Balanced partial entanglement and the entanglement wedge cross section

A bstract In this article we define a new information theoretical quantity for any bipartite mixed state ρ AB . We call it the balanced partial entanglement (BPE). The BPE is entropy, which an integral of contour in subregion, that satisfies certain balance requirements. depends on purification hence not intrinsic. However, could be useful way to classify purifications. discuss entropy relations satisfied by and find they are quite similar those purification. show holographic CFT 2 equals area wedge cross section (EWCS) divided 4G. More interestingly, when consider canonical just half reflected also directly relate EWCS. can considered as generalization generic interpret correspondence between EWCS using picture contour.