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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

One-way LOCC indistinguishability of maximally entangled states

Loading next page...
 
/lp/springer_journal/one-way-locc-indistinguishability-of-maximally-entangled-states-6qJyjkxBnL
Publisher
Springer Journals
Copyright
Copyright © 2013 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-013-0691-9
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Quantum Information ProcessingSpringer Journals

Published: Nov 24, 2013

References

  • 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 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

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

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off