6 problems

Let $P(t)$, $t\in[0,1]$, be an integrable quantum system depending on a parameter, with $P(0)$ and $P(1)$ of toric type. Suppose that a particular rational direction in the image o…

Convergence conjecture. The state $\phi$ converges in probability to the set of Fock states, which correspond to the computational basis in $\mathcal{S}_N$.

A quantum system may have several global symmetries, whose ’t Hooft anomalies are obstructions to gauging those symmetries. Two quantum systems have the same anomaly for all symmet…

Mapping hypothesis. Any quantum system described by the Hubbard model or a tight-binding model, both in equilibrium and non-equilibrium situations, can be mapped to a classical epi…

Bulk-boundary higher-curvature conjecture. The infinite and semi-infinite systems have the same higher Berry curvature when $a$ is taken sufficiently far from the boundary.

Let a quantum spin-$J$ system be controlled by feedback controls of the particular form considered in the source, and let the target be an eigenstate of the measurement operator. E…