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Reconstruction of Spacetime Geometry from Quantum Entanglement

Charles Cao, Caltech
Wednesday, April 18, 2018 - 4:00pm to 5:00pm
PDL C-36

We study the recent progress of reconstructing geometry from quantum entanglement and, more generally, quantum information. First I will discuss the better-understood context of the AdS/CFT correspondence, which is related to a number of inverse problems, such as boundary rigidity. I will also discuss a more general approach of geometrizing quantum mechanics, and show that one can find features of gravity and geometry from certain quantum systems.  Specifically, given only a quantum state and a Hilbert space factorization, the approximate structure and best-fit dimensionality of the emergent geometry can be determined from an amorphous configuration of quantum degrees of freedom.  Techniques such as Radon transform can be used to facilitate the recovery of metric tensors or features of linearized gravity.

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