Stephan Caspar

State Preparation in the Heisenberg Model through Adiabatic Spiraling

Anthony N. Ciavarella [1], Stephan Caspar [1], Marc Illa [1], Martin J. Savage [1]

Abstract

An adiabatic state preparation technique, called the adiabatic spiral, is proposed for the Heisenberg model. This technique is suitable for implementation on a number of quantum simulation platforms such as Rydberg atoms, trapped ions, or superconducting qubits. Classical simulations of small systems suggest that it can be successfully implemented in the near future. A comparison to Trotterized time evolution is performed and it is shown that the adiabatic spiral is able to outperform Trotterized adiabatics.