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Quantum relaxed row and column iteration methods based on block-encoding

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Publication:2101221
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DOI10.1007/s11128-022-03569-8OpenAlexW4283360429MaRDI QIDQ2101221

Weiguo Li, Jing Wang, Ming Li, Shao-Ming Fei, Shu-Qian Shen, Xiao-Qi Liu

Publication date: 5 December 2022

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.13730


zbMATH Keywords

quantum algorithmsblock-encodingrelaxed Kaczmarz method


Mathematics Subject Classification ID

Quantum computation (81P68) Quantum algorithms and complexity in the theory of computing (68Q12)




Cites Work

  • Unnamed Item
  • Convergence analysis for column-action methods in image reconstruction
  • Iterative algorithms for large partitioned linear systems, with applications to image reconstruction
  • An extended row and column method for solving linear systems on a quantum computer
  • Quantum Random Access Memory
  • Randomized Methods for Linear Constraints: Convergence Rates and Conditioning
  • Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision
  • Two Algorithms Related to the Method of Steepest Descent


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