Edge-sensitive, state-based single flux quantum (SFQ) based circuitry and related methods convert return-to-zero (RZ) or non-return-to-zero (NRZ) encoded SFQ-pulse-based signals to bilevel NRZ phase signals that can subsequently be converted to bilevel voltage signals by an output amplifier (OA). The SFQ-based circuitry can be integrated with a current amplification stage of a driver that can be coupled to a stage of the OA. The SFQ-based circuitry can be made to be compatible with RQL-encoded input signals that can be either RZ or NRZ. The SFQ-based circuitry can thus be compatible with both wave-pipelined (WPL) and phase-mode (PML) RQL circuitry. Because the SFQ-based circuitry and related methods are edge-sensitive and state-based, they can function at system clock rates in excess of 1 GHz with reduced glitches and improved bit error rates as compared to other superconducting RZ-NRZ conversion circuitry and methods.