Entangled webs: Tight bound for symmetric sharing of entanglement

Details Entangled webs: Tight bound for symmetric sharing of entanglement Entangled webs: Tight bound for symmetric sharing of entanglement

2000-07-24

arxiv.org/abs/quant-ph/0007086v1

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevA.62.050302

Quantum entanglement cannot be unlimitedly shared among arbitrary number of qubits. Larger the number of entangled pairs in an N-qubit system, smaller the degree of bi-partite entanglement is. We analyze a system of N qubits in which an arbitrary pair of particles is entangled. We show that the maximum degree of entanglement (measured in the concurrence) between any pair of qubits is 2/N. This tight bound can be achieved when the qubits are prepared in a pure symmetric (with respect to permutations) state with just one qubit in the basis state |0> and the others in the basis state |1>.

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