Teleportation and entanglement distillation in the presence of correlation among bipartite mixed states

Abstract

The teleportation channel associated with an arbitrary bipartite state denotes the map that represents the change suffered by a teleported state when the bipartite state is used instead of the ideal maximally entangled state for teleportation. This work presents and proves an explicit expression of the teleportation channel for the teleportation using Weyl's projective unitary representation of the space of 2n-tuples of numbers from Z/dZ for integers d>1, n>0, which has been known for n=1. This formula allows any correlation among the n bipartite mixed states, and an application shows the existence of reliable schemes for distillation of entanglement from a sequence of mixed states with correlation.

arXiv comment12 pages, 1 figure

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Cited by in corpus (5)

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• Practical Evaluation of Security for Quantum Key Distribution
• Conjugate Codes and Applications to Cryptography
• Security of quantum key distribution protocol with two-way classical communication assisted by one-time pad encryption
• Notes on the Fidelity of Symplectic Quantum Error-Correcting Codes