5 papers
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…