If you take a pure quantum state $\ket\psi$ and consider its orbit under Hamiltonian dynamics $\ket{\psi(t)} = \exp(iHt) \ket\psi$, what range of expectation values can it take (for some fixed obse...
Joint work with Ryan O'Loughlin, P. Pikul, S. Weis, K. Życzkowski, and I.M. Spitkovsky. Let's define the joint numerical range of $k$ Hermitian matrices $X_i \in \mathbb{C}^{d\times d...
Usually, the states are identified with normalized vectors of a particular vector space \(\mathcal{H}\). Fortunately, in quantum information the entire complexity of function spaces can be simplifi...
Joint work with P. Pikul, S. Weis, K. Życzkowski, and I.M. Spitkovsky. The geometry of the set of density operators of size $d$ gets increasingly complex as the dimension grows: see the note ab...