# Robustness of Noether's principle: Maximal disconnects between conservation laws and symmetries in quantum theory.

@article{Cirstoiu2019RobustnessON, title={Robustness of Noether's principle: Maximal disconnects between conservation laws and symmetries in quantum theory.}, author={C. Cirstoiu and K. Korzekwa and D. Jennings}, journal={arXiv: Quantum Physics}, year={2019} }

To what extent does Noether's principle apply to quantum channels? Here, we quantify the degree to which imposing a symmetry constraint on quantum channels implies a conservation law, and show that this relates to physically impossible transformations in quantum theory, such as time-reversal and spin-inversion. In this analysis, the convex structure and extremal points of the set of quantum channels symmetric under the action of a Lie group~$G$ becomes essential. It allows us to derive bounds… Expand

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