86 citations · 497 across the 75 of their papers we have counts for
17 papers · 1 filter
Modular quantum computing and quantum-like devices
R. Vilela Mendes
The two essential ideas in this paper are, on the one hand, that a considerable amount of the power of quantum computation may be obtained by adding to a classical computer a few s…
Current algebra, statistical mechanics and quantum models
R. Vilela Mendes
Results obtained in the past for free boson systems at zero and nonzero temperature are revisited to clarify the physical meaning of current algebra reducible functionals which are…
Quantum control of quasi-collision states: A protocol for hybrid fusion
R. Vilela Mendes
When confined to small regions quantum systems exhibit electronic and structural properties different from their free space behavior. These properties are of interest, for example,…
An extended Dirac equation in noncommutative space-time
R. Vilela Mendes
Stabilizing, by deformation, the algebra of relativistic quantum mechanics a non-commutative space-time geometry is obtained. The exterior algebra of this geometry leads to an exte…
On the problem of quantum control in infinite dimensions
R. Vilela Mendes, Vladimir I. Man'ko
In the framework of bilinear control of the Schrödinger equation with bounded control operators, it has been proved that the reachable set has a dense complemement in ${\cal S}\cap…
Universal families and quantum control in infinite dimensions
R. Vilela Mendes
In a topological space, a family of continuous mappings is called universal if its action, in at least one element of the space, is dense. If the mappings are unitary or trace-pres…