PME Quantum Seminar - Reuben Verresen, Harvard University - Realizing long range entanglement and topological states in quantum devices: from Hamilton(ians) to Cayley and Galoi

10:00–11:00 am ERC 201B

5640 S. Ellis Avenue

Abstract

One of the most remarkable discoveries in the last few decades is that collections of entangled qubits can form topological quantum states whose excitations have generalized ('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 mechanisms are identified for a broad range of platforms (such as analog and digital quantum simulators), which this talk exemplifies with experimental data on cold ions and Rydberg atom tweezer arrays. In particular, long-range entanglement can be obtained through: topological 'spin liquid' ground states, non-equilibrium quantum dynamics, and shallow circuits with measurements and feedforward. Only the latter is able to avoid fundamental constraints imposed by locality and unitarity, leading to a surprising connection to the unsolvability of the quintic.

Event Type

Seminars

Jan 24