Distributed Shor's Algorithm with Sequential Quantum Teleportation

Jehn Ruey Jiang, Ting Yuan Wang, Wen Han Huang, Jie Zhi Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A distributed Shor's algorithm is used to factorize a semiprime with two quantum computers using quantum teleportation to transport quantum states of qubits in parallel. We propose another distributed Shor's algorithm with sequential quantum teleportation to improve the existing one. It explores how to employ distributed quantum computing through a quantum entanglement pair of qubits to transport quantum states of qubits sequentially. We combined two quantum computers to perform the quantum phase estimation (QPE) of Shor's algorithm. This reduced the required number of qubits for a single quantum computer, decreased quantum circuit depth, mitigated the impact of insufficient decoherence time, and accelerated the process of breaking cryptographic systems such as Rivest-Shamir-Adleman (RSA). The designed quantum circuit was executed on the IBM Quantum Lab platform to verify its correctness. We analyzed and compared the required numbers of qubits to run different versions of Shor's algorithm for individual quantum computers, as well as the numbers of qubits required to break different RSA cryptographic systems.

Original languageEnglish
Title of host publication2023 IEEE 5th Eurasia Conference on IOT, Communication and Engineering, ECICE 2023
EditorsTeen-Hang Meen
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages479-484
Number of pages6
ISBN (Electronic)9798350314694
DOIs
StatePublished - 2023
Event5th IEEE Eurasia Conference on IOT, Communication and Engineering, ECICE 2023 - Yunlin, Taiwan
Duration: 27 Oct 202329 Oct 2023

Publication series

Name2023 IEEE 5th Eurasia Conference on IOT, Communication and Engineering, ECICE 2023

Conference

Conference5th IEEE Eurasia Conference on IOT, Communication and Engineering, ECICE 2023
Country/TerritoryTaiwan
CityYunlin
Period27/10/2329/10/23

Keywords

  • RSA cyptography
  • Shor's algorithm
  • distributed quantum algorithm
  • quantum teleportation
  • semiprime factorization

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