Tensor Networks
MPS and MERA diagrams — bond dimension, contraction, and entanglement entropy
Network Diagram
Network:
MPS (Matrix Product State)
MPO (Matrix Product Operator)
PEPS (2D)
MERA (1-level)
Tree TN
Sites N
5
Bond dim χ
4
Contract
SVD Cut
Entanglement Entropy
Entanglement Entropy
State:
Product state
Random MPS
GHZ-like
Critical (c=1)
Compute EE
Select a network and click Contract or Compute EE.
MPS:
|ψ⟩=Σ A¹ᵢ¹·A²ᵢ²·…·Aᴺᵢᴺ |i₁…iᴺ⟩
Bond dim χ:
controls entanglement capacity
MERA:
multi-scale entanglement renormalization
EE:
S(A)=-Tr[ρ_A log ρ_A]≤χ·log(d)