20 citations · 44 across the 9 of their papers we have counts for
Showing 2024 · quant-phShow all
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quant-ph2024★ 3 cited
Efficient explicit circuit for quantum state preparation of piecewise continuous functions
Nikita Guseynov, Nana Liu
Efficiently uploading data into quantum states is essential for many quantum algorithms to achieve advantage across various applications. In this paper, we address this challenge b…
quant-ph2024★ 14 cited
Efficient explicit gate construction of block-encoding for Hamiltonians needed for simulating partial differential equations
Nikita Guseynov, Xiajie Huang, Nana Liu
One of the most promising applications of quantum computers is solving partial differential equations (PDEs). By using the Schrodingerisation technique - which converts non-conserv…
quant-ph2024
Dynamical quantum Ansatz tree approach for the heat equation
N. M. Guseynov, W. V. Pogosov, A. V. Lebedev
Quantum computers can be used for the solution of various problems of mathematical physics. In the present paper, we consider a discretized version of the heat equation and address…