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We have investigated the effects of quantum fluctuations of quasiparticles onthe operation of superconducting radio-frequency single-electron transistors(RF-SETs) for large values of the quasiparticle cotunneling parameter$\alpha=8E_{J}/E_{c}$, where $E_{J}$ and $E_{c}$ are the Josephson and chargingenergies. We find that for $\alpha>1$, subgap RF-SET operation is stillfeasible despite quantum fluctuations that renormalize the SET charging energyand wash out quasiparticle tunneling thresholds. Surprisingly, such RF-SETsshow linearity and signal-to-noise ratio superior to those obtained whenquantum fluctuations are weak, while still demonstrating excellent chargesensitivity.Comment: Submitted to Phys. Rev. Let

Sensitivity and Linearity of Superconducting Radio-Frequency Single-Electron Transistors: Effects of Quantum Charge Fluctuations