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Quantum algorithms for numerical differentiation of expected values with respect to parameters

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Publication:2107044
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DOI10.1007/s11128-022-03453-5OpenAlexW4220752627WikidataQ112879576 ScholiaQ112879576MaRDI QIDQ2107044

Koichi Miyamoto

Publication date: 29 November 2022

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

Full work available at URL: https://arxiv.org/abs/2111.11016


zbMATH Keywords

numerical differentiationsensitivity calculationfinancial derivative pricingquantum amplitude estimationquantum Monte Carlo integration


Mathematics Subject Classification ID

Quantum computation (81P68)




Cites Work

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  • General explicit difference formulas for numerical differentiation
  • Amplitude estimation without phase estimation
  • Amplitude estimation via maximum likelihood on noisy quantum computer
  • Mapping of Subtractor and Adder-Subtractor Circuits on Reversible Quantum Gates
  • A Remark on Stirling's Formula
  • Credit Risk Analysis Using Quantum Computers
  • Quantum Circuit Design of a T-count Optimized Integer Multiplier
  • Optimizing quantum optimization algorithms via faster quantum gradient computation
  • Quantum speedup of Monte Carlo methods
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