PPT entanglement with correlated catalysis: Monotones and Irreversibility Despite powerful quantum tools allowing seemingly impossible state changes, inherent limits to manipulating entangled systems persist. This work resolves a long-standing challenge by proving additivity and strong superadditivity of regularized PPT relative entropy, surpassing previous methods lacking systematic monotones valid under correlated catalysis. Consequently, even extensive catalytic assistance cannot fully reverse information loss in complex entangled states.
Catalysts Fail to Overcome Core Limits on Quantum State Transformation
PPT entanglement with correlated catalysis: Monotones and Irreversibility Despite powerful quantum tools allowing seemingly impossible state changes, inherent limits to manipulating entangled systems persist. This work resolves a long-standing challenge by proving additivity and strong superadditivity of regularized PPT relative entropy, surpassing previous methods lacking systematic monotones valid under correlated catalysis. Consequently, even extensive catalytic assistance cannot fully rev...