Fetching the paper…

Reading the bibliography…

2008

Exact entanglement renormalization for string-net models

Koenig, Robert, Reichardt, Ben W., Vidal, Guifre

Original
PDF
Post on X

Understand

We construct an explicit renormalization group (RG) transformation for Levin and Wen's string-net models on a hexagonal lattice.

The transformation leaves invariant the ground-state "fixed-point" wave function of the string-net condensed phase.
Our construction also produces an exact representation of the wave function in terms of the multi-scale entanglement renormalization ansatz (MERA).
This sets the stage for efficient numerical simulations of string-net models using MERA algorithms.

Exact entanglement renormalization for string-net models · Around

Built on

X.-G. Wen, Advances in Physics 44
1992
Earlier work this paper cites.
S. Mac Lane, Categories for the working mathematician
1998
Earlier work this paper cites.
A. Kitaev, Ann. Phys. 303
2003
Earlier work this paper cites.
M. Freedman, A. Kitaev, M. Larsen and Z. Wang, Bull. Amer. Math. Soc. 40
Original
2003
Earlier work this paper cites.
M. Levin and X.-G. Wen, Phys. Rev. B 71
2005
Earlier work this paper cites.

Similar

A. Kitaev and J. Preskill, Phys. Rev. Lett. 96
2006
Cited alongside, same era.
M. Levin and X.-G. Wen, Phys. Rev. Lett., 96
2006
Cited alongside, same era.
S. Bravyi, M. Hastings and F. Verstraete, Phys. Rev. Lett. 97
2006
Cited alongside, same era.
A. Kitaev, Ann. Phys. 321
2006
Cited alongside, same era.
F. Wilczek, Phys. Rev. Lett. 49
2007
Cited alongside, same era.
G. Evenbly and G. Vidal, arXiv:0707.1454
Original
Cited in the paper.

Then

M. Levin and C. P. Nave, Phys. Rev. Lett. 99
2007
Later among the works it cites.
M. Freedman, Comm. Math. Phys. 2
2008
Closest in time.
G. Vidal, Phys. Rev. Lett. 99
2008
Closest in time.
M. Aguado and G. Vidal, Phys. Rev. Lett. 100
2008
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…