Entangled graphs: Classical correlations in multi-qubit entangled systems
| Title in English | Entangled graphs: Bipartite entanglement in multiqubit systems |
|---|---|
| Authors | |
| Year of publication | 2003 |
| Type | Article in Periodical |
| Magazine / Source | Physical Review A (Atomic, Molecular, and Optical Physics) |
| MU Faculty or unit | |
| Citation | |
| Field | Informatics |
| Keywords | Entanglement theory |
| Description | Bipartite correlations in multiqubit 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 bipartite correlations in multiqubit systems using a concept of entangled graphs which has been introduced in our earlier work @M. Plesch and V. Bužek, 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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