# The topological basis expression of four-qubit XXZ spin chain with twist boundary condition

The topological basis expression of four-qubit XXZ spin chain with twist boundary condition We investigate the XXZ model’s characteristic with the twisted boundary condition and the topological basis expression. Owing to twist boundary condition, the ground state energy will changing back and forth between $$E_{13}$$ and $$E_{15}$$ by modulate the parameter $$\phi$$ . By using TLA generators, the XXZ model’s Hamiltonian can be constructed. All the eigenstates can be expressed by topological basis, and the whole of eigenstates’ entanglement are maximally entangle states ( $$Q(|\phi _i\rangle )=1$$ ). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# The topological basis expression of four-qubit XXZ spin chain with twist boundary condition

, Volume 12 (7) – Feb 9, 2013
10 pages

/lp/springer_journal/the-topological-basis-expression-of-four-qubit-xxz-spin-chain-with-pRZxdS7dWd
Publisher
Springer Journals
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/s11128-012-0523-3
Publisher site
See Article on Publisher Site

### Abstract

We investigate the XXZ model’s characteristic with the twisted boundary condition and the topological basis expression. Owing to twist boundary condition, the ground state energy will changing back and forth between $$E_{13}$$ and $$E_{15}$$ by modulate the parameter $$\phi$$ . By using TLA generators, the XXZ model’s Hamiltonian can be constructed. All the eigenstates can be expressed by topological basis, and the whole of eigenstates’ entanglement are maximally entangle states ( $$Q(|\phi _i\rangle )=1$$ ).

### Journal

Quantum Information ProcessingSpringer Journals

Published: Feb 9, 2013

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