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Why can quantum algorithms provide exponential speedup in problems which are part of the Abelian group

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Quantum algorithms can offer exponential speedup over classical algorithms when the structure of the problem that is solved by the algorithm can be represented as part of a Abelian group.Why?What property of the Abelian groups enables quantum algorithms to give that speedup?

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    Why can quantum algorithms provide exponential speedup in problems which are part of the Abelian group Ask Question Asked today Modified today Viewed 8 times 0 Quantum algorithms can offer exponential speedup over classical algorithms when the structure of the problem that is solved by the algorithm can be represented as part of a Abelian group.Why?What property of the Abelian groups enables quantum algorithms to give that speedup? quantum-gatequantum-state Share Improve this question Follow asked 3 hours ago Whiter Fox 1533 3 bronze badges Add a comment Know someone who can answer? Share a link to this question via email, Twitter, or Facebook. Your Answer Sign up or log in Sign up using Google Sign up using Email and Password Post as a guest Name Email Required, but never shown Post Your Answer By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy. Start asking to get answers Find the answer to your question by asking. 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    Quantum Computing SE
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    ◌ Quantum Computing
    Published
    Mar 19, 2026
    Archived
    Mar 19, 2026
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