[HTML][HTML] Complexity of quantum-mechanical evolutions from probability amplitudes
We study the complexity of both time-optimal and time sub-optimal quantum Hamiltonian
evolutions connecting arbitrary source and a target states on the Bloch sphere equipped …
evolutions connecting arbitrary source and a target states on the Bloch sphere equipped …
Analytically solvable Hamiltonian in invariant subspaces
We study a generic time-dependent Jaynes–Cummings model, discovering universal
features of its time evolution on a dynamical time scale which is here defined as an integral …
features of its time evolution on a dynamical time scale which is here defined as an integral …
[HTML][HTML] Controlling the charge-transfer dynamics of two-level systems around avoided crossings
Two-level quantum systems are fundamental physical models that continue to attract
growing interest due to their crucial role as a building block of quantum technologies. The …
growing interest due to their crucial role as a building block of quantum technologies. The …
Variationally scheduled quantum simulation
S Matsuura, S Buck, V Senicourt, A Zaribafiyan - Physical Review A, 2021 - APS
Eigenstate preparation is ubiquitous in quantum computing, and a standard approach for
generating the lowest-energy states of a given system is by employing adiabatic state …
generating the lowest-energy states of a given system is by employing adiabatic state …
From the classical Frenet-Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part I. Stationary Hamiltonians
It is known that the Frenet-Serret apparatus of a space curve in three-dimensional Euclidean
space determines the local geometry of curves. In particular, the Frenet-Serret apparatus …
space determines the local geometry of curves. In particular, the Frenet-Serret apparatus …
Exactly solvable time-dependent models of two interacting two-level systems
Two coupled two-level systems placed under external time-dependent magnetic fields are
modeled by a general Hamiltonian endowed with a symmetry that enables us to reduce the …
modeled by a general Hamiltonian endowed with a symmetry that enables us to reduce the …
Greenberger‐Horne‐Zeilinger‐state Generation in Qubit‐Chains via a Single Landau‐Majorana‐Stückelberg‐Zener π/2‐pulse
A protocol for generating Greenberger‐Horne‐Zeilinger states in a system of NN coupled
qubits is proposed. The Hamiltonian model assumes NN‐wise interactions between the NN …
qubits is proposed. The Hamiltonian model assumes NN‐wise interactions between the NN …
Classes of Exactly Solvable Generalized Semi‐Classical Rabi Systems
The exact quantum dynamics of a single spin‐1/2 in a generic time‐dependent classical
magnetic field are investigated and compared with the quantum motion of a spin‐1/2 studied …
magnetic field are investigated and compared with the quantum motion of a spin‐1/2 studied …
Curvature of quantum evolutions for qubits in time-dependent magnetic fields
In the geometry of quantum-mechanical processes, the time-varying curvature coefficient of
a quantum evolution is specified by the magnitude squared of the covariant derivative of the …
a quantum evolution is specified by the magnitude squared of the covariant derivative of the …
Dzyaloshinskii-Moriya and dipole-dipole interactions affect coupling-based Landau-Majorana-Stückelberg-Zener transitions
It has been theoretically demonstrated that two spins (qubits or qutrits), coupled by
exchange interaction only, undergo a coupling-based joint Landau-Majorana-Stückelberg …
exchange interaction only, undergo a coupling-based joint Landau-Majorana-Stückelberg …