Evaluating the Robustness of k-Coherence and k-Entanglement
Abstract:
We show that two related measures of k-coherence, called the standard and generalized robustness of k-coherence, are equal to each other when restricted to pure states. As a direct application of the result, we establish an equivalence between two analogous measures of Schmidt rank k-entanglement for all pure states. This answers conjectures raised in the literature regarding the evaluation of the quantifiers and facilitates an efficient quantification of pure-state resources by introducing computable closed-form expressions for the two measures.
Authors:
- Nathaniel Johnston
- Chi-Kwong Li
- Sarah Plosker
- Yiu-Tung Poon
- Bartosz Regula
Download:
- Official publication from Physical Review A
- Preprint from arXiv:1806.00653 [quant-ph]
- Local preprint [pdf]
Cite as:
- N. Johnston, C.-K. Li, S. Plosker, Y.-T. Poon, and B. Regula. Evaluating the robustness of k-coherence and k-entanglement. Physical Review A, 98:022328, 2018.