Concurrence vectors in arbitrary multipartite quantum systems

2003/11/30 by Seyed Javad Akhtarshenas, S. J. Akhtarshenas · 6 citations
Computer Science · Mathematics · Physics and Astronomy · #Concurrence #Epistemology #Mathematics #Multipartite #Multipartite entanglement #Norm (philosophy) #Philosophy #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum optics and atomic interactions #Squashed entanglement #quant-ph

paper · pdf · doi:10.1088/0305-4470/38/30/011

published as J. Phys. A: Math. Gen. 38 (2005) 6777-6784 · 9 pages, v3, section 3 is revised

openalex publication_date 2005/07/13 · arxiv created 2005/07/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

For a given pure state of a multipartite system, the concurrence vector is defined by employing the defining representation of generators of the corresponding rotation groups. The norm of a concurrence vector is considered as a measure of entanglement. For the multipartite pure state, the concurrence vector is regarded as the direct sum of concurrence subvectors in the sense that each subvector is associated with a pair of particles. It is proposed to use the norm of each subvector as the contribution of the corresponding pair in entanglement of the system.

Citations

• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Die gegenw�rtige Situation in der Quantenmechanik
• Universal state inversion and concurrence in arbitrary dimensions
• On the Einstein Podolsky Rosen paradox

Cited by

• The invariant-comb approach and its relation to the balancedness of multipartite entangled states
• Coherence number as a discrete quantum resource
• Polygamy of entanglement in multipartite quantum systems
• Triangle inequalities in coherence measures and entanglement concurrence
• Entanglement sudden birth of two trapped ions interacting with a time-dependent laser field
• Partial transposition as a direct link between concurrence and negativity