18 citations
9 papers
Diagonal approximation of the form factor of the unitary group
G. Berkolaiko
The form factor of the unitary group U(N) endowed with the Haar measure characterizes the correlations within the spectrum of a typical unitary matrix. It can be decomposed into a…
Generation of maximally entangled charge-qubit arrays via a cavity mode
Alexandre Guillaume, Jonathan P. Dowling
We describe an assembly of N Cooper-pair boxes (CPB) contained in a single mode cavity. In the dispersive regime, the correlation between the cavity field and each Cooper-pair box…
A range description for the planar circular Radon transform
Gaik Ambartsoumian, Peter Kuchment
The transform considered in the paper integrates a function supported in the unit disk on the plane over all circles centered at the boundary of this disk. Such circular Radon tran…
Pointwise Asymptotic Behavior of Perturbed Viscous Shock Profiles
Peter Howard, Mohammadreza Raoofi
We consider the asymptotic behavior of perturbations of Lax and overcompressive type viscous shock profiles arising in systems of regularized conservation laws with strictly parabo…
Uniqueness for diffusions degenerating at the boundary of a smooth bounded set
Dante DeBlassie
For continuous γ, g:[0,1]\to(0,\infty), consider the degenerate stochastic differential equation dX_t=[1-|X_t|^2]^{1/2}γ(|X_t|) dB_t-g(|X_t|)X_t dt in the closed unit ball of R^n.…
Nonbinary Quantum Reed-Muller Codes
Pradeep Kiran Sarvepalli, Andreas Klappenecker
We construct nonbinary quantum codes from classical generalized Reed-Muller codes and derive the conditions under which these quantum codes can be punctured. We provide a partial a…