Quantum Hall edge channels partition electric charge over $N$ chiral (unidirectional) modes. Intermode scattering leads to partition noise, observed in graphene p-n junctions. While inelastic scattering suppresses this noise by averaging out fluctuations, we show that pure (quasielastic) dephasing may enhance the partition noise. The noise power increases by up to 50% for two modes, with a general enhancement factor of $1+1/N$ in the strong-dephasing limit. This counterintuitive effect is explained in the framework of monitored quantum transport, arising from the self-averaging of quantum trajectories.

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• Open quantum systems & decoherence
• Quantum Hall effect
• Quantum channels
• Quantum transport
• Shot noise
• Graphene
• Random matrix theory
• S-matrix method in transport