Role of scrambling and noise in temporal information processing with quantum systems

Understand

Scrambling quantum systems have attracted attention as effective substrates for temporal information processing.

• Here we consider a quantum reservoir processing framework that captures a broad range of physical computing models with quantum systems.
• We examine the scalability and memory retention of the model with scrambling reservoirs modelled by high-order unitary designs in both noiseless and noisy settings.
• In the former regime, we show that measurement readouts become exponentially concentrated with increasing reservoir size, yet strikingly do not worsen with the reservoir iterations.