Digital Quantum Simulation of Spin Models with Superconducting Quantum Circuits

The simulation of complex many-body quantum systems including spin models with more than a few tens of spins is a computationally difficult problem on a classical computer. In contrast, a quantum simulator realised by a well-controlled quantum system is expected to efficiently simulate a wide range of quantum systems. In this talk, I will present our recent work[ ] where we make use of the circuit quantum electrodynamics (QED) architecture based on superconducting quantum elements as one of the potential candidates to implement such a quantum simulator. We digitally simulate paradigmatic Heisenberg and Ising interacting spin models using two transmon qubits coupled to a common cavity mode. We make use of the exchange interaction naturally present in the simulator to construct a digital decomposition of the model-specific evolution and study its dynamics. This efficient approach uses resources that are polynomial in the number of spins and opens a new path towards the controlled simulation of many-body quantum systems in superconducting qubit platforms.

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[ ] 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, and A. Wallraff, Phys. Rev. X 5, 021027 (2015), also in arXiv:1502.06778