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Hardware-efficient fermionic simulation with a cavity-QED system

TitleHardware-efficient fermionic simulation with a cavity-QED system
Publication TypeJournal Article
Year of Publication2018
AuthorsG. Zhu, Y. Subasi, J. D. Whitfield, and M. Hafezi
Date PublishedFEB 27
Type of ArticleArticle

In digital quantum simulation of fermionic models with qubits, non-local maps for encoding are often encountered. Such maps require linear or logarithmic overhead in circuit depth which could render the simulation useless, for a given decoherence time. Here we show how one can use a cavity-QED system to perform digital quantum simulation of fermionic models. In particular, we show that highly nonlocal Jordan-Wigner or Bravyi-Kitaev transformations can be efficiently implemented through a hardware approach. The key idea is using ancilla cavity modes, which are dispersively coupled to a qubit string, to collectively manipulate and measure qubit states. Our scheme reduces the circuit depth in each Trotter step of the Jordan-Wigner encoding by a factor of N-2, comparing to the scheme for a device with only local connectivity, where N is the number of orbitals for a generic two-body Hamiltonian. Additional analysis for the Fermi-Hubbard model on an N x N square lattice results in a similar reduction. We also discuss a detailed implementation of our scheme with superconducting qubits and cavities.}, %%Address = {MACMILLAN BUILDING, 4 CRINAN ST, LONDON N1 9XW, ENGLAND