Non-Isometric Quantum Error Correction in Gravity


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


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


          @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

Talk Type Scientific Series


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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