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A Simulation of a Simulation : Algorithms for Symmetry-Protected Measurement-Based Quantum Computing Experiments Weil, Ryohei

Abstract

The paradigm of measurement-based quantum computing (MBQC) provides an ideal theoretical playground to characterize quantum computational resources. Recent advances have yielded a formalism to characterize the computational power of finite one-dimensional MBQC resource states, extending prior classification for infinite systems based on symmetry-protected topological (SPT) phases. In this work, we develop techniques for the experimental realization of these results on Noisy Intermediate-Scale Quantum (NISQ) devices. We demonstrate a post-processing algorithm for bypassing the generally inefficient transformation to the resource states of interest. We also develop and perform a variational algorithm for obtaining the coefficients of this transformation. Our results demonstrate the capability of NISQ devices for showcasing phenomena relating to quantum computational resource characterization.

Item Metadata

Title
A Simulation of a Simulation : Algorithms for Symmetry-Protected Measurement-Based Quantum Computing Experiments
Creator
Weil, Ryohei
Date Issued
2022-04
Description
The paradigm of measurement-based quantum computing (MBQC) provides an ideal theoretical playground to characterize quantum computational resources. Recent advances have yielded a formalism to characterize the computational power of finite one-dimensional MBQC resource states, extending prior classification for infinite systems based on symmetry-protected topological (SPT) phases. In this work, we develop techniques for the experimental realization of these results on Noisy Intermediate-Scale Quantum (NISQ) devices. We demonstrate a post-processing algorithm for bypassing the generally inefficient transformation to the resource states of interest. We also develop and perform a variational algorithm for obtaining the coefficients of this transformation. Our results demonstrate the capability of NISQ devices for showcasing phenomena relating to quantum computational resource characterization.
Genre
Graduating Project
Type
Text
Language
eng
Series
University of British Columbia. PHYS 449
Date Available
2022-07-06
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0416093
URI
http://hdl.handle.net/2429/82098
Affiliation
Science, Faculty of; Physics and Astronomy, Department of
Peer Review Status
Unreviewed
Scholarly Level
Undergraduate
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository
DSpace

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Attribution-NonCommercial-NoDerivatives 4.0 International