Reachable sets for two-level open quantum systems driven by coherent and incoherent controls
L Lokutsievskiy, A Pechen - Journal of Physics A: Mathematical …, 2021 - iopscience.iop.org
In this work, we study controllability in the set of all density matrices for a two-level open
quantum system driven by coherent and incoherent controls. In Pechen (2011 Phys. Rev. A …
quantum system driven by coherent and incoherent controls. In Pechen (2011 Phys. Rev. A …
Sliding mode control of two-level quantum systems
D Dong, IR Petersen - Automatica, 2012 - Elsevier
This paper proposes a robust control method based on sliding mode design for two-level
quantum systems with bounded uncertainties. An eigenstate of the two-level quantum …
quantum systems with bounded uncertainties. An eigenstate of the two-level quantum …
Minimum-time generation of a uniform superposition in a qubit with only transverse field control
We consider a two-level system with a fixed energy spacing (detuning) between the two
levels and a single transverse control field which can take values between zero and a …
levels and a single transverse control field which can take values between zero and a …
[КНИГА][B] Optimal control with applications in space and quantum dynamics
B Bonnard, D Sugny - 2012 - aimsciences.org
The object of this monograph is to present available techniques to analyze optimal control
problems of systems governed by ordinary differential equations. Coupled with numerical …
problems of systems governed by ordinary differential equations. Coupled with numerical …
Optimal control and selectivity of qubits in contact with a structured environment
We present a theoretical study of the optimal control of a qubit interacting with a structured
environment. We consider a model system in which the bath is a bosonic reservoir at zero …
environment. We consider a model system in which the bath is a bosonic reservoir at zero …
Efficient generation of the triplet Bell state between coupled spins using transitionless quantum driving and optimal control
D Stefanatos, E Paspalakis - Physical Review A, 2019 - APS
We consider a pair of coupled spins with Ising interaction in the z direction and study the
problem of generating efficiently the triplet Bell state. We initially analyze the transitionless …
problem of generating efficiently the triplet Bell state. We initially analyze the transitionless …
Connection between inverse engineering and optimal control in shortcuts to adiabaticity
We consider fast high-fidelity quantum control by using a shortcut to adiabaticity (STA)
technique and optimal control theory (OCT). Three specific examples, including expansion …
technique and optimal control theory (OCT). Three specific examples, including expansion …
Time-optimal control of spin 1/2 particles in the presence of radiation dam** and relaxation
We consider the time-optimal control of an ensemble of uncoupled spin 1/2 particles in the
presence of relaxation and radiation dam** effects, whose dynamics is governed by …
presence of relaxation and radiation dam** effects, whose dynamics is governed by …
On optimization of coherent and incoherent controls for two-level quantum systems
OV Morzhin, AN Pechen - arxiv preprint arxiv:2205.02521, 2022 - arxiv.org
This article considers some control problems for closed and open two-level quantum
systems. The closed system's dynamics is governed by the Schr\" odinger equation with …
systems. The closed system's dynamics is governed by the Schr\" odinger equation with …
Time-optimal selective pulses of two uncoupled spin-1/2 particles
We investigate the time-optimal solution of the selective control of two uncoupled spin 1/2
particles. Using the Pontryagin maximum principle, we derive the global time-optimal pulses …
particles. Using the Pontryagin maximum principle, we derive the global time-optimal pulses …