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Bulletin of the American Physical Society

Digital Quantum Simulation of Heisenberg Spin-Spin Interactions with Superconducting Qubits

Yves Salathé, Mintu Mondal, Philipp Kurpiers, Markus Oppliger, L. Steffen, Stefan Filipp, Andreas J. Wallraff, Antonio Mezzacapo, U. Las Heras, Lucas Lamata, E. Solano

Published Mar 3, 2014• 0 citations
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Transport phenomena in quantum spin systems have long intrigued physicists due to their potential applications in spintronic devices and spin qubits. Quantum simulations of the spin-spin autocorrelation function (ACF) have been used to probe spin transport, but methods based on the spin-current ACF have yet to be demonstrated due to their high gate cost, despite offering more direct information relevant to transport properties. Here, using a superconducting-qubit-based transmon device, we show that pre-fault-tolerant digital quantum simulation is reliable for studying transport phenomena via spin-current ACF. Overcoming the resource constraints of indirect measurement schemes like the Hadamard test, we showcase a direct measurement scheme using nonunitary operations, particularly midcircuit measurements, to investigate spin transport for the 40-site 1D XXZ Heisenberg model in the near-ballistic, superdiffusive, and diffusive regimes. We observe the power-law behavior consistent with the Kardar-Parisi-Zhang scaling in the superdiffusive regime and vanishing of the Drude weight in the diffusive regime.
Quantum simulation has emerged as a powerful framework for investigating complex many-body phenomena. A key requirement for emulating these dynamics is the realization of fully controllable quantum systems enabling various spin interactions. Yet, quantum simulators remain constrained in the types of attainable interactions. Here we demonstrate experimental realization of multiple microwave-engineered spin interactions in superconducting quantum circuits. By precisely controlling the native XY interaction and microwave drives, we achieve tunable spin Hamiltonians, including (i) XYZ spin models with continuously adjustable parameters, (ii) transverse-field Ising models, and (iii) Dzyaloshinskii–Moriya interacting systems. Our work expands the toolbox for analog-digital quantum simulation, paving the way for exploring a wide range of exotic quantum spin models.