Title | Hardware-efficient fermionic simulation with a cavity-QED system |
Publication Type | Journal Article |
Year of Publication | 2018 |
Authors | G. Zhu, Y. Subasi, J. D. Whitfield, and M. Hafezi |
Journal | NPJ QUANTUM INFORMATION |
Volume | 4 |
Pagination | 16 |
Date Published | FEB 27 |
Type of Article | Article |
ISSN | 2056-6387 |
Abstract | 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 |
DOI | 10.1038/s41534-018-0065-3 |