Noise-robustness and experimental data of wavelet-DMERA preparation for critical Ising ground state

          @misc{ scivideos_PIRSA:20110054,
            doi = {10.48660/20110054},
            url = {https://pirsa.org/20110054},
            author = {Sewell, Troy},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Noise-robustness and experimental data of wavelet-DMERA preparation for critical Ising ground state},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2020},
            month = {nov},
            note = {PIRSA:20110054 see, \url{https://scivideos.org/index.php/pirsa/20110054}}
          }
          

Abstract

Multi-scale tensor networks offer a way to efficiently represent ground states of critical systems and may be adapted for state-preparation on a quantum computer. The tensor network for a single scale specifies a quantum channel whose fixed-point is a subregion of the approximate critical ground state. The fixed-point of a noisy channel is perturbed linearly in the noise parameter from the ideal state, making local observables stable against errors for these iterative algorithms. We consider the wavelet-designed circuit for the 1+1D critical Ising ground state as a concrete example to numerically test the noise robustness against our error models and compare the smallest instance case with an implementation on a present-day ion-trap quantum computer.