One-way LOCC indistinguishability of maximally entangled states

One-way LOCC indistinguishability of maximally entangled states In this letter, we mainly study the local indistinguishability of mutually orthogonal maximally entangled states, which are in canonical form. Firstly, we present a feasible sufficient and necessary condition for distinguishing such states by one-way local operations and classical communication (LOCC). Secondly, for the application of this condition, we exhibit one class of maximally entangled states that can be locally distinguished with certainty. Furthermore, sets of $$d-1$$ d - 1 indistinguishable maximally entangled states by one-way LOCC are demonstrated in $$d \otimes d$$ d ⊗ d (for $$d=7, 8, 9, 10$$ d = 7 , 8 , 9 , 10 ). Interestingly, we discover there exist sets of $$d-2$$ d - 2 such states in $$d \otimes d$$ d ⊗ d (for $$d=8, 9, 10$$ d = 8 , 9 , 10 ), which are not perfectly distinguishable by one-way LOCC. Finally, we conjecture that there exist $$d-1$$ d - 1 or fewer indistinguishable maximally entangled states in $$d \otimes d(d \ge 5)$$ d ⊗ d ( d ≥ 5 ) by one-way LOCC. Quantum Information Processing Springer Journals

One-way LOCC indistinguishability of maximally entangled states

Loading next page...
Springer US
Copyright © 2013 by Springer Science+Business Media New York
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
Publisher site
See Article on Publisher Site


  • Positive-partial-transpose-indistinguishable states via semidefinite programming
    Cosentino, A

You’re reading a free preview. Subscribe to read the entire article.

DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

Monthly Plan

  • Read unlimited articles
  • Personalized recommendations
  • No expiration
  • Print 20 pages per month
  • 20% off on PDF purchases
  • Organize your research
  • Get updates on your journals and topic searches


Start Free Trial

14-day Free Trial

Best Deal — 39% off

Annual Plan

  • All the features of the Professional Plan, but for 39% off!
  • Billed annually
  • No expiration
  • For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.



billed annually
Start Free Trial

14-day Free Trial