9 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 is a promising technology for accelerating partial differential equation solvers applied to large-scale real-world problems. However, reconstructing a classical r…
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…