A gradient estimator for Lie-symmetric PQCs expresses the gradient as a linear combination of Hadamard-test expectations whose coefficients are estimated via shadow tomography, yielding logarithmic shot scaling.
Generalized trotter s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
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Efficient Gradient Estimation for Parameterized Quantum Systems with Lie Algebraic Symmetries
A gradient estimator for Lie-symmetric PQCs expresses the gradient as a linear combination of Hadamard-test expectations whose coefficients are estimated via shadow tomography, yielding logarithmic shot scaling.