Author

Zi-Yuan Dong

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Sep 2026

Spectral gaps and slow modes of Pauli rotations and random quantum circuits

We determine which representation sectors control the slowest convergence of random Pauli rotations and several local random quantum circuits. For $d=2^n$, the continuous Pauli walk has exact all-representation gaps $$\Delta_{\mathsf{SU}(d)}=\frac{d-8}{8(d-1)}\quad(n\ge4),\qquad \Delta_{\mathsf{PU}(d)}=\frac{d(d-3)}{8(...

Zi-Yuan Dong, Xiang Fan · 0 citations

Preprint Sep 2026

Exact spectral gaps for random Pauli rotations

We resolve the spectral-gap problem posed by Baer and Haah for random Pauli rotations. In this walk, a nonidentity $n$-qubit Pauli operator $P$ and an angle $\theta$ modulo $2\pi$ are chosen independently and uniformly, and the step is $e^{\mathrm{i}\theta P}$. Writing $d=2^n$, we prove that the gap on $\mathsf{SU}(d)$...

Zi-Yuan Dong, Xiang Fan · 0 citations