Quantum Simulation of Bose-Hubbard Phases with a Superconducting Transmon Lattice
ORAL
Abstract
The Hubbard model underpins the behavior of lattices of particles, and offers the ability to study transitions between insulating and conducting behavior in solid state systems. In the case where these particles have bosonic statistics, this becomes the Bose-Hubbard model which describes the natural time evolution of superconducting qudit lattices. Characterization of the many-body nature of a transmon lattice offers both a method of benchmarking larger lattices, for which performing qubit-by-qubit characterization is infeasible, and a platform for studying Hubbard physics in a highly controllable quantum system. In this talk, we will discuss progress towards performing multi-level analog quantum simulation of the Bose-Hubbard model using transmons. In order to have tunable interactions between lattice sites, we use additional transmon qubits as tunable couplers. This addition, as well as the operation of transmons beyond a two-level system, adds complexity to both control and modeling. We will provide an overview of our methods for circumventing this complexity and calibrating our 21-transmon system. Finally, we will discuss measurement of order parameters on this platform and what they elucidate about the phases in our system.
*This work is supported in part by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Systems Accelerator; by the Defense Advanced Research Projects Agency under the Quantum Benchmarking contract; and by the U.S. Department of Energy under Air Force Contract No. FA8702-15-D-0001. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the U.S. Government.
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Presenters
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Sarah Muschinske
- Massachusetts Institute of Technology