Publication details

Entangled graphs: Classical correlations in multi-qubit entangled systems

Title in English Entangled graphs: Bipartite entanglement in multiqubit systems

PLESCH Martin BŮŽEK Vladimír

Year of publication 2003
Type Article in Periodical
Magazine / Source Physical Review A (Atomic, Molecular, and Optical Physics)
MU Faculty or unit

Faculty of Informatics

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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