Polynomial-time solution for the #P problem based on classical electronic circuits

Jiacheng Bao, Zhenwei Yang, Houjun Sun, Xiangdong Zhang

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

Abstract

The #P problem is believed to be intractable using classical computers due to difficulties presented by exponential time. It is generally assumed that the best way to solve this problem is to use an algorithm based on quantum mechanics. Here, we propose and demonstrate experimentally an alternative way to solve the #P problem by implementing classical electronic circuits. The typical #P problem to calculate the permanent of a matrix and the related boson sampling problem are solved in polynomial time with exponential frequency bandwidth which limits the scalability of the scheme. The running time of our scheme to solve these problems is equivalent to those based on quantum mechanics. It is also important that our method has good stability of classical circuits. Thus, our findings are advantageous for information processing in the era of big data.

Original languageEnglish
Title of host publicationICSIDP 2019 - IEEE International Conference on Signal, Information and Data Processing 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728123455
DOIs
Publication statusPublished - Dec 2019
Event2019 IEEE International Conference on Signal, Information and Data Processing, ICSIDP 2019 - Chongqing, China
Duration: 11 Dec 201913 Dec 2019

Publication series

NameICSIDP 2019 - IEEE International Conference on Signal, Information and Data Processing 2019

Conference

Conference2019 IEEE International Conference on Signal, Information and Data Processing, ICSIDP 2019
Country/TerritoryChina
CityChongqing
Period11/12/1913/12/19

Keywords

  • #P problem
  • Boson sampling
  • electronic circuit
  • quantum computing

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