6 problems

Gaussian-state basis conjecture. We conjecture that it can be obtained first by following the steps that lead the state in the $(\phi,\frac{\pi}{2},0)$ basis and then replacing eac…

Let $S$ be the von Neumann entropy of fermionic Gaussian states with a fixed particle number, and let … Under the asymptotic regime specified in the source, Gaussian fluctuation co…

Asymptotic Gaussianity conjecture. In the limit

Let $m$ and $n$ be subsystem dimensions with $m\leq n$. Let $S$ denote the von Neumann entanglement entropy of a fermionic Gaussian state, and let $\psi_0$ and $\psi_1$ denote the…

Let $V$ be the total volume, let $A$ be a subsystem of volume $V_A$ with fraction $f=V_A/V$, and let $\braket{\Delta C_A}_G$ denote the standard deviation of the eigenstate capacit…

Let $d$ be the number of fermionic modes, and let $B=[b_k^n]$ be the matrix whose entries are the coefficients appearing in the characterization of $\mathrm{Spin}(2d)$-invariant bi…