Geometric global quantum discord of two-qubit X states
arXiv:1406.1964 · doi:10.1007/s10773-015-2823-8
Abstract
Xu [Jianwei Xu, J. Phys. A: Math. Theor. 45 405304 (2012)] generalized geometric quantum discord [B.Dakic, V. Vedral, and C . Brukner, Phys. Rev. Lett. 105 190502 (2010)] to multipartite states and proposed the geometric global quantum discord. In this paper, we first derive the analytical formulas of the geometric global quantum discord and geometric quantum discord for two-qubit X states, respectively. Second, we give five concrete examples to demonstrate the use of our formulas. Finally, we prove that the geometric quantum discord is a tight lower bound of the geometric global quantum discord.
1. We pointed out that the geometric global quantum discord and the total quantum correlations are identical; 2. We have added references [14] and [45]; 3. we have corectted some English spelling and writing
References in corpus (9)
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Experimental quantum computing without entanglement
- Tight lower bound on geometric discord of bipartite states
- Global Quantum discord of multi-qubit states
- The geometric approach to quantum correlations: Computability versus reliability
- Analytical progress on symmetric geometric discord: Measurement-based upper bounds
- Generalized Entropy and Global Quantum Discord in Multi-party Quantum systems
- Theoretical insights on measuring quantum correlations