State Preparation in the Heisenberg Model through Adiabatic Spiraling

Anthony N. Ciavarella, Stephan Caspar, Marc Illa, and Martin J. Savage

InQubator for Quantum Simulation (IQuS), Department of Physics, University of Washington, Seattle, Washington 98195-1550, USA

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Updated version: The authors have uploaded version v7 of this work to the arXiv which may contain updates or corrections not contained in the published version v5. The authors left the following comment on the arXiv:
22 pages, 8 figures, published version, fixed missing acknowledgment


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.

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