title: Dynamic creation of a topologically-ordered Hamiltonian using spin-pulse control in the Heisenberg model.
abstract: Hamiltonian engineering is an important approach for quantum information processing, when appropriate materials do not exist in nature or are unstable. So far there is no stable material for the Kitaev spin Hamiltonian with anisotropic interactions on a honeycomb lattice, which plays a crucial role in the realization of both Abelian and non-Abelian anyons. Here, we show two methods to dynamically realize the Kitaev spin Hamiltonian from the conventional Heisenberg spin Hamiltonian using pulse-control techniques based on the Baker-Campbell-Hausdorff (BCH) formula. In the first method, the Heisenberg interaction is changed into Ising interactions in the first process of the pulse sequence. In the next process of the first method, we transform them to a desirable anisotropic Kitaev spin Hamiltonian. In the second more efficient method, we show that if we carefully design two-dimensional pulses that vary depending on the qubit location, we can obtain the desired Hamiltonian in only one step of applying the BCH formula. As an example, we apply our methods to spin qubits based on quantum dots, in which the effects of both the spin-orbit interaction and the hyperfine interaction are estimated.
authors.affiliation: Corporate R &D center, Toshiba Corporation, Saiwai-ku, Kawasaki 212-8582, Japan.
authors.forename: Tetsufumi
authors.initials: T
authors.lastname: Tanamoto
authors.affiliation: Low temperature physics laboratory, RIKEN, Wako-shi, Saitama 351-0198, China.
authors.forename: Keiji
authors.initials: K
authors.lastname: Ono
authors.affiliation: 1] Institute of Microelectronics, Tsinghua University, Beijing 100084, China [2] CEMS, RIKEN, Wako-shi, Saitama, 351-0198, Japan [3] Tsinghua National Laboratory for Information Science and Technology (TNList), Beijing 100084, China.
authors.forename: Yu-xi
authors.initials: YX
authors.lastname: Liu
authors.affiliation: 1] CEMS, RIKEN, Wako-shi, Saitama, 351-0198, Japan [2] Physics Department, The University of Michigan, Ann Arbor, Michigan 48109-1040, USA.
authors.forename: Franco
authors.initials: F
authors.lastname: Nori