Experimental Preparation of Topologically Ordered States via Adiabatic Evolution

TL;DR

This paper demonstrates how to prepare topologically ordered states in 2D spin-lattice models using adiabatic evolution of a time-dependent Hamiltonian, advancing quantum memory research.

Contribution

It introduces a method to engineer Hamiltonians for adiabatic preparation of topological states, including the reconstruction of their highly entangled ground states.

Findings

Successful adiabatic preparation of topologically ordered states.

Reconstruction of density matrices showing long-range entanglement.

Identification of different ground-state sectors via string operators.

Abstract

Topological orders are a class of exotic states of matter characterized by patterns of long-range entanglement. Certain topologically ordered systems are proposed as potential realization of fault-tolerant quantum computation. Topological orders can arise in two-dimensional spin-lattice models. In this paper, we engineer a time-dependent Hamiltonian to prepare a topologically ordered state through adiabatic evolution. The other sectors in the degenerate ground-state space of the model are obtained by applying nontrivial operations corresponding to closed string operators. Each sector is highly entangled, as shown from the completely reconstructed density matrices. This paves the way towards exploring the properties of topological orders and the application of topological orders in topological quantum memory.