. Appl., 2005, 26, (4), pp. 1179–1193
2005
Earlier work this paper cites.
Nocedal, J., Wright, S.J.: ‘Numerical optimization 2nd edn’ Research and Financial Engineering Springer, 2006
2006
Earlier work this paper cites.
Nielsen, M.A.: ‘Cluster-state quantum computation’ Rep. Math. Phys., 2006, 57, (1), pp. 147–161
2006
Earlier work this paper cites.
Harrow, A.W., Hassidim, A., Lloyd, S.: ‘Quantum Algorithm for Linear Systems of Equations’ Phys. Rev. Lett., 2009, 103, (15)
2009
Cited alongside, same era.
Nielsen, M.A., Chuang, I.L.: ‘Quantum Computation and Quantum Information: 10th Anniversary Edition’ (Cambridge University Press, 2010)
2010
Cited alongside, same era.
Ambainis, A.: ‘Variable time amplitude amplification and a faster quantum algorithm for solving systems of linear equations’ arXiv 1010.4458 [quant-ph], 2010
2010
Cited alongside, same era.
Al-Mohy, A.H., Higham, N.J.: ‘A New Scaling and Squaring Algorithm for the Matrix Exponential’ (2010), 31, pp. 970–989
2010
Cited alongside, same era.
Bühlmann, P., van de Geer, S.: ‘Statistics for High-Dimensional Data: Methods, Theory and Applications’ (Springer Science & Business Media, 2011)
2011
Cited alongside, same era.
Pan, J., Cao, Y., Yao, X., et al.: ‘Experimental realization of quantum algorithm for solving linear systems of equations’ Phys. Rev. A, 2014, 89, (2)
2014
Later among the works it cites.
Aaronson, S.: ‘Read the fine print’ Nat. Phys., 2015, 11, (4), pp. 291–293
2015
Later among the works it cites.
Marsland, S.: ‘Machine Learning: An Algorithmic Perspective, Second Edition’ (CRC Press, 2015)
2015
Later among the works it cites.
Somma, R.D.: ‘A Trotter-Suzuki approximation for Lie groups with applications to Hamiltonian simulation’ J. Math. Phys., 2016, 57, (6), p. 062202
2016
Later among the works it cites.
Kandala, A., Mezzacapo, A., Temme, K., et al.: ‘Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets’ Nature, 2017, 549, (7671), pp. 242–246
2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Daskin, A., Kais, S.: ‘Group leaders optimization algorithm’ Mol. Phys., 2011, 109, (5), pp. 761–772
2011
Cited alongside, same era.
Daskin, A., Kais, S.: ‘Decomposition of unitary matrices for finding quantum circuits: application to molecular Hamiltonians’ J. Chem. Phys., 2011, 134, (14), p. 144112
2011
Cited alongside, same era.
Al-Mohy, A.H., Higham, N.J.: ‘Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators’ SIAM J. Sci. Comput., 2011, 33, (2), pp. 488–511
2011
Cited alongside, same era.
Cao, Y., Daskin, A., Frankel, S., Kais, S.: ‘Quantum circuit design for solving linear systems of equations’ Mol. Phys., 2012, 110, (15-16), pp. 1675–1680
2012
Cited alongside, same era.
Niesen, J., Wright, W.M.: ‘Algorithm 919’ ACM Trans. Math. Softw., 2012, 38, (3), pp. 1–19
2012
Cited alongside, same era.
Raeisi, S., Wiebe, N., Sanders, B.C.: ‘Quantum-circuit design for efficient simulations of many-body quantum dynamics’ New J. Phys., 2012, 14, (10), p. 103017
2012
Cited alongside, same era.
Farhi, E., Goldstone, J., Gutmann, S.: ‘A Quantum Approximate Optimization Algorithm’ arXiv 1411.4028 [quant-ph], 2014
2014
Cited alongside, same era.
Maji, R., Behera, B.K., Panigrahi, P.K.: ‘Solving Linear Systems of Equations by Using the Concept of Grover’s Search Algorithm: An IBM Quantum Experience’ arXiv 1801.00778 [quant-ph], 2017
2017
Later among the works it cites.
Biamonte, J., Wittek, P., Pancotti, N., Rebentrost, P., Wiebe, N., Lloyd, S.: ‘Quantum machine learning’ Nature, 2017, 549, (7671), pp. 195–202
2017
Later among the works it cites.
Srinivasan, K., Satyajit, S., Behera, B.K., Panigrahi, P.K.: ‘Efficient quantum algorithm for solving travelling salesman problem: An IBM quantum experience’ arXiv 1805.10928 [quant-ph], 2018
2018
Closest in time.
Dash, A., Sarmah, D., Behera, B.K., Panigrahi, P.K.: ‘Exact search algorithm to factorize large biprimes and a triprime on IBM quantum computer’ arXiv 1805.10478 [quant-ph], 2018
2018
Closest in time.
Dervovic, D., Herbster, M., Mountney, P., Severini, S., Usher, N., Wossnig, L.: ‘Quantum linear systems algorithms: a primer’ arXiv 1802.08227 [quant-ph], 2018
2018
Closest in time.
Suau, A.: ‘Working 4x4 HHL implementation’ Zenodo, 2018. (https://doi.org/10.5281/zenodo.1480660)
2018
Closest in time.
Wossnig, L., Zhao, Z., Prakash, A.: ‘Quantum Linear System Algorithm for Dense Matrices’ Phys. Rev. Lett., 2018, 120, (5), p. 050502
2018
Closest in time.
The MathWorks Inc.: ‘Matlab Mathematics R2018b’ (2018)
2018
Closest in time.