5 problems

Poly-depth duality conjecture. The poly-depth dualities listed in the table hold in the sense of the paper's definition of duality.

Let $L$ be an MBL LIOM algebra in the toric-code MBL phase, meaning that it is related by a finite-depth circuit to the algebra generated by toric-code star and plaquette operators…

Let the code be the double-semion Pauli stabilizer code, a non-CSS code on ${\mathbb Z}_4$ qudits, mapped to a CSS code by doubling the number of qudits. Double-semion equivalence…

Toric-code boundary nonlocality conjecture. Any boundary Hilbert space of the toric code cannot be realized as a 1D local tensor-product Hilbert space (LTPS).

Let $d$ denote the code distance and let $\omega$ denote the error-correcting radius of the renormalisation decoder for Kitaev's toric code. Square-root scaling conjecture. The err…