Hamiltonian quantum computing with superconducting qubits

A. Ciani, B. M. Terhal, D. P. Divincenzo

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

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.

Original languageEnglish
Article number035002
Number of pages34
JournalQuantum Science and Technology
Volume4
Issue number3
DOIs
Publication statusPublished - 2019

Keywords

  • hamiltonian design
  • hamiltonian quantum computing
  • superconducting qubits

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