Abstract
We construct an optimal state merging protocol by adapting a recently-discovered optimal entanglement distillation protcol [Renes and Boileau, Phys. Rev. A. 73, 032335 (2008)]. The proof of optimality relies only on directly establishing sufficient “amplitude” and “phase” correlations between Alice and Bob and not on usual techniques of decoupling Alice from the environment. This strengthens the intuition from quantum error-correction that these two correlations are all that really matter in two-party quantum information processing.
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Boileau, JC., Renes, J.M. (2009). Optimal State Merging without Decoupling. In: Childs, A., Mosca, M. (eds) Theory of Quantum Computation, Communication, and Cryptography. TQC 2009. Lecture Notes in Computer Science, vol 5906. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10698-9_8
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DOI: https://doi.org/10.1007/978-3-642-10698-9_8
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