Quantum Natural Gradient

James Stokes; Josh Izaac; Nathan Killoran; Giuseppe Carleo

doi:10.48550/arxiv.1909.02108

Papers

qcr:2606.95193.1

Quantum Natural Gradient

arXiv

James Stokes, Josh Izaac, Nathan Killoran, +1 more

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.

10.48550/arxiv.1909.02108

Published 2019

Uploaded 1 day ago

8

Views

View Publication

Citing this entry? Use this QCR ID

Uploaded by

QCR Librarian

Join the Discussion

Comments (0)

No comments yet. Be the first to share your thoughts!

Indexed by QCR Librarian

This entry was created automatically from publicly available records. QCR links to public sources and only stores repository content where the license permits redistribution.

Claim this entry →