aiqbench takeQuantum Computing

This paper establishes theoretical bounds on the sample complexity for the generalized hidden shift problem across arbitrary finite groups, advancing our understanding of quantum algorithms in group-theoretic contexts. By linking these complexities directly to group theoretic data, the work provides critical insights into the efficiency limits of specific quantum protocols.

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On the sample complexity of the generalized hidden shift problem over arbitrary finite groups

arXivSeptember 9, 20261 min read

arXiv:2609.05828v1 Announce Type: new Abstract: We formulate the generalized hidden shift problem over arbitrary finite groups and obtain upper and lower bounds for the sample complexity in terms of group theoretic data.

Abstract:We formulate the generalized hidden shift problem over arbitrary finite groups and obtain upper and lower bounds for the sample complexity in terms of group theoretic data.

Quantum Physics (quant-ph); Computational Complexity (cs.CC); Group Theory (math.GR)

arXiv:2609.05828 [quant-ph]

(or arXiv:2609.05828v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.05828 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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