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Holographic Entanglement Entropy (2D)

Interactive 2D tensor-network diagram: pick a region of a boundary of qubits and watch a flat MERA tree compute its entanglement entropy as the minimal cut through the network — the Ryu-Takayanagi surface behind the idea of emergent spacetime, drawn as a Poincare-disk-style radial graph you can pan and zoom.

Quantum Physics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version
2d-physics-transcendence ↗ Open standalone

This is the flat 2D sibling of the 3D holographic tensor-network simulator: the same MERA-style binary tree of entangled bulk nodes above a ring of boundary qubits, drawn here as a radial Poincaré-disk-style diagram you pan and zoom instead of orbit. It 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.

⚙ Under the hood

Watch a flat, radial MERA tensor-network diagram compute the exact entanglement entropy of a chosen boundary region as a minimal-cut Ryu-Takayanagi surface through the bulk, found with a real Edmonds-Karp max-flow solve — pan and zoom the same network the 3D version orbits.

holographyentanglementquantum-gravitytensor-networkAdS/CFTemergent-spacetimemax-flow-min-cut

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install

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