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Yue Yu

Xiangtan University

SCHOLARLY PAPERS

8

DOWNLOADS

329

TOTAL CITATIONS

4

Scholarly Papers (8)

1.

Time Complexity Analysis of Quantum Difference Methods for Linear High Dimensional and Multiscale Partial Differential Equations

Number of pages: 40 Posted: 22 Mar 2022
Shi Jin, Nana Liu and Yue Yu
affiliation not provided to SSRN, affiliation not provided to SSRN and Xiangtan University
Downloads 55 (1,010,164)

Abstract:

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Quantum difference methods, Quantum linear algorithms, HHL algorithm, Time complexity, Asymptotic-Preserving schemes

2.

Quantum Circuits for the Heat Equation with Physical Boundary Conditions Via Schrödingerisation

Number of pages: 45 Posted: 02 Aug 2024
Shi Jin, Nana Liu and Yue Yu
affiliation not provided to SSRN, affiliation not provided to SSRN and Xiangtan University
Downloads 50 (1,074,648)

Abstract:

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Schödingerisation, Quantum circuits, Physical boundary conditions, Linear combination of unitaries, Autonomous system, Shift operators

3.

Quantum Preconditioning Method for Linear System Problems Via Schr\"Odingerization

Number of pages: 29 Posted: 17 Jul 2025
Shi Jin, Nana Liu, Chuwen Ma and Yue Yu
affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN and Xiangtan University
Downloads 47 (1,097,529)
Citation 2

Abstract:

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Linear algebra problems, Schr\"odingerization, BPX preconditioner, Quantum algorithms

4.

Quantum Simulation for Partial Differential Equations with Physical Boundary or Interface Conditions

Number of pages: 25 Posted: 29 May 2023
Shi Jin, Xiantao Li, Nana Liu and Yue Yu
affiliation not provided to SSRN, Pennsylvania State University, affiliation not provided to SSRN and Xiangtan University
Downloads 44 (1,133,231)
Citation 2

Abstract:

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Schrödingerisation, Quantum simulation, Physical boundary conditions, Interface problems, Geometric optics problems

5.

Time Complexity Analysis of Quantum Algorithms Via Linear Representations For  Nonlinear Ordinary and Partial Differential Equations

Number of pages: 60 Posted: 03 Oct 2022
Shi Jin, Nana Liu and Yue Yu
affiliation not provided to SSRN, affiliation not provided to SSRN and Xiangtan University
Downloads 43 (1,145,425)

Abstract:

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Linear representation methods, Liouville representation, Koopman-von Neumann representation, Semiclassical Schrodinger equation, Quantum linear systems algorithms, Quantum simulation

6.
Downloads 36 (1,236,159)

Abstract:

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Virtual element method, Linear elasticity, Locking-free, Reduced integration technique, discrete Korn's inequality

7.

Schro¨dingerization based quantum algorithms for the time-fractional heat equation

Number of pages: 31 Posted: 24 Sep 2025
Shi Jin, Nana Liu and Yue Yu
affiliation not provided to SSRN, affiliation not provided to SSRN and Xiangtan University
Downloads 31 (1,332,057)

Abstract:

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fractional heat equation, gradient flow, quantum simulation, Schr¨odingerization

8.

Time-marching representation based quantum algorithms for the Lattice Boltzmann model of the advection-diffusion equation

Number of pages: 31 Posted: 23 Feb 2026
Yuan He, Yuan YU and Yue Yu
Xiangtan University, Xiangtan University and Xiangtan University
Downloads 23 (1,411,822)

Abstract:

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Quantum algorithm, Lattice Boltzmann Method, Quantum fluid dynamics, Block-encoding, Time-marching scheme, Quantum linear systems algorithm