Softmax attention on the probability simplex is exactly realized by a quantum circuit where scores are Hadamard-test estimates, the softmax is Born-rule readout, temperature is measurement repetition, and the residual is an ancilla angle.
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A Quantum Roadmap for Softmax Attention: Exact Born-Rule Analogs for Softmax Attention on the Probability Simplex
Softmax attention on the probability simplex is exactly realized by a quantum circuit where scores are Hadamard-test estimates, the softmax is Born-rule readout, temperature is measurement repetition, and the residual is an ancilla angle.