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Quantum Innovation

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https://hdl.handle.net/10388/14352
Applying science, engineering, and a study of the challenges faced by individuals and societies to design new technologies that leverage the special behaviour of quantum particles can help to make our world a better place.

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    Bounds on ๐‘Ž_๐œ‡^(HVP,LO) using Hรถlder's inequalities and finite-energy QCD sum rules
    (Elsevier, 2024-09-26) Li, Siyuan; Steele, Tom; Ho, Jason; R-Rahaman, Raza; Williams, K.; Kleiv, Robin
    This study establishes bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon (๐‘Ž_๐œ‡^(HVP,LO), ๐‘Ž๐œ‡ = (๐‘” โˆ’ 2)๐œ‡โˆ•2) by using Hรถlderโ€™s inequality and related inequalities in Finite-Energy QCD sum rules. Considering contributions from light quarks (๐‘ข, ๐‘‘, ๐‘ ) up to five-loop order in perturbation theory within the chiral limit, leading-order light-quark mass corrections, next-to-leading order for dimension-four QCD condensates, and leading-order for dimension-six QCD condensates, the study finds QCD lower and upper bounds as (657.0 ยฑ 34.8) ร— 10โˆ’10 โ‰ค ๐‘Ž_๐œ‡^(HVP,LO) โ‰ค (788.4 ยฑ 41.8) ร— 10โˆ’10.
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    Quantum Fibrations: Quantum Computation on an Arbitrary Topological Space
    (Springer, 2024-07-10) Ikeda, Kazuki
    Using operator algebras, we extend the theory of quantum computation on a graph to a theory of computation on an arbitrary topological space. Quantum computation is usually implemented on finite discrete sets, and the purpose of this study is to extend this to theories on arbitrary sets. The conventional theory of quantum computers can be viewed as a simplified algebraic geometry theory in which the action of SU(2) is defined on each point of a discrete set. In this study, we extend this in general as a theory of quantum fibrations in which the action of the von Neumann algebra is defined on an arbitrary topological space. The quantum channel is then naturally extended as a net of von Neumann algebras. This allows for a more mathematically rigorous discussion of general theories, including physics and chemistry, which are defined on sets that are not necessarily discrete, from the perspective of quantum computer science.