6 problems

Direct-product distillation conjecture. The state

Distance bound conjecture. The distance of an $[[n,1,d]]$ $M_3$-code satisfies $d<d_{\max}$, with

Coefficient-structure conjecture. There is some structure hidden in the coefficients of the high-order polynomial equation $f_{\mathcal{Q}}(t)$.

A weight enumerator is a polynomial encoding the weight distribution of a code; invariant theory studies quantities and polynomial structures preserved under specified group action…

For odd-prime-dimensional qudits, the Wigner polytope is the set of states with non-negative discrete Wigner function; a pure magic state is a pure non-stabilizer state usable as a…

Contextuality is a property of quantum states manifested through measurements whose outcomes cannot be explained by a noncontextual hidden-variable model. Universal quantum computa…