QIQG reading list

Reading lists for topics on the interface between quantum information theory and quantum gravity

(created for/by participants at the ASPEN workshop Quantum information in quantum gravity and condensed matter, 2011

Workshop lecture notes

Further reading on quantum information theory

Entanglement

How fast can information leave a black hole

Ads/CFT

I'd enjoy some good review articles, e.g.

  • The "MAGOO review". A fairly comprehensive review of the state of the art as of 1999. Includes a lot of background about the string and field theory side; I think the primary audience is probably string theory grad students.
  • Holographic duality with a view toward many-body physics, by John McGreevy. A more modern discussion with the goal of discussing applications to condensed matter problems; it has some very nice conceptual discussions about the correspondence along with the applications, and is meant for a cond-mat theory audience.
  • Insightful D-branes, Horowitz, Lawrence, and Silverstein. Constructs gauge theory observables which seem to capture the experience of infalling observers (for a particular black hole).

Large N as a classical limit

  • Large N limits as classical mechanics by Laurence Yaffe. Gives a general set of criteria for a classical limit and shows how large N theories fit in this framework.
  • The 1/N expansion in atomic and particle physics, Cargese lectures by Edward Witten (the web page has linked to scanned versions in various file formats).
  • For a general discussion of the large N limit in QFT, the lectures "1/N" in Sidney Coleman's book "Aspects of Symmetry" is a classic and a must-read.

BLACK-HOLE/QUBIT CORRESPONDENCE

REVIEW ARTICLES

http://arxiv.org/abs/1101.3559 http://arxiv.org/abs/0809.4685 http://cerncourier.com/cws/article/cern/42328

OTHER

http://arXiv.org/abs/arXiv:1102.4857 http://arxiv.org/abs/arXiv:1003.4255 http://arXiv.org/abs/arXiv:1002.4223 http://arXiv.org/abs/arXiv:0812.3322 http://arXiv.org/abs/arXiv:0903.5517 http://arXiv.org/abs/arXiv:0802.0840 http://arXiv.org/abs/arXiv:0704.0507 http://arXiv.org/abs/hep-th/0612036 http://arXiv.org/abs/quant-ph/0609227 http://arXiv.org/abs/hep-th/0602160 http://arXiv.org/abs/hep-th/0601134 http://arXiv.org/abs/1102.1193 http://arXiv.org/abs/1011.4180 http://arxiv.org/abs/0708.2799 http://arxiv.org/abs/hep-th/0610314 http://arxiv.org/abs/hep-th/0603136 http://arxiv.org/abs/hep-th/0602061

FOUR QUBIT ENTANGLEMENT

http://arxiv.org/abs/1001.3753 http://arXiv.org/abs/1004.3639 http://arXiv.org/abs/arXiv:1005.4915 http://arxiv.org/abs/1010.4219

SUPERQUBITS

http://arxiv.org/abs/0904.2512 http://arxiv.org/abs/1001.3753 http://arXiv.org/abs/arXiv:0908.0706

General Probabilistic Theories

Here are some places to start:

Tensor network states

There was a lot of interest in MERA and its relation to CFTs. There are the original papers by Vidal et al.

and one recent result how MERA in 2d is unfortunately not more powerful than PEPS.

Some more questions were related to parent hamiltonians of PEPS. There are a lot of related papers by e.g. Perez-Garcia et al. For example, see this one.

Last modified: 
Monday, October 26, 2015 - 17:56