HomeQuantum PhysicsHolographic Entanglement Entropy

Holographic Entanglement Entropy

Interactive tensor-network simulator: pick a region of a boundary of qubits and watch a 3D bulk network compute its entanglement entropy as the minimal cut through the network — the Ryu-Takayanagi surface behind the idea of emergent spacetime.

Quantum Physics3DAdvanced60 FPS📱 Mobile-adapted
physics-transcendence ↗ Open standalone

This simulator builds a real MERA-style tensor network — a binary tree of entangled bulk nodes rising above a ring of boundary qubits — and computes the exact entanglement entropy of any contiguous boundary region as a discrete Ryu–Takayanagi surface: the minimal set of bulk bonds you must sever to disconnect that region from the rest, found with a genuine Edmonds–Karp max-flow / min-cut computation rather than an approximation. Pick the region's size and position, change the network's depth or bond dimension, and watch the cut (in red) reshape itself while the live entropy readout tracks it exactly — a hands-on look at how "emergent spacetime" ideas turn quantum entanglement into geometry.

⚙ Under the hood

Build a 3D tensor-network model of the AdS/CFT correspondence and compute the exact entanglement entropy of a boundary region as a minimal-cut Ryu-Takayanagi surface through the bulk.

holographyentanglementquantum-gravitytensor-networkAdS/CFTemergent-spacetime

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install

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