3 papers
math.DS2022
Periodic oscillations in the restricted Hip-Hop 2N+1 body problem
Andres Rivera, Oscar Perdomo, Nelson Castaneda
We prove the existence of periodic solutions of the restricted -body problem when the -primaries move on a periodic Hip-Hop solution and the massless body moves on the…
math.DS2022
Periodic oscillations in a 2N-body problem
Oscar Perdomo, Andrés Rivera, John A. Arredondo +1
Hip-Hop solutions of the -body problem are solutions that satisfy at every instance of time, that the bodies with the same mass , are at the vertices of two regular …
quant-ph2022
Preparation of 3-qubit states
Oscar Perdomo, Nelson Castaneda, Roger Vogeler
We will call a pure qubit state real if all its amplitudes are real numbers. We show that any real 3-qubit state can be prepared using gates and at most four controlled-$Z…