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quant-ph2020★ 5 cited
Optimal approximation to unitary quantum operators with linear optics
Juan Carlos Garcia-Escartin, Vicent Gimeno, Julio José Moyano-Fernández
Linear optical systems acting on photon number states produce many interesting evolutions, but cannot give all the allowed quantum operations on the input state. Using Toponogov's…
math.DG2020
Lower Bounds for the Volume with Upper Bounds for the Ricci Curvature in Dimension Three
Vicent Gimeno
In this note we provide several lower bounds for the volume of a geodesic ball within the injectivity radius in a -dimensional Riemannian manifold assuming only upper bounds for…