TY - JOUR AU - Ciani, A AU - Terhal, Barbara AU - DiVincenzo, David TI - Hamiltonian quantum computing with superconducting qubits JO - Quantum science and technology VL - 4 IS - 3 SN - 2058-9565 CY - Philadelphia, PA PB - IOP Publishing M1 - FZJ-2019-06134 SP - 035002 - PY - 2019 AB - We consider how the Hamiltonian Quantum Computing scheme introduced in (2016 New J. Phys. 18 023042) can be implemented using a 2D array of superconducting transmon qubits. We show how the scheme requires the engineering of strong attractive cross-Kerr and weak flip-flop or hopping interactions and we detail how this can be achieved. Our proposal uses a new electric circuit for obtaining the attractive cross-Kerr coupling between transmons via a dipole-like element. We discuss and numerically analyze the forward motion and execution of the computation and its dependence on coupling strengths and their variability. We extend (2016 New J. Phys. 18 023042) by explicitly showing how to construct a direct Toffoli gate, thus establishing computational universality via the Hadamard and Toffoli gate or via controlled-Hadamard, Hadamard and CNOT. LB - PUB:(DE-HGF)16 UR - <Go to ISI:>//WOS:000467483300001 DO - DOI:10.1088/2058-9565/ab18dd UR - https://juser.fz-juelich.de/record/867511 ER -