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Efficient quantum circuits for Toeplitz and Hankel matrices

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Publication:3186292

DOI10.1088/1751-8113/49/27/275301zbMATH Open1344.81062arXiv1605.07710OpenAlexW3106104955MaRDI QIDQ3186292

Author name not available (Why is that?)

Publication date: 9 August 2016

Published in: (Search for Journal in Brave)

Abstract: Toeplitz and Hankel matrices have been a subject of intense interest in a wide range of science and engineering related applications. In this paper, we show that quantum circuits can efficiently implement sparse or Fourier-sparse Toeplitz and Hankel matrices. This provides an essential ingredient for solving many physical problems with Toeplitz or Hankel symmetry in the quantum setting with deterministic queries.


Full work available at URL: https://arxiv.org/abs/1605.07710



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