P000054
Quantum circuits for block encoding of structured matrices in ocean acoustics
Chunlin Yang (Harbin Engineering University)
*Hongmei Yao (Harbin Engineering University)
Guofeng Zhang (Department of Applied Mathematics, The Hong Kong Polytechnic University)
Zhaobing Fan (Harbin Engineering University)
Zexian Li (Department of Applied Mathematics, The Hong Kong Polytechnic University)
Jianshe Liu (College of Underwater Acoustic Engineering, Harbin Engineering University)
ince operator in quantum computer can only be unitary, an input model is needed to make nonunitary operator can be implemented on a quantum computer. Block encoding is the technique that embeds a matrix A satisfying ∥A∥ ≤ 1 into a larger unitary matrix UA. In this paper, we discuss how to construct quantum circuits of block encoding for structured matrices and give some block encoding schemes. Two examples in fluid dynamics is used to illustrate the feasibility of our block encoding schemes. The corresponding codes of the quantum circuits in MATLAB are also given.