In the world of quantum computing, the Hilbert space dimension—the measure of the number of quantum states that a quantum computer can access—is a prized possession. Having a larger Hilbert ...

Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”. The paper is just 13 pages long ...

He explains that these concepts developed for two dimensions can extended to infinite dimensions within the realm of Hilbert space. Colton, who is a researcher at the University of Delaware in the US, ...