184 citations · 934 across the 51 of their papers we have counts for
5 papers · 2 filters
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…
Orbital-free density functional theory with first-quantized quantum subroutines
Yusuke Nishiya, Hirofumi Nishi, Taichi Kosugi +1
In this study, we propose a quantum-classical hybrid scheme for performing orbital-free density functional theory (OFDFT) using probabilistic imaginary-time evolution (PITE), desig…
Encoded probabilistic imaginary-time evolution on a trapped-ion quantum computer for ground and excited states of spin qubits
Hirofumi Nishi, Yuki Takei, Taichi Kosugi +4
In this study, we employed a quantum computer to solve a low-energy effective Hamiltonian for spin defects in diamond (so-called NV centre) and wurtzite-type aluminium nitride, whi…
Qubit encoding for a mixture of localized functions
Taichi Kosugi, Shunsuke Daimon, Hirofumi Nishi +2
One of the crucial generic techniques for quantum computation is amplitude encoding. Although several approaches have been proposed, each of them often requires exponential classic…