5 problems

Let $\rho$ and $\sigma$ be quantum states in the state space $\mathcal{S}$. The rate functions $\mathcal{I}^c_{\operatorname{Id}}(\rho,\sigma)$ and $\hat{I}(\rho,\sigma)$ are defin…

Consider the spin-half quantum model in which the state is parametrized by a two-dimensional equatorial-plane parameter, with rotationally symmetric priors and sample size $N$. A n…

Let $c_G$ and $L$ be the parameters appearing in the global perturbation bound, with $L=\lceil\log_2(r_{\mathrm{max}})\rceil$. $L$-independent dependence conjecture. A more refined…

Let $\tilde{\rho}$ be the estimator of a quantum state produced by sketch tomography, and let $n$ denote the number of qubits. Warm-start conjecture. Using $\tilde{\rho}$ as a warm…

Let $\mathscr{A}$ and $\mathscr{B}$ be SICs in dimension $3$, and let $F(\mathscr{A}^{\otimes 3})$ and $F(\mathscr{B}^{\otimes 3})$ denote their three-copy estimation fidelities. S…