Universal Quantum Gate Set for Gottesman-Kitaev-Preskill Logical Qubits
V. G. Matsos, C. H. Valahu, M. J. Millican, T. Navickas, X. C., Kolesnikow, M. J. Biercuk, T. R. Tan

TL;DR
This paper demonstrates a universal set of quantum gates for GKP logical qubits encoded in a trapped ion's motion, including the first two-qubit entangling gate, advancing fault-tolerant quantum computing.
Contribution
It introduces a novel optimal control method to implement universal quantum gates on GKP codes with high fidelity, including the first two-qubit entangling gate.
Findings
Single-qubit gates with 0.960 fidelity
Two-qubit entangling gate with 0.680 fidelity
Creation of GKP Bell state with 0.842 fidelity
Abstract
The realisation of a universal quantum computer at scale promises to deliver a paradigm shift in information processing, providing the capability to solve problems that are intractable with conventional computers. A key limiting factor of realising fault-tolerant quantum information processing (QIP) is the large ratio of physical-to-logical qubits that outstrip device sizes available in the near future. An alternative approach proposed by Gottesman, Kitaev, and Preskill (GKP) encodes a single logical qubit into a single harmonic oscillator, alleviating this hardware overhead in exchange for a more complex encoding. Owing to this complexity, current experiments with GKP codes have been limited to single-qubit encodings and operations. Here, we report on the experimental demonstration of a universal gate set for the GKP code, which includes single-qubit gates and -- for the first time --…
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Taxonomy
TopicsBenford’s Law and Fraud Detection · Quantum Computing Algorithms and Architecture · Theoretical and Computational Physics
