Quantum simulation with arrays of transmon qubits: Ising dynamics

ORAL

Abstract

Chains of coupled qubits are known to realize the transverse-field Ising Hamiltonian in the two-level approximation. In this model, the qubit transition frequencies map onto the external magnetic field, so the ground and excited states play the role of spin-up and spin-down atoms. We implement this structure in a planar, on-chip architecture, with a one dimensional linear array of capacitively-coupled transmon qubits, where the two terminal qubits are dispersively coupled to microwave independent resonators for state readout. We present spectroscopic data and describe coherent manipulations in the array.

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Authors

  • Vinay Ramasesh

    QNL, University of California, Berkeley

  • Shay Hacohen-Gourgy

    QNL, University of California, Berkeley

  • Thomas Kiendl

    Institut for Theoretical Physics, Universit\"at Erlangen-N\"urnberg, Staudtstra{\ss}e 7, D-91058 Erlangen, Germany

  • Florian Marquardt

    Institut for Theoretical Physics, Universit\"at Erlangen-N\"urnberg, Staudtstra{\ss}e 7, D-91058 Erlangen, Germany, University of Erlangen-Nuernberg

  • Nathan Siwak

    Laboratory for Physical Sciences, Laboratory for the Physical Sciences - University of Maryland, College Park

  • Christopher Richardson

    Laboratory for Physical Sciences, Laboratory for the Physical Sciences - University of Maryland, College Park

  • I. Siddiqi

    Quantum Nanoelectronics Laboratory, Department of Physics, University of California, Berkeley CA, QNL, University of California, Berkeley, University California Berkeley, University of California at Berkeley