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Quantum Science and Technology

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Institute for Quantum Computing

id Quantique

Adiabatic gate teleportation

Steve Flammia, Perimeter Institute
joint work with Dave Bacon

The difficulty in producing precisely timed and controlled quantum gates is a significant source of error in many physical implementations of quantum computers.  Here we introduce a simple universal primitive, adiabatic gate teleportation, which is robust to timing errors and many control errors and maintains a constant energy gap throughout the computation above a degenerate ground state space.  Notably this construction allows for geometric robustness based upon the control of two independent qubit interactions. Further, our piecewise adiabatic evolution easily relates to the quantum circuit model, enabling the use of standard methods from fault-tolerance theory for establishing thresholds. The method also allows for a detailed analysis of adiabatic braiding of topological quasiparticles as well as a new hybrid model of quantum computing that uses aspects of the adiabatic and measurement-based models. A more detailed presentation of the main results concerning adiabatic gate teleportation can be found in D. Bacon and S. T. Flammia, Phys. Rev. Lett. 103, 120504 (2009).