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This work identifies sufficient conditions under which the adjoint field required for formally exact gradients can be generated on the same hardware that performs the computation, and shows that reciprocity is a special case of more general intertwining conditions.
Directional amplification, in which signals are amplified selectively depending on their propagation direction, is a key resource for quantum information processing and stands in one-to-one correspondence with non-trivial non-Hermitian topology. So far, this correspondence has concerned the mean fields, and thus classi...
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