Table 2 Application scope of catalysts

From: Teleportation with embezzling catalysts

Quantum tasks

Correlated catalyst

Embezzling catalyst

  

Convex-split lemma

Embezzling states

Coherence distillation

73

23

23

Entanglement distillation

68

√

11

Quantum teleportation

8

√

√

Quantum communication

77

⋆

⋆

Superdense coding

?

×

⋆

  1. The check marks indicate the tasks that will be explored and addressed in this work, while the star marks represent tasks slated for investigation and resolution in our upcoming work61. The cross indicates that the convex-split-lemma-assisted protocol does not work for superdense coding, while the question mark signifies that it is still unknown whether correlated catalysts exist for superdense coding.
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