Fig. 3: Visualization of the trade-off relations.
From: Experimental study of quantum coherence decomposition and trade-off relations in a tripartite system
The ratio between the different pairs of coherences and monogamy of coherence is shown in a Hamiltonian Hzz and b Hamiltonian Hzzz as a function of interaction parameters. The points represent the experimental data and the solid lines correspond to the theoretical calculation. c,d Geometric plots of the coherence in three-dimensional Euclidean space for the Hzz and Hzzz, respectively, for the values of interaction parameters as marked (top to bottom). The lengths of the edges are taken to be the coherence contributions as shown in Fig. 1b. The coordinates of the state ρ are (0, 0, 0); [π(ρ)]d is \(({{{{\mathcal{C}}}}}_{{{{\rm{A}}}}},0,0)\); π(ρ) is \(({{{{\mathcal{C}}}}}_{{{{\rm{G}}}}}\cos \theta ,{{{{\mathcal{C}}}}}_{{{{\rm{G}}}}}\sin \theta ,0)\); ρ1 ⊗ ρ12 is \(({{{{\mathcal{C}}}}}_{1:23}\cos \phi ,{{{{\mathcal{C}}}}}_{1:23}\sin \phi \cos \xi ,{{{{\mathcal{C}}}}}_{1:23}\sin \phi \sin \xi )\), where the angles are chosen to match the coherences as in Fig. 1b.
