3 papers · 1 filter
Lie algebraic invariants in quantum linear optics
Pablo V. Parellada, Vicent Gimeno i Garcia, Julio José Moyano-Fernández +1
Quantum linear optics without post-selection is not powerful enough to produce any quantum state from a given input state. This limits its utility since some applications require e…
No-go theorems for photon state transformations in quantum linear optics
Pablo V. Parellada, Vicent Gimeno i Garcia, Julio-José Moyano-Fernández +1
We give a necessary condition for photon state transformations in linear optical setups preserving the total number of photons. From an analysis of the algebra describing the quant…
Energy Spectrum of a constrained Quantum Particle and the Willmore Energy of the constraining Surface
Vicent Gimeno i Garcia, Steen Markvorsen
Geometric and topological bounds are obtained for the first energy level gap of a particle constrained to move on a compact surface in 3-space. Moreover, geometric properties are f…