Catalytic quantum teleportation and beyond
Patryk Lipka-Bartosik, Paul Skrzypczyk

TL;DR
This paper introduces a novel quantum teleportation protocol utilizing catalytic entanglement, enabling noiseless quantum channel simulation and demonstrating genuine advantages of entanglement catalysis in quantum information processing.
Contribution
It develops a new teleportation protocol using ancillary entanglement catalysis and shows its advantages over traditional methods, including noiseless channel simulation and activation of passive states.
Findings
Catalytic entanglement enables noiseless quantum channel simulation.
Entanglement catalysis provides genuine advantages in quantum information tasks.
Catalysts can activate passive states in quantum thermodynamics.
Abstract
We address fundamental limitations of quantum teleportation -- the process of transferring quantum information using classical communication and preshared entanglement. We develop a new teleportation protocol based upon the idea of using ancillary entanglement catalytically, i.e. without depleting it. This protocol is then used to show that catalytic entanglement allows for a noiseless quantum channel to be simulated with a quality that could never be achieved using only entanglement from the shared state, even for catalysts with a small dimension. On the one hand, this allows for a more faithful transmission of quantum information using generic states and a fixed amount of consumed entanglement. On the other hand, this shows, for the first time, that entanglement catalysis provides a genuine advantage in a generic quantum-information processing task. Finally, we show that similar ideas…
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