Entangled graphs: Bipartite entanglement in multiqubit systems
- Research Center for Quantum Information, Slovak Academy of Sciences, Dubravska cesta 9, Bratislava (Slovakia)
Quantum entanglement in multipartite systems cannot be shared freely. In order to illuminate basic rules of entanglement sharing between qubits, we introduce a concept of an entangled structure (graph) such that each qubit of a multipartite system is associated with a point (vertex), while a bipartite entanglement between two specific qubits is represented by a connection (edge) between these points. We prove that any such entangled structure can be associated with a pure state of a multiqubit system. Moreover, we show that a pure state corresponding to a given entangled structure is a superposition of vectors from a subspace of the 2{sup N}-dimensional Hilbert space, whose dimension grows linearly with the number of entangled pairs.
- OSTI ID:
- 20634100
- Journal Information:
- Physical Review. A, Vol. 67, Issue 1; Other Information: DOI: 10.1103/PhysRevA.67.012322; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
Similar Records
Direct versus measurement-assisted bipartite entanglement in multiqubit systems and their dynamical generation in spin systems
Speed of disentanglement in multiqubit systems under a depolarizing channel