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Cost-reduced all-Gaussian universality with the Gottesman-Kitaev-Preskill code: Resource-theoretic approach to cost analysis

Hayata Yamasaki, Takaya Matsuura, Masato Koashi

2020Physical Review Research48 citationsDOIOpen Access PDF

Abstract

The authors present a new mechanism to prepare magic states of the Gottesman-Kitaev-Preskill (GKP) continuous-variable quantum error-correcting code from two perspectives. The paper proposes two methods: a cost-reduced scheme of universal quantum computation by experimentally tractable Gaussian operations using the GKP magic states as a single resource, and the formulation of a resource-theoretical method for quantitatively analyzing the usefulness of magic states of the GKP code.

Topics & Concepts

Universality (dynamical systems)ComputationMAGIC (telescope)Quantum computerGaussianQuantumMathematicsAlgorithmStatistical physicsComputer scienceScheme (mathematics)Theoretical computer scienceMagic squareTheoretical physicsBosonizationFuzzy logicDiscrete mathematicsSource codeCode (set theory)Quantum Information and CryptographyQuantum Computing Algorithms and ArchitectureQuantum Mechanics and Applications
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