A parameterized quantum embedding can be trained to make a circuit output invariant under a finite group, which the authors interpret as learning an equivariant map between representations.
Equivalence of quantum barren plateaus to cost concentration and narrow gorges
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Learning Equivariant Maps with Variational Quantum Circuits
A parameterized quantum embedding can be trained to make a circuit output invariant under a finite group, which the authors interpret as learning an equivariant map between representations.