Accurate and decoherence-protected adiabatic quantum computation

          @misc{ pirsa_PIRSA:08100039,
            doi = {10.48660/08100039},
            url = {https://pirsa.org/08100039},
            author = {Lidar, Daniel},
            keywords = {Quantum Information},
            language = {en},
            title = {Accurate and decoherence-protected adiabatic quantum computation},
            publisher = {Perimeter Institute},
            year = {2008},
            month = {oct},
            note = {PIRSA:08100039 see, \url{https://pirsa.org}}
          }
          

Abstract

In the closed system setting I will show how to obtain extremely accurate adiabatic QC by proper choice of the interpolation between the initial and final Hamiltonians. Namely, given an analytic interpolation whose first N initial and final time derivatives vanish, the error can be made to be smaller than 1/N^N, with an evolution time which scales as N and the square of the norm of the time-derivative of the Hamiltonian, divided by the cube of the gap (joint work with Ali Rezakhani and Alioscia Hamma). In the open system setting I will describe a method for protecting adiabatic QC by use of a hybrid encoding-dynamical decoupling scheme. This strategy can be used to protect spin-based universal adiabatic QC against arbitrary 1-local noise using only global magnetic fields. By combining error bounds for the closed and open system settings, I will show that in principle the method is scalable to arbitrarily large computations. References: Closed system case: arXiv:0808.2697 Open system case: Phys. Rev. Lett. 100, 160506 (2008)