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Controlling bipartite entanglement in multi-qubit systems

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PLESCH Martin DZURÁKOVÁ Zuzana NOVOTNÝ Jaroslav BUŽEK Vladimír

Year of publication 2004
Type Article in Periodical
Magazine / Source Journal of Physics A
MU Faculty or unit

Faculty of Informatics

Field Informatics
Keywords quantum information processing
Description Bi-partite entanglement in multi-qubit systems cannot be shared freely. The rules of quantum mechanics impose bounds on how multi-qubit systems can be correlated. In this paper, we utilize a concept of entangled graphs with weighted edges in order to analyse pure quantum states of multi-qubit systems. Here qubits are represented by vertexes of the graph, while the presence of bipartite entanglement is represented by an edge between corresponding vertexes. The weight of each edge is defined to be the entanglement between the two qubits connected by the edge, as measured by the concurrence. We prove that each entangled graph with entanglement bounded by a specific value of the concurrence can be represented by a pure multi-qubit state. In addition, we present a logic network with O(N2) elementary gates that can be used for preparation of the weighted entangled graphs of N qubits.
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