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arXiv · 2305.20073

On the Capacity of Secure $K$-user Product Computation over a Quantum MAC

Yuxiang Lu·Yuhang Yao·Syed A. Jafar
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Abstract

Inspired by recent work by Christensen and Popovski on secure $2$-user product computation for finite-fields of prime-order over a quantum multiple access channel, the generalization to $K$ users and arbitrary finite fields is explored. Asymptotically optimal (capacity-achieving for large alphabet) schemes are proposed. Additionally, the capacity of modulo-$d$ ($d\geq 2$) secure $K$-sum computation is shown to be $2/K$ computations/qudit, generalizing a result of Nishimura and Kawachi beyond binary, and improving upon it for odd $K$.

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Yuxiang Lu, Yuhang Yao, Syed A. Jafar. 2023-05-31. On the Capacity of Secure $K$-user Product Computation over a Quantum MAC. https://doi.org/10.1109/lcomm.2023.3311368

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