QIQG reading list

Fri, 23/10/2015 - 17:53 by Anonymous

== 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'''
  • [http://www.cs.mcgill.ca/~patrick/Aspen2011.pdf Patrick Hayden's lecture notes on quantum information theory]
'''Further reading on quantum information theory'''
  • [http://www.theory.caltech.edu/%7Epreskill/ph219/index.html#lecture John Preskill's lecture notes on quantum computation], Particularly good on quantum error correction, fault-tolerance and topological quantum computation
  • [http://arxiv.org/abs/quant-ph/0410091 On the quantum, classical and total amount of correlations in a quantum state], Groisman, Popescu and Winter (2004): Contains the demonstration that mutual information governs how much noise is required to eliminate correlations
  • [http://arxiv.org/abs/quant-ph/0702005 A decoupling approach to the quantum capacity], Hayden, Horodecki, Yard and Winter (2007): A demonstration that random subspaces give good quantum error correcting codes
'''Entanglement'''
  • [http://arxiv.org/abs/quant-ph/0702225 Horodeckis review on entanglement (RMP)]
'''How fast can information leave a black hole'''
  • [http://arxiv.org/abs/hep-th/9306083 Information in Black Hole Radiation], Don Page (1993): If quantum gravity is unitary, information should come out of a black hole after half the photons have been emitted.
  • [http://arxiv.org/abs/hep-th/9209058 Review article by John Preskill] (1992)
  • [http://arxiv.org/abs/hep-th/0507287 Information locking in black holes], Smolin and Oppenheim (2005): information can come out at the very end, without the usual difficulties associated with remnants.
  • [http://arxiv.org/abs/0708.4025 Black holes as mirrors: quantum information in random subsystems], Preskill and Hayden (2007): information can leave black holes almost instantaneously
  • [http://xxx.soton.ac.uk/abs/0808.2096 Fast Scramblers], Sukino and Susskind (2008): How fast can black holes scramble/thermalize information?
'''Ads/CFT''' I'd enjoy some good review articles, e.g.
  • [http://arxiv.org/abs/hep-th/9905111 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.
  • [http://arxiv.org/pdf/0909.0518v3 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.
  • [http://arXiv.org/pdf/0904.3922 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'''
  • [http://rmp.aps.org/abstract/RMP/v54/i2/p407_1 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.
  • [http://ccdb4fs.kek.jp/cgi-bin/img_index?8002242 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:
  • [http://www.nature.com/nphys/journal/v1/n1/full/nphys134.html Gilles Brassard, Is Information the Key?, Nature Physics (2005)]. A non-technical survey over some ideas and (not so recent) results. Nice read.
  • [http://arxiv.org/abs/quant-ph/0508211 J. Barrett, Information Processing in General Probabilistic Theories (2005)]. A great introduction to the framework. On p.10, an example of a post-quantum PR-box state.
  • [http://arxiv.org/abs/0909.5075 H. Barnum et al., Entropy and Information Causality in General Probabilistic Theories (2009)]. These more general theories also have a notion of entropy. This paper is a bit more technical, but can be browsed quickly to get an overview.
  • Papers that derive quantum theory (in this framework) from simple physical axioms can be found [http://arxiv.org/abs/quant-ph/0101012 here] (L. Hardy, 2001) and [http://arxiv.org/abs/1004.1483 here] (shorter, fewer axioms, 2010). The goal is to find simple modifications of quantum theory.
'''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.
  • about MERA [http://arxiv.org/abs/quant-ph/0610099 in 1d]
  • about MERA [http://arxiv.org/abs/0811.0879 in 2d]
  • about MERA [http://arxiv.org/abs/0810.0580 and CFT]
and one recent result how MERA [http://arxiv.org/abs/quant-ph/0610099 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 [http://arxiv.org/abs/0707.2260 this one.]