# Non-Isometric Quantum Error Correction in Gravity

### APA

Kar, A. (2022). Non-Isometric Quantum Error Correction in Gravity. Perimeter Institute. https://pirsa.org/22110116

### MLA

Kar, Arjun. Non-Isometric Quantum Error Correction in Gravity. Perimeter Institute, Nov. 30, 2022, https://pirsa.org/22110116

### BibTex

@misc{ pirsa_22110116, doi = {10.48660/22110116}, url = {https://pirsa.org/22110116}, author = {Kar, Arjun}, keywords = {Quantum Gravity}, language = {en}, title = {Non-Isometric Quantum Error Correction in Gravity}, publisher = {Perimeter Institute}, year = {2022}, month = {nov}, note = {PIRSA:22110116 see, \url{https://pirsa.org}} }

Arjun Kar University of British Columbia

## Abstract

In the holographic approach to quantum gravity, quantum information theory plays a fundamental role in understanding how semiclassical gravity emerges from the microscopic description. The map (sometimes called the dictionary) between these two descriptions has the structure of a quantum error correcting code. In the context of an evaporating black hole, this code can be arbitrarily far from an isometry. Such codes are novel from a quantum information standpoint, and their properties are not yet well understood. I will describe a simple toy model of an evaporating black hole which allows for an explicit construction of the dictionary using the Euclidean gravity path integral. I will also describe the sense in which this dictionary is a non-isometric code, explain its basic properties, and comment on implications for semiclassical physics in the black hole interior.

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