Abstract Quantum architecture search (QAS) is the process of automating engineering quantum circuits. It has been desired to construct a powerful and general QAS platform which can significantly accelerate current efforts identify advantages error-prone depth-limited circuits in NISQ era. Hereby, we propose framework differentiable (DQAS), enables automated designs an end-to-end fashion. We pre...

Canonical Correlation Analysis (CCA) computes maximally-correlated linear projections of two modalities. We propose Differentiable CCA, a formulation of CCA that can be cast as a layer within a multi-view neural network. Unlike Deep CCA, an earlier extension of CCA to nonlinear projections, our formulation enables gradient flow through the computation of the CCA projection matrices, and free ch...

It is folklore knowledge amongst general relativists that horizons are well behaved, continuously differentiable hypersurfaces except perhaps on a negligible subset one needs not to bother with. We show that this is not the case, by constructing a Cauchy horizon, as well as a black hole event horizon, which contain no open subset on which they are differentiable.