@article {ISI:000428598700001,
title = {Hardware-efficient fermionic simulation with a cavity-QED system},
journal = {NPJ QUANTUM INFORMATION},
volume = {4},
year = {2018},
month = {FEB 27},
pages = {16},
publisher = {NATURE PUBLISHING GROUP},
type = {Article},
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},
issn = {2056-6387},
doi = {10.1038/s41534-018-0065-3},
author = {Zhu, Guanyu and Subasi, Yigit and Whitfield, James D. and Hafezi, Mohammad}
}