Related papers: Non-Abelian Anyons with Rydberg Atoms

Non-Abelian Anyons with Rydberg Atoms

URL: http://arxiv.org/abs/2301.04250v1
Date: Tue, 10 Jan 2023 23:54:42 GMT
Title: Non-Abelian Anyons with Rydberg Atoms
Authors: Nora M. Bauer, Elias Kokkas, Victor Ale, George Siopsis
Abstract summary: We study the emergence of topological matter in two-dimensional systems of neutral Rydberg atoms in Ruby lattices. Non-Abelian anyons would form a substrate for fault-tolerant quantum computing.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We study the emergence of topological matter in two-dimensional systems of neutral Rydberg atoms in Ruby lattices. While Abelian anyons have been predicted in such systems, non-Abelian anyons, which would form a substrate for fault-tolerant quantum computing, have not been generated. To generate anyons with non-Abelian braiding statistics, we consider systems with mixed-boundary punctures. We obtain the topologically distinct ground states of the system numerically using the iDMRG technique. We discuss how these topological states can be created using ancilla atoms of a different type. We show that a system with 2N+2 punctures and an equal number of ancilla atoms leads to N logical qubits whose Hilbert space is determined by a set of stabilizing conditions on the ancilla atoms. Quantum gates can be implemented using a set of gates acting on the ancilla atoms that commute with the stabilizers and realize the braiding group of non-Abelian Ising anyons.

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