24 citations · 53 across the 17 of their papers we have counts for
17 papers
An efficient quantum Hadamard product algorithm for functions
Xinchi Huang, Hirofumi Nishi, Tomofumi Zushi +1
We propose an efficient quantum algorithm for preparing the Hadamard product state of two quantum states whose amplitudes are generated by functions on a uniform grid with grid num…
Problem-Specific Basis Quantum State Readout via Proper Orthogonal Decomposition
Kota Ichiki, Xinchi Huang, Gekko Budiutama +7
Quantum computing offers a promising approach to accelerating partial differential equation (PDE) solvers for large-scale, real-world problems. However, reconstructing the classica…
Approximate Amplitude Encoding with the Adaptive Interpolating Quantum Transform
Gekko Budiutama, Shunsuke Daimon, Xinchi Huang +2
Amplitude encoding of real-world data on quantum computers is often the workflow bottleneck: direct amplitude encoding scales poorly with input size and can offset any speedups in…
Real and Fourier space readout methods: Comparison of complexity and applications to CFD problems
Xinchi Huang, Hirofumi Nishi, Yoshifumi Kawada +2
Quantum computing is a promising technology that accelerates the partial differential equations solver for practical problems. The reconstruction of solutions (i.e., the readout of…
Conditional Stability and Numerical Reconstruction of a Parabolic Inverse Source Problem Using Carleman Estimates
Tianhao Hu, Xinchi Huang, Bangti Jin +2
In this work we develop a new numerical approach for recovering a spatially dependent source component in a standard parabolic equation from partial interior measurements. We estab…
Fourier space readout method for efficiently recovering functions encoded in quantum states
Xinchi Huang, Hirofumi Nishi, Yoshifumi Kawada +2
Applying quantum computing in the computer-aided engineering (CAE) problems are highly expected since quantum computers yield potential exponential speedups for the operations betw…
Quantum State Readout via Overlap-Based Feature Extraction
Hirofumi Nishi, Taichi Kosugi, Xinchi Huang +3
In this study, a method for quantum state readout and feature extraction is developed using quantum-overlap-based fitting of function expansions. The approach involves the quantum…
Tensor decomposition technique for qubit encoding of maximal-fidelity Lorentzian orbitals in real-space quantum chemistry
Taichi Kosugi, Xinchi Huang, Hirofumi Nishi +1
To simulate the real- and imaginary-time evolution of a many-electron system on a quantum computer based on the first-quantized formalism, we need to encode molecular orbitals (MOs…
A probabilistic imaginary-time evolution quantum algorithm for advection-diffusion equation: Explicit gate-level implementation and comparisons to quantum linear system algorithms
Xinchi Huang, Hirofumi Nishi, Taichi Kosugi +2
Simulating differential equations on classical computers becomes an intractable problem if the grid size is extremely large. Quantum computers are believed to achieve a possibly ex…
Approximate real-time evolution operator for potential with one ancillary qubit and application to first-quantized Hamiltonian simulation
Xinchi Huang, Taichi Kosugi, Hirofumi Nishi +1
In this article, we compare the methods implementing the real-time evolution operator generated by a unitary diagonal matrix where its entries obey a known underlying real function…
Blow-up for time-fractional diffusion equations with superlinear convex semilinear terms
Xinchi Huang, Yikan Liu, Masahiro Yamamoto
This article is concerned with a semilinear time-fractional diffusion equation with a superlinear convex semilinear term in a bounded domain with the homogeneous Dirichlet, Neu…
Optimized synthesis of circuits for diagonal unitary matrices with reflection symmetry
Xinchi Huang, Taichi Kosugi, Hirofumi Nishi +1
During the noisy intermediate-scale quantum (NISQ) era, it is important to optimize the quantum circuits in circuit depth and gate count, especially entanglement gates, including t…
Long-time asymptotic estimate and a related inverse source problem for time-fractional wave equations
Xinchi Huang, Yikan Liu
Lying between traditional parabolic and hyperbolic equations, time-fractional wave equations of order in time inherit both decaying and oscillating properties. In this…
Initial-boundary value problems for coupled systems of time-fractional diffusion equations
Zhiyuan Li, Xinchi Huang, Yikan Liu
This article deals with the initial-boundary value problem for a moderately coupled system of time-fractional diffusion equations. Defining the mild solution, we establish fundamen…
Well-posedness of initial-boundary value problem for time-fractional diffusion-wave equation with time-dependent coefficients
Xinchi Huang, Masahiro Yamamoto
We consider the well-posedness of the initial-boundary value problem for a time-fractional partial differential equation with the fractional order lying in (1,2]. For the case of t…
Carleman estimates for a magnetohydrodynamics system and application to inverse source problems
Xinchi Huang, Masahiro Yamamoto
In this article, we consider a linearized magnetohydrodynamics system for incompressible flow in a three-dimensional bounded domain. We first prove two kinds of Carleman estimates.…
Carleman estimates for the time-fractional advection-diffusion equations and applications
Zhiyuan Li, Xinchi Huang, Masahiro Yamamoto
In this article, we prove Carleman estimates for the generalized time-fractional advection-diffusion equations by considering the fractional derivative as perturbation for the firs…