# Yang-Baxter $${\breve R}$$ matrix, entanglement and Yangian

Yang-Baxter $${\breve R}$$ matrix, entanglement and Yangian We present a method to construct “X” form unitary Yang-Baxter $${\breve R}$$ matrices, which act on the tensor product space $${V_{i}^{j_{1}}\otimes V_{i+1}^{j_{2}}}$$ . We can obtain a set of entangled states for (2j 1 + 1) × (2j 2 + 1)-dimensional system with these Yang-Baxter $${\breve R}$$ matrices. By means of Yang-Baxter approach, a 8 × 8 Yang-Baxter Hamiltonian is constructed. Yangian symmetry and Yangian generators as shift operators for this Yang-Baxter system are investigated in detail. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Yang-Baxter $${\breve R}$$ matrix, entanglement and Yangian

, Volume 11 (6) – Nov 16, 2011
10 pages

/lp/springer_journal/yang-baxter-breve-r-matrix-entanglement-and-yangian-01zW6YTE3E
Publisher
Springer US
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/s11128-011-0332-0
Publisher site
See Article on Publisher Site

### Abstract

We present a method to construct “X” form unitary Yang-Baxter $${\breve R}$$ matrices, which act on the tensor product space $${V_{i}^{j_{1}}\otimes V_{i+1}^{j_{2}}}$$ . We can obtain a set of entangled states for (2j 1 + 1) × (2j 2 + 1)-dimensional system with these Yang-Baxter $${\breve R}$$ matrices. By means of Yang-Baxter approach, a 8 × 8 Yang-Baxter Hamiltonian is constructed. Yangian symmetry and Yangian generators as shift operators for this Yang-Baxter system are investigated in detail.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Nov 16, 2011

### References

• Quantum information and computation
Bennett, C.H.; DiVincenzo, D.P.

## 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.

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. ### DeepDyve Freelancer ### DeepDyve Pro Price FREE$49/month

\$360/year
Save searches from