Concept record · edition 0.1.0
MERA
A multiscale entanglement renormalization ansatz: a layered network alternating disentanglers and isometries, coarse-graining a system scale by scale.
Why it matters
It captures the logarithmic entanglement scaling of critical systems that a plain tree network cannot reach.
What this does not establish
Its cost prefactor is high and its higher-dimensional generalization is substantially harder than the one-dimensional case.
Claims using this concept
- tn-005 · ConjectureThe reading of a MERA network as a discretized holographic geometry is a proposed correspondence, not a derived one, and published work argues its consistency conditions are in tension.
- tn-006 · Established resultMERA introduces disentanglers before coarse-graining, allowing it to reproduce the entanglement scaling of critical systems that a tree tensor network cannot.
Sources
primary paper · identifier verified
Entanglement renormalization
Guifré Vidal · 2005
arXiv:cond-mat/0512165
Introduces entanglement renormalization and the disentangler that distinguishes MERA from a plain tree network.
Source record →primary paper · identifier verified
A class of quantum many-body states that can be efficiently simulated
G. Vidal · 2006
arXiv:quant-ph/0610099
Primary source for the MERA ansatz and its efficient contraction, including the scale-invariant construction.
Source record →