Geometric global quantum discord

2012/05/07 by Jianwei Xu
Computer Science · Physics and Astronomy · #Bipartite graph #Geometric phase #Measure (data warehouse) #Multipartite #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum discord #Quantum entanglement #Quantum state #quant-ph

paper · pdf · doi:10.1088/1751-8113/45/40/405304

published as J. Phys. A: Math. Theor. 45 (2012) 405304 · 8 pages,no figure;added a lower bound for GGQD to version 1

arxiv created 2012/05/07 · openalex publication_date 2012/09/19 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Geometric quantum discord, proposed by Dakic et al (2010 Phys. Rev. Lett. 105 190502), is an important measure for bipartite correlations. In this paper, we generalize it to multipartite states, we call the generalized version geometric global quantum discord (GGQD). We characterize GGQD in different ways, give a lower bound for GGQD and provide some special states which allow analytical GGQD.

Citations

• Tight lower bound on geometric discord of bipartite states
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Bloch vectors for qudits
• Quantum Correlation without Classical Correlations
• Classical, quantum and total correlations
• Multiparty correlation measure based on the cumulant
• Distributed Entanglement
• Quantum entanglement
• Entanglement detection