dorsal/arxiv
View SchemaEntangled webs: Tight bound for symmetric sharing of entanglement
| Authors | Masato Koashi, Vladimir Buzek, Nobuyuki Imoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007086 |
| URL | https://arxiv.org/abs/quant-ph/0007086 |
| DOI | 10.1103/PhysRevA.62.050302 |
Abstract
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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"abstract": "Quantum entanglement cannot be unlimitedly shared among arbitrary number of\nqubits. Larger the number of entangled pairs in an N-qubit system, smaller the\ndegree of bi-partite entanglement is. We analyze a system of N qubits in which\nan arbitrary pair of particles is entangled. We show that the maximum degree of\nentanglement (measured in the concurrence) between any pair of qubits is 2/N.\nThis tight bound can be achieved when the qubits are prepared in a pure\nsymmetric (with respect to permutations) state with just one qubit in the basis\nstate |0\u003e and the others in the basis state |1\u003e.",
"arxiv_id": "quant-ph/0007086",
"authors": [
"Masato Koashi",
"Vladimir Buzek",
"Nobuyuki Imoto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.050302",
"title": "Entangled webs: Tight bound for symmetric sharing of entanglement",
"url": "https://arxiv.org/abs/quant-ph/0007086"
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