Does the quantum linear equation solver satisfy this criteria ? It's symbolic 
in the same way as Sympy's linear equation solver. It's that instead of 
solutions to an equation it gives an operator from which one can extract 
properties of the solution vector. In that way it's symbolic rather than 
numeric in my opinion.

You can read about it here. 
https://en.m.wikipedia.org/wiki/Quantum_algorithm_for_linear_systems_of_equations

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