8 problems

Asymptotic-Hamiltonian conjecture. The Hamiltonian $H_{{\rm S},\lambda,\beta}$ absorbs the leading-order correction to the non-interacting dynamics

Matrix-algebra generation conjecture. If the jump operators $\{L_j\}_j$ generate the entire complex matrix algebra, then the associated dissipator is Hamiltonian-independently cont…

Finite-Markov-length conjecture. For any Gibbs state of a local Hamiltonian at any nonzero temperature, the Markov length remains finite under sufficiently weak local noise.

Universality conjecture. The constraint $\Gamma_T\geq \frac{\Gamma_L}{2}$ should hold universally for all completely positive dynamical semigroups. The constraint is known for qubi…

Let $\Phi_t=e^{t\mathcal{L}}$ be a quantum dynamical semigroup on a $d$-dimensional Hilbert space, with GKLS generator $\mathcal{L}$. Let $\lambda_\alpha$ be its eigenvalues, and d…

A black-boxing construction assigns to each open Markov process a linear relation between its boundary vector spaces, and the resulting symmetric monoidal double functor is … Here…

Relational semantic-universe conjecture. The category $\mathsf{Rel}$ of sets and relations will be the most appropriate category to serve as a semantic universe.

The model uses the total Hilbert space … with mover-and-contractor $M=i(H_R+H_2+H_z)$, boundary condition $\psi'(0)=w\psi(0)$ for $w\in{\mathbb C}$ with $\operatorname{Im}(w)>0$, t…