2014/08/01 by Bao Liu, Zheng Hu, Xi-Wen Hou
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Bipartite graph #Combinatorics #Computer science #Hilbert space #Mathematics #Measure (data warehouse) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Quantum state #Qubit #Qutrit #State (computer science)
paper · doi:10.1142/s0219749914500270
crossref issued 2014/08/01 · crossref published 2014/08/01 · crossref published-print 2014/08/01 · openalex publication_date 2014/08/01 · crossref created 2014/08/25 · crossref published-online 2014/11/07 · crossref deposited 2019/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26 · crossref indexed 2026/08/03
The characterization of quantum discord (QD) and geometric discord (GD) has mostly concentrated on two-qubit states since the minimization in both discords is a daunting task for high-dimensional states. Numerical calculations of both discords are carried out for a generic bipartite state. When one-dimensional orthogonal projectors for a local measurement on n-dimensional Hilbert space are realized by the generators and the Euler angles of SU (n), the optimal measurements have a figure of merit that includes n(n - 1) Euler parameters. As an representative example, such projectors and two kinds of algorithms are used to estimate both discords for two-qutrit mixed states in recent literature. The generalized negativity as a measure of quantum entanglement is calculated for reference purposes. For those states with one parameter the discords and the negativity respectively display the nonlinear and the linear function of the parameter, with different turning points. However, they are positively correlated in the suitable ranges of the parameter for those states. The hierarchy of those quantities is discussed as well. Those shed new light on the understanding of QDs and quantum entanglement of mixed states in high-dimensions.