A Solution to High-Energy Quantum Gravity: AdS/CFT + Quantum Error Correcting Code = ???!

I went to a talk given by Daniel Harlow at Stanford last Thursday (2016 Oct) on Emergent Locality and Gravity & Quantum Error Correction. He started from summarizing the existing attempts to  solve the short distance quantum gravity problem including string theory and the attempt to quantize the metric as a local field. Then he moves on to BFSS Matrix Model + AdS/CFT correspondence. In the AdS/CFT, there are two paradoxes: one essentially concludes that all operators are trivial; the other says an operator that can’t be represented in regions A or B or C can be represented in regions A+B/B+C/C+A. How to solve the paradoxes? Quantum Error Correcting Code! Daniel finds the correspondence between a tessellation of a hyperbolic plane (representing operators I guess) and the classical solution to a quantum information problem. I haven’t fully understood his ideas yet, but I’ll try to read the following papers and update this blog post after I get some new understandings and have my questions answered!

Tensor Networks: https://arxiv.org/pdf/1503.06237.pdf

Operator, Energy, Black Hole: https://arxiv.org/pdf/1411.7041.pdf

String Theory, AdS/CFT: https://arxiv.org/abs/1409.1231

uniform_tiling_54-t2

Fun stuffs!

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s