Entanglement Entropy
random-matrix-quantum · 37 views
random-matrix-quantumstochastic
What It Is
Page curve entanglement entropy of random bipartite states --- ⟨S⟩ ≈ log(d_A) - d_A/(2d_B)
Interpretation
Standard analysis sees: left-skewed; aperiodic / broadband; high-complexity (noise-like). The atlas detects no named structure beyond this. It sits beside GUE Spacings in the atlas (standard-bank rank 44) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.67
asymmetry0.07
occupancy0.53
short-range corr0.31
long-range memory0.35
spectral colour0.69
periodicity0.10
complexity0.98
time-irreversibility0.40
volatility clustering0.17
multifractality0.21
dimensionality0.82
nonstationarity0.37
What the atlas adds
Nothing beyond the standard reading — this source’s structure is already captured by standard features; the atlas adds no named residual.
Composition
dtypefloat64
range[0.7403, 1.353]
unique values16384 / 16384
mean ± std1.15 ± 0.0719
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > free_plate_nodal
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Entanglement_Entropy.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Entanglement_Entropy.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Entanglement_Entropy.png)
Inflation (Substitution) > barcode
/d_curve/Entanglement_Entropy.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/Entanglement_Entropy.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/Entanglement_Entropy.png)
Ulam Spiral (Sacks) > default
/default/Entanglement_Entropy.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Gaussian Noise | 2.60 | cross-origin |
| Neural Net (Dense) | 2.91 | cross-origin |
| GUE Spacings | 2.94 |
Which Geometries Light Up
Attractor Reconstruction › Attractor Reconstruction:embedding_spread_dimension | rank 5/306 | 4.1843 |
Catch24 › Catch24:SB_MotifThree_quantile_hh | rank 4/306 | 2.1971 |
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