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One Dimensional Regularizations of the Coulomb Potential with Application to Atoms in Strong Magnetic Fields
Raymond Brummelhuis, Mary Beth Ruskai, Elisabeth Werner
We consider one-dimensional regularizations of the Coulomb potential formed by taking a two-dimensional expectation of the Coulomb potential with respect to the Landau states. It i…
Minimal Entropy of States Emerging from Noisy Quantum Channels
C. King, M. B. Ruskai
In this paper, we consider the minimal entropy of qubit states transmitted through two uses of a noisy quantum channel, which is modeled by the action of a completely positive trac…
Pauli Exchange Errors in Quantum Computation
Mary Beth Ruskai
In many physically realistic models of quantum computation, Pauli exchange interactions cause a subset of two-qubit errors to occur as a first order effect of couplings within the…
A One-Dimensional Model for Many-Electron Atoms in Extremely Strong Magnetic Fields: Maximum Negative Ionization
Raymond Brummelhuis, Mary Beth Ruskai
We consider a one-dimensional model for many-electron atoms in strong magnetic fields in which the Coulomb potential and interactions are replaced by one-dimensional regularization…
Study of a Class of Regularizations of 1/|x| using Gaussian Integrals
Mary Beth Ruskai, Elisabeth Werner
This paper presents a comprehensive study of a class of functions which approximate 1/|x| for large x but which are finite at the origin. These functions arise naturally in the stu…