Generalized teleportation and entanglement recycling

Abstract

We introduce new teleportation protocols which are generalizations of the original teleportation protocols that use the Pauli group [Bennett, et al. Physical Review Letters, 70(13) 1895-1899] and the port-based teleportation protocols, introduced by Hiroshima and Ishizaka [Physical Review Letters, 101(24) 240501], that use the symmetric permutation group. We derive sufficient condition for a set of operations, which in general need not form a group, to give rise to a teleportation protocol and provide examples of such schemes. This generalization leads to protocols with novel properties and is needed to push forward new schemes of computation based on them. Port-based teleportation protocols and our generalizations use a large resource state consisting of N singlets to teleport only a single qubit state reliably. We provide two distinct protocols which recycle the resource state to teleport multiple states with error linearly increasing with their number. The first protocol consists of sequentially teleporting qubit states, and the second teleports them in a bulk.

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• Multiport based teleportation -- transmission of a large amount of quantum information
• Simple and Tighter Derivation of Achievability for Classical Communication over Quantum Channels
• Optimal Multi-port-based Teleportation Schemes
• What is the best way to teleport a qudit?
• Minimal Port-based Teleportation
• From port-based teleportation to Frobenius reciprocity theorem: partially reduced irreducible representations and their applications
• Quantum Advantage in Storage and Retrieval of Isometry Channels
• Square-root measurements and degradation of the resource state in port-based teleportation scheme
• Planar two-region multi-partite maximally entangled states
• A resource theory of asynchronous quantum information processing