3 problems

Real Clifford-state CZ-distance conjecture. Any pair of Clifford states with real amplitudes can be connected using local Clifford gates with real entries and at most

Graph-state representation conjecture. Every $n$-qubit Clifford state is equivalent to a state that can be represented with a graph. In particular, it is equivalent to a state that…

Counting conjecture. The number of real $(n+1)$-qubit Clifford states equals the number of $n$-qubit Clifford states.