6 citations · 24 across the 10 of their papers we have counts for
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Rotating-wave approximation for spin-boson models with structured fields
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We derive state-dependent bounds on the difference between two quantum evolutions generated by unbounded Hamiltonians sharing a common form domain. The main technical tool is a sec…
On a sharper bound on the stability of non-autonomous Schrödinger equations and applications to quantum control
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We study the stability of the Schrödinger equation generated by time-dependent Hamiltonians with constant form domain. That is, we bound the difference between solutions of the Sch…
Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose edges a…
Quantum Control at the Boundary: an application to quantum circuits
Aitor Balmaseda
Approximate controllability for a quantum system on a graph using as control parameters boundary conditions will be proven. This establishes a first theoretical proof of the feasib…
On -invariant self-adjoint extensions of the Laplacian on quantum circuits
A. Balmaseda, F. Di Cosmo, J. M. Pérez-Pardo
An analysis of the invariance properties of self-adjoint extensions of symmetric operators under the action of a group of symmetries is presented. For a given group , criteria f…
Quantum Control at the Boundary
A. Balmaseda, J. M. Pérez-Pardo
We present a scheme for controlling the state of a quantum system by modifying the boundary conditions. This constitutes an infinite-dimensional control problem. We provide conditi…