Security Analysis

Finite-size security bounds and composable security analysis

Block Parameters

Security Parameters

Channel

0.089
Asymptotic Rate
0.072
Finite-Size Rate
19%
Finite-Size Penalty
10⁻¹⁰
Security Level

Asymptotic vs Finite-Size Key Rate

Key Rate vs Block Size

Security Parameter Breakdown

Finite-Size Corrections

Parameter estimation: -0.012
Privacy amplification: -0.005
Error correction leak: -0.003
Total correction: -0.020

Composable Security

Secrecy (ε_sec): 10⁻¹⁰
Correctness (ε_cor): 10⁻¹⁰
Smoothing (ε_s): 10⁻¹⁰
Total (ε_tot): 3×10⁻¹⁰

Attack Models

Collective Attacks

Eve performs identical operations on each signal independently. Security proven with Holevo bound χ_BE.

Practical for most implementations

Coherent Attacks

Eve can perform arbitrary joint operations on all signals. Requires de Finetti reduction with additional penalty.

Strongest security guarantee

Security Requirements