Variable length universal entanglement concentration by local operations and its application to teleportation and dense coding

Abstract

Using invariance of the $n$-th tensored state w.r.t. the $n$-th symmetric group, we propose a 'variable length' universal entanglement concentration without classical communication. Like variable length data compression, arbitrary unknown states are concentrated into perfect Bell states and not approximate Bell states and the number of Bell states obtained is equal to the optimal rate asymptotically with the probability 1. One of the point of our scheme is that we need no classical communication at all. Using this method, we can construct a universal teleportation and a universal dense coding.

LaTeX 11 pages

Cited by in corpus (7)

• Quantum Reverse Shannon Theorem
• Applications of coherent classical communication and the Schur transform to quantum information theory
• Exponents of quantum fixed-length pure state source coding
• Universal entanglement concentration
• General formulas for fixed-length quantum entanglement concentration
• Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
• A Classical Algorithm for Quantum $\text{SU}(2)$ Schur Sampling