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Optimal Quantum Circuit Design via Unitary Neural Networks
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The process of translating a quantum algorithm into a form suitable for implementation on a quantum computing platform is crucial but yet challenging. This entails specifying quantum operations with precision, a typically intricate task. In this paper, we present an alternative approach: an automated method for synthesizing the functionality of a quantum algorithm into a quantum circuit model representation. Our methodology involves training a neural network model using diverse input-output mappings of the quantum algorithm. We demonstrate that this trained model can effectively generate a quantum circuit model equivalent to the original algorithm. Remarkably, our observations indicate that the trained model achieves near-perfect mapping of unseen inputs to their respective outputs.
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Quantum Circuit Design using Complex valued Neural Network in Stiefel Manifold
A single-layer complex-valued neural network constrained to the Stiefel manifold via Cayley updates is used to learn and transpile quantum circuit unitaries, with fidelity reaching 1 on reported toy examples.
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