Blindly Factorizing 21 Quantumly

Fuente: arXiv
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Autores principales: Das, Aritra, Sanders, Barry C.
Formato: Preprint
Publicado: 2022
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author Das, Aritra
Sanders, Barry C.
author_facet Das, Aritra
Sanders, Barry C.
contents We develop a classically verifiable scheme for blindly factorizing the semiprime 21 quantumly for a classical client who does not trust the remote quantum servers. Our scheme advances state of the art, which achieves blind factorization of 15 quantumly, by increasing the problem to factorizing the next semiprime, choosing a harder base, executing a non-Clifford gate, and showing that the security check for 15 also works for 21. Our algorithmic approach to incorporating non-Clifford operations sets the stage for scaling blind quantum factorization, whereas our five-EPR-pair scheme motivates a photonic experiment that supplants current demonstrations of blind factorization.
format Preprint
id arxiv_https___arxiv_org_abs_2207_09267
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Blindly Factorizing 21 Quantumly
Das, Aritra
Sanders, Barry C.
Quantum Physics
We develop a classically verifiable scheme for blindly factorizing the semiprime 21 quantumly for a classical client who does not trust the remote quantum servers. Our scheme advances state of the art, which achieves blind factorization of 15 quantumly, by increasing the problem to factorizing the next semiprime, choosing a harder base, executing a non-Clifford gate, and showing that the security check for 15 also works for 21. Our algorithmic approach to incorporating non-Clifford operations sets the stage for scaling blind quantum factorization, whereas our five-EPR-pair scheme motivates a photonic experiment that supplants current demonstrations of blind factorization.
title Blindly Factorizing 21 Quantumly
topic Quantum Physics
url https://arxiv.org/abs/2207.09267