5 papers · 1 filter
Quantum signal processing in Hilbert space fragmented systems
Naoya Egawa, Kaoru Mizuta, Joji Nasu
Quantum signal processing (QSP), originally developed for composite pulse sequences in nuclear magnetic resonance systems, has recently attracted attention as a unified framework f…
On the commutator scaling in Hamiltonian simulation with multi-product formulas
Kaoru Mizuta
A multi-product formula (MPF) is a promising approach for Hamiltonian simulation efficiently both in the system size and the inverse allowable error by combinin…
Explicit error bounds with commutator scaling for time-dependent product and multi-product formulas
Kaoru Mizuta, Tatsuhiko N. Ikeda, Keisuke Fujii
Product formula (PF), which approximates the time evolution under a many-body Hamiltonian by the product of local time evolution operators, is one of the central approaches for sim…
Trotterization is substantially efficient for low-energy states
Kaoru Mizuta, Tomotaka Kuwahara
Trotterization is one of the central approaches for simulating quantum many-body dynamics on quantum computers or tensor networks. In addition to its simple implementation, recent…
Comment on "Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle"
Hitomi Mori, Kaoru Mizuta, Keisuke Fujii
Multivariable Quantum Signal Processing (M-QSP) [1] is expected to provide an efficient means to handle polynomial transformations of multiple variables simultaneously. However, we…