Entanglement splitting of pure bipartite quantum states

Abstract

The concept of entanglement splitting is introduced by asking whether it is possible for a party possessing half of a pure bipartite quantum state to transfer some of his entanglement with the other party to a third party. We describe the unitary local transformation for symmetric and isotropic splitting of a singlet into two branches that leads to the highest entanglement of the output. The capacity of the resulting quantum channels is discussed. Using the same transformation for less than maximally entangled pure states, the entanglement of the resulting states is found. We discuss whether they can be used to do teleportation and to test the Bell inequality. Finally we generalize to entanglement splitting into more than two branches.

6 pages, 2 figures, extended version, to be published in Phys. Rev. A

References in corpus (5)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Optimal Quantum Cloning Machines
• Quantum telecloning and multiparticle entanglement
• Optimal Universal and State-Dependent Quantum Cloning
• Broadcasting of entanglement via local copying

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