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Quantum computing architectures rely on classical electronics for control andreadout. Employing classical electronics in a feedback loop with the quantumsystem allows to stabilize states, correct errors and to realize specificfeedforward-based quantum computing and communication schemes such asdeterministic quantum teleportation. These feedback and feedforward operationsare required to be fast compared to the coherence time of the quantum system tominimize the probability of errors. We present a field programmable gate array(FPGA) based digital signal processing system capable of real-time quadraturedemodulation, determination of the qubit state and generation ofstate-dependent feedback trigger signals. The feedback trigger is generatedwith a latency of $110\,\mathrm{ns}$ with respect to the timing of the analoginput signal. We characterize the performance of the system for an active qubitinitialization protocol based on dispersive readout of a superconducting qubitand discuss potential applications in feedback and feedforward algorithms.

Low-Latency Digital Signal Processing for Feedback and Feedforward in Quantum Computing and Communication