Three routes to topological long-range entanglement in quantum devices: from Hamilton(ians) to Cayley and Galois
Abstract: One of the most remarkable discoveries in the last few decades is that collections of entangled qubits can form states of matter whose topological excitations have anyonic exchange statistics. Despite the importance of such states for quantum information purposes, they are extremely challenging to find in materials. In this talk, we explore how novel 'bottom-up' quantum devices---built atom by atom, qubit by qubit---challenge this status quo. Three promising routes are identified for NISQ devices, which this talk will exemplify with experimental data on cold ions and Rydberg tweezer arrays. In particular, long-range entanglement is built through: topological spin liquid ground states, non-equilibrium quantum dynamics, and shallow circuits with measurements and feedforward. Only the latter is able to avoid deep constraints imposed by locality and unitarity, leading to a surprising connection to the unsolvability of the quintic.
Bio: Ruben Verresen completed his undergraduate studies at KULeuven in his home country of Belgium, after which he earned master degrees at the Perimeter Institute for Theoretical Physics and the University of Cambridge. His PhD work at the Max-Planck-Institute for the Physics Complex Systems and the Technical University of Munich focused on the theory of strongly-interacting matter from the perspective of tensor networks, topological states and quantum dynamics, for which he was awarded the Otto Hahn Medal in 2021. He is currently an HQI Postdoctoral Fellow at Harvard University where he works on the interplay between emergent phenomena in many-body quantum systems, quantum information theory, and experimental realizations.