Parallel quantum operations with chiral spin states in a superconducting circuit

  1. Da-Wei Wang,
  2. Chao Song,
  3. Wei Feng,
  4. Han Cai,
  5. Da Xu,
  6. Hui Deng,
  7. Dongning Zheng,
  8. Xiaobo Zhu,
  9. H. Wang,
  10. Shiyao Zhu,
  11. and Marlan O. Scully
Recently it was shown that mesoscopic superpositions of photonic states can be prepared based on a spin-gated chiral photon rotation in a Fock-state lattice of three cavities coupled to a spin (two-level atom). By exchanging the roles of the cavities and the spin, we have performed parallel operations on chiral spin states based on an antisymmetric spin exchange interaction (ASI) in a superconducting circuit. The ASI, which is also called Dzyaloshinskii-Moriya interaction, plays an important role in the formation of topological spin textures such as skyrmions. By periodically modulating the transition frequencies of three superconducting qubits interacting with a bus resonator, we synthesize a chiral ASI Hamiltonian with spin-gated chiral dynamics, which allow us to demonstrate a three-spin chiral logic gate and entangle up to five qubits in Greenberger-Horne-Zeilinger states. Our results pave the way for quantum simulation of magnetism with ASI and quantum computation with chiral spin states.
arxiv pdf

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