37 citations · 76 across the 6 of their papers we have counts for
10 papers · 1 filter
Benchmarking adiabatic transformation by alternating unitaries
Takuya Hatomura
Adiabatic transformation can be approximated as alternating unitary operators of a Hamiltonian and its parameter derivative as proposed in a gate-based approach to counterdiabatic…
Energy-saving fast-forward scaling
Takuya Hatomura
We propose energy-saving fast-forward scaling. Fast-forward scaling is a method which enables us to speed up (or slow down) given dynamics in a certain measurement basis. We introd…
Shortcuts to adiabaticity: theoretical framework, relations between different methods, and versatile approximations
Takuya Hatomura
Shortcuts to adiabaticity guide given systems to final destinations of adiabatic control via fast tracks. Various methods were proposed as varieties of shortcuts to adiabaticity. B…
The first-order Trotter decomposition in the dynamical-invariant basis
Takuya Hatomura
The Trotter decomposition is a basic approach to Hamiltonian simulation (digital quantum simulation). The first-order Trotter decomposition is the simplest one, whose deviations fr…
Scaling of errors in digitized counterdiabatic driving
Takuya Hatomura
We study errors caused by digitization of shortcuts to adiabaticity by counterdiabatic driving. We find possibility of error scaling with the number of time s…
Controlling and exploring quantum systems by algebraic expression of adiabatic gauge potential
Takuya Hatomura, Kazutaka Takahashi
Adiabatic gauge potential is the origin of nonadiabatic transitions. In counterdiabatic driving, which is a method of shortcuts to adiabaticity, adiabatic gauge potential can be us…