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arXiv · 1502.06778

Digital quantum simulation of spin models with circuit quantum electrodynamics

Y. Salathé·M. Mondal·M. Oppliger·J. Heinsoo·P. Kurpiers·A. Potočnik·A. Mezzacapo·U. Las Heras·L. Lamata·E. Solano·S. Filipp·A. Wallraff
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Abstract

Systems of interacting quantum spins show a rich spectrum of quantum phases and display interesting many-body dynamics. Computing characteristics of even small systems on conventional computers poses significant challenges. A quantum simulator has the potential to outperform standard computers in calculating the evolution of complex quantum systems. Here, we perform a digital quantum simulation of the paradigmatic Heisenberg and Ising interacting spin models using a two transmon-qubit circuit quantum electrodynamics setup. We make use of the exchange interaction naturally present in the simulator to construct a digital decomposition of the model-specific evolution and extract its full dynamics. This approach is universal and efficient, employing only resources which are polynomial in the number of spins and indicates a path towards the controlled simulation of general spin dynamics in superconducting qubit platforms.

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Y. Salathé, M. Mondal, M. Oppliger, J. Heinsoo, P. Kurpiers, A. Potočnik, A. Mezzacapo, U. Las Heras, L. Lamata, E. Solano, S. Filipp, A. Wallraff. 2015-02-24. Digital quantum simulation of spin models with circuit quantum electrodynamics. https://doi.org/10.1103/physrevx.5.021027

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