Probabilistic reversibility under completely PPT-preserving operations

Determine whether probabilistic transformations can restore reversibility of PPT entanglement manipulation when the allowed operations are completely PPT-preserving.

Background

The paper establishes that asymptotic PPT entanglement manipulation remains irreversible even when arbitrary correlated catalysts are available and the operations are completely PPT-preserving. It contrasts this result with settings involving asymptotically resource-non-generating operations, where probabilistic protocols can restore reversibility.

Whether probabilistic protocols overcome the irreversibility under the stricter requirement of complete PPT preservation is explicitly left unresolved. Resolving this would clarify whether probabilistic assistance provides a qualitatively different route to reversibility in the PPT resource theory.

References

Whether probabilistic transformations can also restore reversibility when the allowed operations are required to be completely PPT-preserving remains open.

— PPT Entanglement with Correlated Catalysis: Monotones and Irreversibility  (2608.20063 - Ao et al., 20 Aug 2026) in Discussion section

Determining whether PPT entanglement becomes reversible under such probabilistic correlated-catalytic transformations would clarify how much additional freedom is actually required to overcome the irreversibility established here.

— PPT Entanglement with Correlated Catalysis: Monotones and Irreversibility  (2608.20063 - Ao et al., 20 Aug 2026) in Discussion section