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22.11.2018 (Thursday)

Holographic relative entropy in infinite-dimensional Hilbert spaces

Regular Seminar Monica Kang (Harvard)

at:
14:00 QMW
room G O Jones 610
abstract:

Quantum error correction provides a convenient setup where bulk operators are defined only on a code subspace of the physical Hilbert space of the conformal field theory. I will first reformulate entanglement wedge reconstruction in the language of operator-algebra quantum error correction with infinite-dimensional physical and code Hilbert spaces. I will streamline my proof that for infinite-dimensional Hilbert spaces, the entanglement wedge reconstruction is identical to the equivalence of the boundary and bulk relative entropies. I will discuss its implications for holographic theories with the Reeh-Schlieder theorem.