Schedule Mar 11, 2021
The infinite HaPPY code and the bulk reconstruction
Monica Kang, Caltech
Cite as: doi:10.26081/K6K339

I will construct an infinite-dimensional analog of the HaPPY code as a growing series of stabilizer codes defined respective to their Hilbert spaces. These Hilbert spaces are related by isometries that will be defined during this talk. I will analyze its system in various aspects and demonstrate, using an operator-algebraic perspective, that the bulk reconstruction is satisfied for the infinite-dimensional analogue of the HaPPY code. I will discuss its implications in AdS/CFT and further utilize this operator-algebraic approach to the approximate theorem between the bulk reconstruction and relative entropy equivalence.

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