5 citations · 5 across the 4 of their papers we have counts for
5 papers
Eavesdropping on the BB84 Protocol using Phase-Covariant Cloning: Experimental Results
Brian Pigott, Elizabeth Campolongo, Hardik Routray +1
Though the BB84 protocol has provable security over a noiseless quantum channel, the security is not proven over current noisy technology. The level of tolerable error on such syst…
Hopf-Like Bifurcation in a Wave Equation at a Removable Singularity
Nemanja Kosovalic, Brian Pigott
It is shown that a one-dimensional damped wave equation with an odd time derivative nonlinearity exhibits small amplitude bifurcating time periodic solutions, when the bifurcation…
Nonlinear Profile Decomposition and the Concentration Phenomenon for Supercritical Generalized KdV Equations
Luiz Gustavo Farah, Brian Pigott
A nonlinear profile decomposition is established for solutions of supercritical generalized Korteweg-de Vries equations. As a consequence, we obtain a concentration result for fini…
Asymptotic Stability for KdV Solitons in Weighted Spaces
Brian Pigott, Sarah Raynor
In this work, we consider the stability of solitons for the KdV equation below the energy space, using spatially-exponentially-weighted norms. Using a combination of the -method…
Asymptotic Stability for KdV Solitons in Weighted Spaces via Iteration
Brian Pigott, Sarah Raynor
In this paper, we reconsider the well-known result of Pego-Weinstein \cite{MR1289328} that soliton solutions to the Korteweg-deVries equation are asymptotically stable in exponenti…