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| The Rindler-wedge reconstruction - Source: Quantum Frontiers |
Topics: Condensed Matter Physics, Geodesic, High Energy Physics, Quantum Gravity, Quantum Information, Quantum Mechanics
Note: The original title of the post in Quantum Frontiers by Dr. Beni Yoshida is: "Quantum gravity from quantum error-correcting codes?" I reduced it out of brevity for the URL auto-generated in Blogger. The rest of his brilliant insights are at the link below (same original title). The gist: quantum information theory could have applications in describing other usually disparate phenomena in things like high energy (particle) physics; black holes, wormholes, which are themselves extreme expressions of gravity on the large scale. There has been a search in physics for a "unified theory" since Einstein that describes both gravity (large scale) and quantum phenomena (small scale), thus quantum gravity. It's self-admitted by Dr. Yoshida in his enthusiam a long post, and an even longer paper (65 pages). Luckily, my printer prints on both sides. Offline, it's what I'll be reading this weekend...
The lessons we learned from the Ryu-Takayanagi formula, the firewall paradox and the ER=EPR conjecture have convinced us that quantum information theory can become a powerful tool to sharpen our understanding of various problems in high-energy physics. But, many of the concepts utilized so far rely on entanglement entropy and its generalizations, quantities developed by Von Neumann more than 60 years ago. We live in the 21st century. Why don’t we use more modern concepts, such as the theory of quantum error-correcting codes?
In a recent paper with Daniel Harlow, Fernando Pastawski and John Preskill, we have proposed a toy model of the AdS/CFT correspondence based on quantum error-correcting codes. Fernando has already written how this research project started after a fateful visit by Daniel to Caltech and John’s remarkable prediction in 1999. In this post, I hope to write an introduction which may serve as a reader’s guide to our paper, explaining why I’m so fascinated by the beauty of the toy model.
Quantum Frontiers: Quantum gravity from quantum error-correcting codes? Dr. Beni Yoshida
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