Digital quantum simulation in superconducting circuits

A. Mezzacapo^a, U. Las Heras^a, J. Pedernales^a, L. Lamata^a, L. DiCarlo^b, S. Filipp^c,

A. Wallraff^c, E. Solano^a,d

^aDepartment of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, E-48080 Bilbao, Spain.

^bKavli Institute of Nanoscience, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, The Netherlands.

^cDepartment of Physics, ETH Zürich, CH-8093 Zürich, Switzerland.

^dIKERBASQUE, Basque Foundation for Science, Alameda Urquijo 36, 48011 Bilbao, Spain.

We propose the implementation of digital quantum simulators in superconducting architectures, by enhancing standard digital quantum simulation techniques with complex circuitQED quantum gates. We study the quantum simulation capability of a realistic superconducting setup, composed of transmon qubits and microwave resonators. We analyze the simulated dynamics for interacting spin models [1], and quantum Rabi and Dicke models [2]. By designing novel collective gates for superconducting qubits [3], we show that the dynamics of highly entangled fermionic systems can be recovered [4].

[1] U. Las Heras, A. Mezzacapo, L. Lamata, S. Filipp, A. Wallraff, E. Solano, Phys. Rev. Lett., in press, also e-print arXiv:1311.7626.

[2] A. Mezzacapo, U. Las Heras, J. Pedernales, L. DiCarlo, E. Solano, L. Lamata, in preparation.

[3] A. Mezzacapo, L. Lamata, S. Filipp, A. Wallraff, E. Solano, e-print arXiv:1403.3652.

[4] U. Las Heras, A. Mezzacapo, L. Lamata, E. Solano, in preparation.