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Modern Physics Letters B

TRIPARTITE ENTANGLED STATE REPRESENTATION AND ITS APPLICATION IN QUANTUM TELEPORTATION

Hong-Yi Fan, Nian-Quan Jiang, Lu Hai-Liang

Published Dec 30, 2002• 6 citations
Publisher

Abstract

We set up a tripartite entangled state representation |p, χ2, χ3> in three-mode Fock space which is composed of the common eigenvectors of three particles' relative coordinates X1 - X2 and X1 - X3 as well as the total momentum P1 + P2 + P3. The Schmidt decomposition of |p, χ2, χ3 > is made and its application in quantum teleporting a two-particle entangled state or a two-mode squeezed state is analyzed.

DOI
10.1142/s0217984902004780

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We constructed a new three-mode entangled state representation in the three-mode Fock space, which is complete and can make up a new quantum representation. This state can be generated experimentally by combining beamsplitter with polarizer. The entanglement properties are analyzed by obtaining its Schmidt decomposition. As an important application of this state, we consider a single-mode state teleportation by using this new state as a quantum channel, and present the corresponding teleportation scheme.