4 papers
GroupFunctions.jl: computing individual entries of the irreducible representations of the unitary group U(d)
David Amaro-Alcalá, Konrad Szymański
GroupFunctions.jl is a Julia library for computing individual matrix elements of irreducible representations of U(d). These matrix elements, called group functions, can be evaluate…
The uncertainty geometry of finite-dimensional position and momentum
Dimpi Thakuria, Shuheng Liu, Giuseppe Vitagliano +1
Uncertainty relations are usually stated as bounds on selected combinations of variances, but the full covariance matrix contains substantially richer information about the geometr…
Useful entanglement can be extracted from noisy graph states
Konrad Szymański, Lina Vandré, Otfried Gühne
Cluster states and graph states in general offer a useful model of the stabilizer formalism and a path toward the development of measurement-based quantum computation. Their defini…
Rotational covariance restricts available quantum states
Fynn Otto, Konrad Szymański
Quantum states of angular momentum and spin generally are not invariant under rotations of the reference frame. Therefore, they can be used as a resource of relative orientation, w…