58 citations · 243 across the 19 of their papers we have counts for
19 papers
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…
Time rescaling of nonadiabatic transitions
Takuya Hatomura
Applying time-dependent driving is a basic way of quantum control. Driven systems show various dynamics as its time scale is changed due to the different amount of nonadiabatic tra…
State-dependent error bound for digital quantum simulation of driven systems
Takuya Hatomura
Digital quantum simulation is a promising application of quantum computers, where quantum dynamics is simulated by using quantum gate operations. Many techniques for decomposing a…
Performance evaluation of invariant-based inverse engineering by quantum speed limit
Takuya Hatomura
Quantum speed limits for two time-evolved states are introduced and applied to overlap between true dynamics and approximate dynamics. In particular, we point out that the present…
Quantum metrology based on symmetry-protected adiabatic transformation: Imperfection, finite time duration, and dephasing
Takuya Hatomura, Atsuki Yoshinaga, Yuichiro Matsuzaki +1
The aim of quantum metrology is to estimate target parameters as precisely as possible. In this paper, we consider quantum metrology based on symmetry-protected adiabatic transform…
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…
Bounds for nonadiabatic transitions
Takuya Hatomura, Go Kato
We discuss bounds for nonadiabatic transitions from the viewpoints of the adiabatic perturbation theory and the quantum speed limit. We show that the amount of nonadiabatic transit…
Iterative classical superadiabatic algorithm for combinatorial optimization
Takuya Hatomura
We consider a classical and superadiabatic version of an iterative quantum adiabatic algorithm to solve combinatorial optimization problems. This algorithm is deterministic because…
Suppressing nonadiabatic transitions during adiabatic generation of highly entangled states in bosonic Josephson junctions
Takuya Hatomura
We study suppression of nonadiabatic transitions during adiabatic generation of a cat-like state (a superposition of different size cat states) and a spin squeezed state in a boson…
Superadiabatic generation of cat states in bosonic Josephson junctions under particle losses
Takuya Hatomura, Krzysztof Pawłowski
We investigate a superadiabatic scheme to produce a cat state in a bosonic Josephson junction in absence and presence of particle losses. The generation scheme is based on shortcut…
Shortcuts to Adiabatic Classical Spin Dynamics Mimicking Quantum Annealing
Takuya Hatomura, Takashi Mori
We propose a simple construction of shortcuts to adiabaticity tracking instantaneous stationary states in classical spin systems without knowing tracked stationary states. In our c…
Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
Takuya Hatomura
We propose a quantum speedup method for adiabatic generation of cat states in bosonic Josephson junctions via shortcuts to adiabaticity. We apply approximated counter-diabatic driv…
Shortcuts to adiabaticity in the infinite-range Ising model by mean-field counter-diabatic driving
Takuya Hatomura
The strategy of shortcuts to adiabaticity enables us to realize adiabatic dynamics in finite time. In the counter-diabatic driving approach, an auxiliary Hamiltonian which is calle…
Distribution of eigenstate populations and dissipative beating dynamics in uniaxial single-spin magnets
Takuya Hatomura, Bernard Barbara, Seiji Miyashita
Numerical simulations of magnetization reversal of a quantum uniaxial magnet under a swept magnetic field [Hatomura, \textit{et al}., \textit{Quantum Stoner-Wohlfarth Model}, Phys.…
Quantum Stoner-Wohlfarth model
Takuya Hatomura, Bernard Barbara, Seiji Miyashita
The quantum mechanical counterpart of the famous Stoner-Wohlfarth model -- an easy-axis magnet in a tilted magnetic field -- is studied theoretically and through simulations, as a…