Applications of restricted near-term superconducting qubit architectures: Using quantum control to reach quantum advantage

While universal quantum computers certainly will have to be fault tolerant, there is the alternative line of thinking to demonstrate quantum advantage on near-term hardware, with limited number of gates, qubits, and connectivity. This can be achieved by careful co-design of hardware, algorithms, and controls.
I will describe a specific application of this idea, a quantum subroutine to the classical variational Cluster algorithm for the Fermi Hubbard model [1] . This approach can simulate an infinite Hubbard lattice at nonzero temperature with limited resources [2].
One way to make this algorithm maximally effective is the judicious use of one-shot implementations of important gate. To this end, we introduce the iFREDKIN [3] - a three qubit gate that is important in this type of application and that can be implemented in one shot in superconducting qubits with the aid of pulse shaping [4]. We will show further application of exchange-based gates in 1d architectures [5].
inspired by classical computational physics, we will show how to benchmark conservation laws efficiently [6].

[1] P.-L. Dallaire-Demers and F. K. Wilhelm, Phys. Rev. A. 93, 032303 (2016)
[2] P.-L. Dallaire-Demers and F. K. Wilhelm, Phys. Rev. A. 94, 062304 (2016)
[3] P.J. Liebermann, P.-L. Dallaire-Demers, F.K. Wilhelm, arXiv:1701.07870
[4] S. Machnes, D.J. Tannor, F. K. Wilhelm and E. Assémat, arXiv:1507.04261
[5] F. Motzoi, M. P. Kaicher, and F. K. Wilhelm, Phys. Rev. Lett. 119, 160503 (2017)
[6] T. Chasseur, F. Motzoi, M. Kaicher, P.-L. Dallaire-Demers, F.K. Wilhelm, arXiv:1710.04563