dorsal/arxiv
View SchemaEntangled graphs II: Classical correlations in multi-qubit entangled systems
| Authors | Martin Plesch, Vladimir Buzek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306001 |
| URL | https://arxiv.org/abs/quant-ph/0306001 |
| DOI | 10.1103/PhysRevA.68.012313 |
| Journal | Phys. Rev. A 68, 012313 (2003) |
Abstract
Bipartite correlations in multi-qubit systems cannot be shared freely. The presence of entanglement or classical correlation on certain pairs of qubits may imply correlations on other pairs. We present a method of characterization of bi-partite correlations in multi-qubit systems using a concept of entangled graphs that has been introduced in our earlier work [M.Plesch and V.Buzek, Phys. Rev. A 67, 012322 (2003)]. In entangled graphs each qubit is represented by a vertex while the entanglement and classical correlations are represented by two types of edges. We prove by construction that any entangled graph with classical correlations can be represented by a mixed state of N qubits. However, not all entangled graphs with classical correlations can be represented by a pure state.
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"abstract": "Bipartite correlations in multi-qubit systems cannot be shared freely. The\npresence of entanglement or classical correlation on certain pairs of qubits\nmay imply correlations on other pairs. We present a method of characterization\nof bi-partite correlations in multi-qubit systems using a concept of entangled\ngraphs that has been introduced in our earlier work [M.Plesch and V.Buzek,\nPhys. Rev. A 67, 012322 (2003)]. In entangled graphs each qubit is represented\nby a vertex while the entanglement and classical correlations are represented\nby two types of edges. We prove by construction that any entangled graph with\nclassical correlations can be represented by a mixed state of N qubits.\nHowever, not all entangled graphs with classical correlations can be\nrepresented by a pure state.",
"arxiv_id": "quant-ph/0306001",
"authors": [
"Martin Plesch",
"Vladimir Buzek"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.68.012313",
"journal_ref": "Phys. Rev. A 68, 012313 (2003)",
"title": "Entangled graphs II: Classical correlations in multi-qubit entangled systems",
"url": "https://arxiv.org/abs/quant-ph/0306001"
},
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