Classification of GHZ-type, W-type, and GHZ-W-type multiqubit entanglement

Journal Article · Fri Dec 15 04:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.062310· OSTI ID:20976439

Lin, Chen; Yixin, Chen ^[1]

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1. Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027 (China)

We propose the concept of SLOCC-equivalent basis in the multiqubit space. In particular, two special SEBs, the Greenberger-Horne-Zeilinger-(GHZ-) type and the W-type basis are introduced. They can make up a more general family of multiqubit states, the GHZ-W-type states, which is a useful kind of entanglement for quantum teleportation and error correction. We completely characterize the property of this type of state, and mainly classify the GHZ-type and the W-type states in a regular way, which is related to the enumerative combinatorics. Many concrete examples are given to exhibit our method of classification. We also propose the condition on which two GHZ-W-type states are interconvertible with probability 1.

• OSTI ID: 20976439
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 74; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSIFICATION
CORRECTIONS
ERRORS
PROBABILITY
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUANTUM TELEPORTATION
QUBITS