Quantum relaxed row and column iteration methods based on block-encoding
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Ming Li | S. Fei | Shuqian Shen | Jing Wang | Xiao-qi Liu | Weiguo Li | Weiguo Li
[1] Hua Xiang,et al. An Extended Row and Column Method for Solving Linear Systems on a Quantum Computer , 2021, International Journal of Theoretical Physics.
[2] Kui Du,et al. A doubly stochastic block Gauss-Seidel algorithm for solving linear equations , 2019, Appl. Math. Comput..
[3] Hua Xiang,et al. Row and column iteration methods to solve linear systems on a quantum computer , 2019, Physical Review A.
[4] Iordanis Kerenidis,et al. A Quantum Interior Point Method for LPs and SDPs , 2018, ACM Transactions on Quantum Computing.
[5] Rupak Biswas,et al. Quantum Machine Learning , 2018 .
[6] John Preskill,et al. Quantum Computing in the NISQ era and beyond , 2018, Quantum.
[7] L. Wossnig,et al. Quantum Linear System Algorithm for Dense Matrices. , 2017, Physical review letters.
[8] S. Lloyd,et al. Quantum gradient descent and Newton’s method for constrained polynomial optimization , 2016, New Journal of Physics.
[9] Robert Gardner,et al. Quantum generalisation of feedforward neural networks , 2016, npj Quantum Information.
[10] S. Lloyd,et al. Quantum machine learning , 2016, Nature.
[11] P. Hansen,et al. Convergence analysis for column-action methods in image reconstruction , 2016, Numerical Algorithms.
[12] Andrew M. Childs,et al. Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision , 2015, SIAM J. Comput..
[13] Alán Aspuru-Guzik,et al. A variational eigenvalue solver on a photonic quantum processor , 2013, Nature Communications.
[14] A. Harrow,et al. Quantum algorithm for linear systems of equations. , 2008, Physical review letters.
[15] Adrian S. Lewis,et al. Randomized Methods for Linear Constraints: Convergence Rates and Conditioning , 2008, Math. Oper. Res..
[16] S. Lloyd,et al. Quantum random access memory. , 2007, Physical review letters.
[17] Lov K. Grover,et al. Creating superpositions that correspond to efficiently integrable probability distributions , 2002, quant-ph/0208112.
[18] Lov K. Grover. Quantum Mechanics Helps in Searching for a Needle in a Haystack , 1997, quant-ph/9706033.
[19] Peter W. Shor,et al. Algorithms for quantum computation: discrete logarithms and factoring , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.
[20] A. Lent,et al. Iterative algorithms for large partitioned linear systems, with applications to image reconstruction , 1981 .
[21] G. Herman,et al. Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography. , 1970, Journal of theoretical biology.
[22] T. Whitney,et al. Two Algorithms Related to the Method of Steepest Descent , 1967 .
[23] W. Marsden. I and J , 2012 .