Quantum Private Membership Aggregation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913214002888704 |
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| author | Aytekin, Alptug Nomeir, Mohamed Ulukus, Sennur |
| author_facet | Aytekin, Alptug Nomeir, Mohamed Ulukus, Sennur |
| contents | 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 $P$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16390 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Private Membership Aggregation Aytekin, Alptug Nomeir, Mohamed Ulukus, Sennur Information Theory Cryptography and Security Networking and Internet Architecture Signal Processing Quantum Physics 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 $P$. |
| title | Quantum Private Membership Aggregation |
| topic | Information Theory Cryptography and Security Networking and Internet Architecture Signal Processing Quantum Physics |
| url | https://arxiv.org/abs/2401.16390 |