7 problems

Let $\rho_A$ be the reduced density matrix obtained by partially tracing one factor of a random Gaussian vector in $\mathbb{C}^D\otimes\mathbb{C}^D$, with the normalization convent…

Reflection-permutation conjecture. The reflection permutation $\pi$ gives the true minimum for all $(q,n)$, namely

Minimal multiway-cut conjecture. The multi-entropy in RTN states is given by the area of minimal multiway cuts.

Let $d^{(n)}_m>1$ be the multiplicity factor arising at an entanglement-wedge cross-section phase transition, where $m$ indexes the relevant moment configurations. Multiplicity con…

Let $S^{(n)}_R$ denote the reflected Rényi entropy of order $n$, and consider the second kind of phase transition, namely an entanglement-wedge cross-section phase transition at wh…

For each sector indexed by $k$, let $Z_n^{(k)}$ denote its partition function, with leading large-$\chi$ behaviour described by an effective two-tensor network having internal bond…

The reflected-entropy spectrum in a random tensor network is obtained from narrow poles at leading order in the external bond dimensions. Permutation-induced spreading conjecture.…