Real-space RG, error correction and Petz map

Understand

There are two parts to this work: First, we study the error correction properties of the real-space renormalization group (RG).

• The long-distance operators are the (approximately) correctable operators encoded in the physical algebra of short-distance operators.
• This is closely related to modeling the holographic map as a quantum error correction code.
• As opposed to holography, the real-space RG of a many-body quantum system does not have the complementary recovery property.