Entanglement Entropy

Bipartite entanglement entropy S = −Tr(ρ_A log ρ_A) measures quantum correlations. Area law (gapped): S ~ L^(d-1). Volume law (random): S ~ L^d. Explore different quantum states.

State Type

S = —
S_max = —
Schmidt rank: —
Entanglement Entropy

Schmidt decomp: |ψ⟩ = Σ λᵢ|aᵢ⟩|bᵢ⟩

S = −Σ λᵢ² log λᵢ²

Area law (gapped 1D): S ≤ const
Volume law (random): S ~ n/2 log 2

Max entropy: log(min(d_A,d_B))