Tight Reference Frame--Independent Quantum Teleportation
Dominic Verdon, Jamie Vicary

TL;DR
This paper presents a novel quantum teleportation protocol that operates without additional tokens or data, effectively handling misaligned reference frames using classical communication of unspeakable information.
Contribution
It introduces a tight, resource-efficient scheme for reference frame-independent quantum teleportation that requires no extra tokens or larger Hilbert spaces.
Findings
No additional tokens needed for teleportation
Same classical communication as standard teleportation
Resource entanglement size remains unchanged
Abstract
We give a tight scheme for teleporting a quantum state between two parties whose reference frames are misaligned by an action of a finite symmetry group. Unlike previously proposed schemes, ours requires no additional tokens or data to be passed between the participants; the same amount of classical information is transferred as for ordinary quantum teleportation, and the Hilbert space of the entangled resource is of the same size. In the terminology of Peres and Scudo, our protocol relies on classical communication of unspeakable information.
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