Which Codes Benefit Most from Erasure-Based Error Correction?

Systematic comparison of 7 quantum code families under erasure-biased noise

Key Findings

12.01
Highest Erasure Gain (HGP qLDPC)
0.3293
Best Mixed Threshold (Surface)
2.00x
Best Scaling Improvement (HGP)
7
Code Families Evaluated

Erasure Gain Ranking

Thresholds by Noise Model

Scaling Exponents

Erasure Fraction Sweep (p=0.01)

Complete Comparison Table

Code Pauli Thresh. Mixed Thresh. Erasure Gain Scaling (erasure) Scaling (Pauli) Scaling Ratio
Surface0.21630.32938.382.34661.35751.73
Rotated Surface0.21630.32938.382.34661.35751.73
Floquet0.06850.17340.98620.0000
Toric0.22160.15458.242.40351.41441.70
Color0.16870.28129.892.27371.23751.84
HGP (qLDPC)0.13800.278912.012.22041.10902.00
LP (qLDPC)0.13800.270011.252.23321.14131.96