Shrinking of operators in quantum error correction and AdS/CFT

Abstract We first show that a class of operators acting on a given bipartite pure state on ℋ A ⊗ ℋ B can shrink its supports on ℋ A ⊗ ℋ B to only ℋ A or ℋ B while keeping its mappings. Using this result, we show how to systematically construct the decoders of the quantum error-correcting codes again...

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Bibliographic Details
Main Author: Hayato Hirai
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2019)128