3 problems

Symmetric-operator commutant conjecture. The operators $T_\mu$ generate all the symmetric algebra $\mathfrak A_f$. Equivalently, for

Let $d$ parties share the multiqudit Slater state $\ket{\Psi_{\mathrm S}}$, and let $S_\mu$ be the symmetric projections defined from the measurement construction. Uniqueness conje…

Let $\mcG_1$ and $\mcG_2$ be two synchronous games. Robust product self-testing conjecture. The product game $\mcG_1\times\mcG_2$ is a robust self-test for its perfect strategies i…