# Maximal entanglement concentration for a set of $$(n+1)$$ ( n + 1 ) -qubit states

Maximal entanglement concentration for a set of $$(n+1)$$ ( n + 1 ) -qubit states We propose two schemes for concentration of $$(n+1)$$ ( n + 1 ) -qubit entangled states that can be written in the form of $$\left( \alpha |\varphi _{0}\rangle |0\rangle +\beta |\varphi _{1}\rangle |1\rangle \right) _{n+1}$$ α | φ 0 ⟩ | 0 ⟩ + β | φ 1 ⟩ | 1 ⟩ n + 1 where $$|\varphi _{0}\rangle$$ | φ 0 ⟩ and $$|\varphi _{1}\rangle$$ | φ 1 ⟩ are mutually orthogonal n-qubit states. The importance of this general form is that the entangled states such as Bell, cat, GHZ, GHZ-like, $$|\varOmega \rangle$$ | Ω ⟩ , $$|Q_{5}\rangle$$ | Q 5 ⟩ , 4-qubit cluster states and specific states from the nine SLOCC-nonequivalent families of 4-qubit entangled states can be expressed in this form. The proposed entanglement concentration protocol is based on the local operations and classical communications (LOCC). It is shown that the maximum success probability for ECP using quantum nondemolition technique (QND) is $$2\beta ^{2}$$ 2 β 2 for $$(n+1)$$ ( n + 1 ) -qubit states of the prescribed form. It is shown that the proposed schemes can be implemented optically. Further, it is also noted that the proposed schemes can be implemented using quantum dot and microcavity systems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Maximal entanglement concentration for a set of $$(n+1)$$ ( n + 1 ) -qubit states

, Volume 14 (12) – Sep 28, 2015
14 pages

/lp/springer_journal/maximal-entanglement-concentration-for-a-set-of-n-1-n-1-qubit-states-w7xGxw0Oyi
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/s11128-015-1128-4
Publisher site
See Article on Publisher Site

### Abstract

We propose two schemes for concentration of $$(n+1)$$ ( n + 1 ) -qubit entangled states that can be written in the form of $$\left( \alpha |\varphi _{0}\rangle |0\rangle +\beta |\varphi _{1}\rangle |1\rangle \right) _{n+1}$$ α | φ 0 ⟩ | 0 ⟩ + β | φ 1 ⟩ | 1 ⟩ n + 1 where $$|\varphi _{0}\rangle$$ | φ 0 ⟩ and $$|\varphi _{1}\rangle$$ | φ 1 ⟩ are mutually orthogonal n-qubit states. The importance of this general form is that the entangled states such as Bell, cat, GHZ, GHZ-like, $$|\varOmega \rangle$$ | Ω ⟩ , $$|Q_{5}\rangle$$ | Q 5 ⟩ , 4-qubit cluster states and specific states from the nine SLOCC-nonequivalent families of 4-qubit entangled states can be expressed in this form. The proposed entanglement concentration protocol is based on the local operations and classical communications (LOCC). It is shown that the maximum success probability for ECP using quantum nondemolition technique (QND) is $$2\beta ^{2}$$ 2 β 2 for $$(n+1)$$ ( n + 1 ) -qubit states of the prescribed form. It is shown that the proposed schemes can be implemented optically. Further, it is also noted that the proposed schemes can be implemented using quantum dot and microcavity systems.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Sep 28, 2015

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