Quantum coherence in multipartite systems
By Yao Yao, X. Xiao, Li-Zhu Ge, Chang-pu Sun. 2015
305 citations recorded by the source corpus.
Within the unified framework of exploiting the relative entropy as a distance measure of quantum correlations, we make explicit the hierarchical structure of quantum coherence, quantum discord, and quantum entanglement in multipartite systems. On this basis, we define a basis-independent measure of quantum coherence and prove that it is exactly equivalent to quantum discord. Furthermore, since the original relative entropy of coherence is a basis-dependent quantity, we investigate the local and nonlocal unitary creation of quantum coherence, focusing on the two-qubit unitary gates. Intriguingly, our results demonstrate that nonlocal unitary gates do not necessarily outperform the local unitary gates. Finally, the additivity relationship of quantum coherence in tripartite systems is discussed in detail, where the strong subadditivity of von Neumann entropy plays an essential role.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/bdb1c2e3d4733b9443e913e790b6b5655677b9a7
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Quantum coherence and geometric quantum discord (2017, methodology): “By focusing on the two-qubit states only, and arranging δ’s diagonal elements as δ1 ≤ δ2 ≤ δ3 ≤ δ4 and taking the relative entropy as a measure of coherence, Yao et al. (2015) obtained solutions of Eq.”
- Quantum processes which do not use coherence (2015, background): “[23] Yao Yao, Xing Xiao, Li Ge, and CP Sun, “Quantum coherence in multipartite systems,” Physical Review A 92, 022112 (2015).”