The ultimate goal of cosmology contains the greatest ambition of any scientific field: to understand the birth, growth, and evolution of the entire Universe. This includes every particle, antiparticle ...

For a noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the joint rank-k numerical range associated with the error operators ...

Backward error analysis has become an important tool for understanding the long time behavior of numerical integration methods. This is true in particular for the ...