2008/04/16 by Ali Saif M. Hassan, Pramod S. Joag · 3 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #quant-ph
paper · pdf · doi:10.1103/physreva.77.062334
published as PHYSICAL REVIEW A 77, 062334 (2008) · 23 pages, 6 figures, presented in part at ISCQI (Bhubaneswar, India), comments are welcome
arxiv created 2008/04/16 · openalex publication_date 2008/06/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We present a multipartite entanglement measure for N-qubit pure states, using the norm of the correlation tensor which occurs in the Bloch representation of the state. We compute this measure for several important classes of N-qubit pure states such as Greenberger-Horne-Zeilinger and W states and their superpositions. We compute this measure for interesting applications like the one-dimensional Heisenberg antiferromagnet. We use this measure to follow the entanglement dynamics of Grover's algorithm. We prove that this measure possesses almost all the properties expected of a good entanglement measure, including monotonicity. Finally, we extend this measure to N-qubit mixed states via convex roof construction and establish its various properties, including its monotonicity. We also introduce a related measure which has all properties of the above measure and is also additive.