Quantum Private Membership Aggregation
- URL: http://arxiv.org/abs/2401.16390v1
- Date: Mon, 29 Jan 2024 18:32:19 GMT
- Title: Quantum Private Membership Aggregation
- Authors: Alptug Aytekin, Mohamed Nomeir, Sennur Ulukus
- Abstract summary: We consider the problem of private set membership aggregation of $N$ parties by using an entangled quantum state.
We propose an encoding algorithm that maps the classical information into distinguishable quantum states, along with a decoding algorithm that exploits the distinguishability of the mapped states.
- Score: 35.16231062731263
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider the problem of private set membership aggregation of $N$ parties
by using an entangled quantum state. In this setting, the $N$ parties, which
share an entangled state, aim to \emph{privately} know the number of times each
element (message) is repeated among the $N$ parties, with respect to a
universal set $\mathcal{K}$. This problem has applications in private
comparison, ranking, voting, etc. We propose an encoding algorithm that maps
the classical information into distinguishable quantum states, along with a
decoding algorithm that exploits the distinguishability of the mapped states.
The proposed scheme can also be used to calculate the $N$ party private
summation modulo $P$.
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