Please use this identifier to cite or link to this item: https://doi.org/10.1038/s41598-019-49968-3
Title: Quantum computational universality of hypergraph states with Pauli-X and Z basis measurements
Authors: Takeuchi, Y.
Morimae, T.
Hayashi, M. 
Issue Date: 2019
Publisher: Nature Publishing Group
Citation: Takeuchi, Y., Morimae, T., Hayashi, M. (2019). Quantum computational universality of hypergraph states with Pauli-X and Z basis measurements. Scientific Reports 9 (1) : 13585. ScholarBank@NUS Repository. https://doi.org/10.1038/s41598-019-49968-3
Rights: Attribution 4.0 International
Abstract: Measurement-based quantum computing is one of the most promising quantum computing models. Although various universal resource states have been proposed so far, it was open whether only two Pauli bases are enough for both of universal measurement-based quantum computing and its verification. In this paper, we construct a universal hypergraph state that only requires X and Z-basis measurements for universal measurement-based quantum computing. We also show that universal measurement-based quantum computing on our hypergraph state can be verified in polynomial time using only X and Z-basis measurements. Furthermore, in order to demonstrate an advantage of our hypergraph state, we construct a verifiable blind quantum computing protocol that requires only X and Z-basis measurements for the client. © 2019, The Author(s).
Source Title: Scientific Reports
URI: https://scholarbank.nus.edu.sg/handle/10635/212236
ISSN: 20452322
DOI: 10.1038/s41598-019-49968-3
Rights: Attribution 4.0 International
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