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It is proved that this single-qubit re-uploading (serial) circuit represents every function that a multi-qubit circuit with the same encoding budget with the same encoding budget can; it is found that this exchange of width for depth is not free in first-order training.
A simple two-qubit reservoir is constructed that performs temporal recall exactly, while every fixed-window predictor faces the same positive worst-case error over unbounded delays, regardless of model capacity.
This work analyzes the effect of encoding discontinuities on diversity-driven discovery and introduces two representation refinements: a smooth, continuous mechanism for gate selection and a factorized representation that separates structural discovery from continuous parameter optimization.
We propose a compact NISQ-compatible quantum transformer architecture for synthetic QNLP sequence modelling. The model preserves the autoregressive next-token interface of a classical transformer, but replaces attention and feed-forward sublayers with variational quantum encoder blocks, connector circuits, decoder bloc...
For an open quantum reservoir, how the system forgets is part of how it computes. Quantum reservoir computing processes input streams with fixed quantum dynamics and trains only a linear readout. Dissipation can make old inputs fade, but prior studies commonly fix the environmental process and tune only its strength. H...
This work proposes a bilevel optimization model for diagonal cost Hamiltonians where coefficients depend on a tunable outer parameter and develops correlator-reuse implicit differentiation (CR-ID), which obtains outer gradients by reusing quantum measurements already collected during inner energy estimation, requiring...
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