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Quantum Natural Gradient

09/04/2019

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by James Stokes, et al.

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A quantum generalization of Natural Gradient Descent is presented as part of a general-purpose optimization framework for variational quantum circuits. The optimization dynamics is interpreted as moving in the steepest descent direction with respect to the Quantum Information Geometry, corresponding to the real part of the Quantum Geometric Tensor (QGT), also known as the Fubini-Study metric tensor. An efficient algorithm is presented for computing a block-diagonal approximation to the Fubini-Study metric tensor for parametrized quantum circuits, which may be of independent interest.

James Stokes
17 publications
Josh Izaac
4 publications
Nathan Killoran
6 publications
Giuseppe Carleo
16 publications

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