Geometric interpretation of the geometric discord
arXiv:1303.4827 · doi:10.1016/j.physleta.2011.11.047
Abstract
We investigate the level surfaces of geometric measure of quantum discord, and provide a pictorial interpretation of geometric discord for Bell-diagonal states. We have observed its nonanalytic behavior under decoherence employing this approach and interestingly found if we expect geometric discord to remain constant under phase-flip channel for a finite period, the initial state must be separable. Besides, this geometric understanding can be applied to verify the hierarchical relationships between geometric discord and the original one. The present work makes us conjecture that the incompatibility of these two definitions may originate from the discrepancy of the geometric structures of them.
arXiv commentPublished version. 12 pages, 20 figures
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Cited by in corpus (10)
- Quantum discord and its allies: a review
- Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
- One-norm geometric quantum discord under decoherence
- Long-range quantum discord in critical spin systems
- Decoherence dynamics of geometric measure of quantum discord and measurement-induced nonlocality for noninertial observers at finite temperature
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