First commuting operator self-test for exact entanglement embezzlement with no tensor-product realization. Combines Feige's game with tilted CHSH in novel framework requiring infinite-dimensional shared resource space.

First commuting operator self-test for exact entanglement embezzlement with no tensor-product realization. Combines Feige's game with tilted CHSH in novel framework requiring infinite-dimensional shared resource space.
Reduced 6D to 5D game proving robust self-testing of nonmaximally entangled states. Shows no maximally entangled state can achieve perfect play, advancing device-independent quantum certification.
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