Current results in manipulation of ditstring probabilities for entropic quantities

Zane Ozzello

A quantum state is described mathematically by a wave vector which encapsulates knowledge of the system. Such a vector can be used to identify the von Neumann entanglement entropy of a quantum system. Any basis state can occur with a given probability. These probabilities can be approximated by the returns of a quantum computer and can be used to calculate the mutual information. Previously, we have worked to show how the mutual information can approximate the entanglement entropy for bipartite states and for multipartite quantities, these previous results will be highlighted for 1+1D systems where we show they can be used to identify critical points. We have also previously shown that by removing low probabilities in a process we call filtering we can more closely approximate the entanglement. In this presentation, we show further effects of filtering on multipartite systems. We also highlight current progress in extending the aforementioned to 2+1D systems. We highlight current results applying these methods to returns from Quera's Aquila device. We will also show preliminary work surrounding the behavior of states as dictated by their largest probabilities for certain quantum systems.

To participate in this event virtually via Zoom, go to https://uiowa.zoom.us/j/99570315915.