PIRSA:20110054 Conference Quantum Fields and Strings

DOI10.48660/20110054

Conference/School: Tensor Networks: from Simulations to Holography III

Sewell, T. (2020). Noise-robustness and experimental data of wavelet-DMERA preparation for critical Ising ground state. Perimeter Institute. https://pirsa.org/20110054

Sewell, Troy. Noise-robustness and experimental data of wavelet-DMERA preparation for critical Ising ground state. Perimeter Institute, Nov. 17, 2020, https://pirsa.org/20110054 

@misc{ pirsa_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},
  year = {2020},
  month = {nov},
  note = {PIRSA:20110054 see, \url{https://pirsa.org}}
}

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.

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