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

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.

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[1] Yuguo Su, Wangjun Lu, and Hai-Long Shi, "Quantum metrology enhanced by the XY spin interaction in a generalized Tavis-Cummings model", Physical Review A 109 4, 042614 (2024).

[2] Tiago S. Farias, Vitor V. Schultz, José C.M. Mombach, and Jonas Maziero, "A differentiable programming framework for spin models", Computer Physics Communications 302, 109234 (2024).

[3] Lei Feng, Or Katz, Casey Haack, Mohammad Maghrebi, Alexey V. Gorshkov, Zhexuan Gong, Marko Cetina, and Christopher Monroe, "Continuous symmetry breaking in a trapped-ion spin chain", Nature 623 7988, 713 (2023).

[4] Matteo Turco, Gonçalo Quinta, João Seixas, and Yasser Omar, "Quantum Simulation of Bound State Scattering", PRX Quantum 5 2, 020311 (2024).

[5] Santanu Dhara, Dibyajyoti Sahu, Manvendra Singh, and Suhas Gangadharaiah, "Transport phenomena and correlation dynamics of a one-dimensional effective Hamiltonian equivalent to the hexagonal Harper model", Physical Review B 109 13, 134204 (2024).

[6] Nikita A. Zemlevskiy, Henry F. Froland, and Stephan Caspar, "Optimization of algorithmic errors in analog quantum simulations", Physical Review A 109 5, 052425 (2024).

[7] Thomas D. Cohen and Hyunwoo Oh, "Optimizing the rodeo projection algorithm", Physical Review A 108 3, 032422 (2023).

[8] Thomas D. Cohen and Hyunwoo Oh, "Efficient vacuum-state preparation for quantum simulation of strongly interacting local quantum field theories", Physical Review A 109 2, L020402 (2024).

[9] Anthony N. Ciavarella, Stephan Caspar, Hersh Singh, and Martin J. Savage, "Preparation for quantum simulation of the (1 +1 ) -dimensional O(3) nonlinear σ model using cold atoms", Physical Review A 107 4, 042404 (2023).

The above citations are from Crossref's cited-by service (last updated successfully 2024-06-22 10:58:04) and SAO/NASA ADS (last updated successfully 2024-06-22 10:58:05). The list may be incomplete as not all publishers provide suitable and complete citation data.