Local unitary classification for sets of generalized Bell states

Bujiao Wu, Jiaqing Jiang, Jialin Zhang, Guojing Tian, and Xiaoming Sun
Phys. Rev. A 98, 022304 – Published 3 August 2018

Abstract

In this paper, we study the local unitary (LU) classification for pairs (triples) of generalized Bell states, based on the local unitary equivalence of two sets. In detail, we first introduce some general unitary operators which give us more local unitary equivalent sets besides Clifford operators. And then we present two necessary conditions for local unitary equivalent sets which can be used to examine the local inequivalence. Following this approach, we completely classify all pairs in the dd quantum system into j=1n(kj+1)1 LU-inequivalent pairs when the prime factorization of d=j=1npjkj. Moreover, all triples in the pαpα quantum system for prime p can be partitioned into (α+3)6pα+O(αpα1) LU-inequivalent triples; especially, when α=2 and p>2, there are exactly 56p2+p26+(1)p3p3+3 LU-inequivalent triples.

  • Figure
  • Figure
  • Received 16 November 2017
  • Revised 28 April 2018

DOI:https://doi.org/10.1103/PhysRevA.98.022304

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Bujiao Wu*, Jiaqing Jiang, Jialin Zhang, Guojing Tian§, and Xiaoming Sun

  • Key Laboratory of Network Data Science and Technology, Institute of Computing Technology, Chinese Academy of Sciences, 100190 Beijing, China and University of Chinese Academy of Sciences, Beijing 100049, China

  • *wubujiao@ict.ac.cn
  • jiangjiaqing17@mails.ucas.ac.cn
  • zhangjialin@ict.ac.cn
  • §tianguojing@ict.ac.cn
  • sunxiaoming@ict.ac.cn

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 98, Iss. 2 — August 2018

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×