Analog Ising chain simulation with transmons

摘要

Currently, the applications of medium-scale systems composed of superconducting qubits are mostly limited to testing basic principles of quantum computation, demonstrating those as proof-of-concept designs and developing scalable software and hardware interfaces to them. Although this is useful in terms of encouraging future developments in the domain, an alternative approach exists to exploit the built-in quantum properties of such devices to experiment with fundamental physical models. There already were [1, 2, 3] some successful attempts to use small arrays of superconducting qubits to observe inherently quantum analog behaviour of these systems, and this work is aimed to continue those studies. We are developing a chip to experimentally simulate crystal structure, many-body localization and heat transport properties with a chain of XX-coupled transmons. First, we introduce the investigated system Hamiltonian. Second, we describe a chip design and calculations for obtaining required parameters. Then we observe methods of classical and quantum mechanics for dynamics simulation of the system. Finally, we provide some theoretical results.