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papers/lux-privacy-pool/sections/10-comparison-with-existing-systems.tex
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\section{Comparison with Existing Systems}
\label{sec:comparison}
\begin{table}[H]
\centering
\caption{Privacy protocol comparison.}
\label{tab:comparison}
\begin{tabular}{p{2.2cm}p{1.8cm}p{1.8cm}p{1.8cm}p{2cm}p{2cm}}
\toprule
\textbf{System} & \textbf{Privacy} & \textbf{Compliance} & \textbf{Proof} & \textbf{Verify Gas} & \textbf{Multi-chain} \\
\midrule
Lux Pools & Strong & ASP-based & Groth16 & 326K & Yes (Warp) \\
Tornado Cash & Maximum & None & Groth16 & $\sim$500K & No \\
Privacy Pools (Eth) & Strong & ASP-based & Groth16 & $\sim$500K & No \\
Aztec & Strong & Limited & PLONK & $\sim$350K & No \\
Zcash & Maximum & Opt-in & Groth16 & N/A (native) & No \\
Railgun & Strong & Limited & Groth16 & $\sim$450K & No \\
\bottomrule
\end{tabular}
\end{table}
\subsection{Key Advantages}
\paragraph{Versus Tornado Cash.} Tornado Cash provides maximum privacy but zero compliance, leading to sanctions. Lux Privacy Pools provide strong privacy with regulatory compatibility.
\paragraph{Versus Ethereum Privacy Pools.} The core protocol is similar, but Lux's BLS12-381 precompile reduces verification cost by 35\%. Multi-chain support via Warp merges anonymity sets across appchains.
\paragraph{Versus Aztec.} Aztec provides a full private execution environment but is limited to a single chain. Lux Privacy Pools are simpler (privacy for transfers only) but composable across appchains.