Quantum Simulation with Arrays of Transmon Qubits

ORAL

Abstract

We present progress toward quantum simulation of one-dimensional spin chains using planar transmon qubits in a circuit QED architecture. In particular, we discuss the Ising model as realized by an array of capacitively-coupled transmon qubits with the terminal qubit dispersively coupled to a microwave resonator. We engineer an approximation to the Ising Hamiltonian with the ground and excited states playing the role of spin-up and spin-down atoms. We present preliminary spectroscopic data and coherent manipulations in chains of varying length.

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Authors

  • Shay Hacohen-Gourgy

    QNL, UC Berkeley, QNL, University of California, Berkeley

  • Vinay Ramasesh

    QNL, University of California, Berkeley

  • Oliver Viehmann

    Physics Dept, Arnold Sommerfeld Center for Theoretical Physics, and Center for NanoScience, Ludwig-Maximilians-Universit\"at, Theresienstra{\ss}e 37

  • Jan von Delft

    Ludwig Maximilians Universitaet Muenchen, Physics Dept, Arnold Sommerfeld Center for Theoretical Physics, and Center for NanoScience, Ludwig-Maximilians-Universit\"at, Theresienstra{\ss}e 37

  • Florian Marquardt

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

  • Irfan Siddiqi

    QNL, University of California, Berkeley, University of California, Berkeley, QNL, UC Berkeley, Quantum Nanoelectronics Laboratory, Department of Physics, University of California, Berkeley