Digital Quantum Simulation of Spin Models with Circuit Quantum Electrodynamics

Y. Salathe*, M. Mondal, M. Oppliger, J. Heinsoo, P. Kurpiers, A. Potocnik, A. Mezzacapo, U. Las Heras, L. Lamata, E. Solano, S. Filipp, A. Wallraff

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

Systems of interacting quantum spins show a rich spectrum of quantum phases and display interesting many-body dynamics. Computing characteristics of even small systems on conventional computers poses significant challenges. A quantum simulator has the potential to outperform standard computers in calculating the evolution of complex quantum systems. Here, we perform a digital quantum simulation of the paradigmatic Heisenberg and Ising interacting spin models using a two transmon-qubit circuit quantum electrodynamics setup. We make use of the exchange interaction naturally present in the simulator to construct a digital decomposition of the model-specific evolution and extract its full dynamics. This approach is universal and efficient, employing only resources that are polynomial in the number of spins, and indicates a path towards the controlled simulation of general spin dynamics in superconducting qubit platforms.

Original languageEnglish
Article number021027
Number of pages12
JournalPhysical Review X
Volume5
Issue number2
DOIs
Publication statusPublished - 17 Jun 2015
MoE publication typeA1 Journal article-refereed

Keywords

  • CAVITY
  • PROPAGATION
  • ALGORITHMS
  • DYNAMICS
  • QUBITS
  • PHOTON
  • STATES

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