N-sum box: An abstraction for linear computation over many-to-one quantum networks

M Allaix, Y Lu, Y Yao, T Pllaha… - … 2023-2023 IEEE …, 2023 - ieeexplore.ieee.org
Linear computations over quantum many-to-one communication networks offer opportunities
for communication cost improvements through schemes that exploit quantum entanglement …

The capacity of classical summation over a quantum MAC with arbitrarily distributed inputs and entanglements

Y Yao, SA Jafar - IEEE Transactions on Information Theory, 2024 - ieeexplore.ieee.org
The Σ-QMAC problem is introduced, involving S servers, K classical (F d) data streams, and
T independent quantum systems. Data stream W k, k∈[K] is replicated at a subset of servers …

The capacity of classical summation over a quantum MAC with arbitrarily distributed inputs and entanglements

Y Yao, SA Jafar - arXiv preprint arXiv:2305.03122, 2023 - arxiv.org
The $\Sigma $-QMAC problem is introduced, involving $ S $ servers, $ K $ classical
($\mathbb {F} _d $) data streams, and $ T $ independent quantum systems. Data stream …

Slepian–Wolf coding with quantum side information

X Liu, Z Xi, H Fan - Quantum Information Processing, 2023 - Springer
In this paper, we consider the classical Slepian–Wolf coding with quantum side information,
corresponding to the compression of two correlated classical parts, using their quantum …

The capacity of classical summation over a quantum MAC with arbitrarily replicated inputs

Y Yao, S Jafar - GLOBECOM 2023-2023 IEEE Global …, 2023 - ieeexplore.ieee.org
The problem of entanglement-assisted summation over a quantum multiple access channel
(Σ-QMAC) is intro-duced, involving S servers, K classical (F_d) data streams that are …

The Inverted 3-Sum Box: General Formulation and Quantum Information Theoretic Optimality

Y Yao, SA Jafar - arXiv preprint arXiv:2407.01498, 2024 - arxiv.org
The $ N $-sum box protocol specifies a class of $\mathbb {F} _d $ linear functions $ f
(W_1,\cdots, W_K)= V_1W_1+ V_2W_2+\cdots+ V_KW_K\in\mathbb {F} _d^{m\times 1} …

Source coding with quantum side information at several decoders

X Han, X Liu, Z Xi - Quantum Information Processing, 2023 - Springer
We consider the task of the classical source coding with quantum side information at several
decoders. This is a quantum generalization of classical Sgarro's three correlated information …