Andrew Yu

activity

20222026

collaborators

3 papers

quant-ph2026

Explicit Matrices over $Z_{2}$ with CNOT and Row Complexity $4 n - o (n)$ and Local Logic Gates

Sherry Gong, Andrew Yu

In this article, we present an explicit family of invertible $n \times n$ matrices over $Z_{2}$ whose CNOT and row complexity is at least $4 n - o (n)$ ; equivalently, reduc…

math.SP2023

Sharp bound for embedded eigenvalues of Dirac operators with decaying potentials

Vishwam Khapre, Kang Lyu, Andrew Yu

We study eigenvalues of the Dirac operator with canonical form \begin{equation} L_{p,q} \begin{pmatrix} u \\ v \end{pmatrix}= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}\frac{d}{…

quant-ph2022

Quantum Complexity of Permutations

Andrew Yu

Let $S_{n}$ be the symmetric group of all permutations of ${1, \dots, n}$ with two generators: the transposition switching $1$ with $2$ and the cyclic permutation sending $k$ to $…

Explicit Matrices over Z2​ with CNOT and Row Complexity 4n−o(n) and Local Logic Gates

Sharp bound for embedded eigenvalues of Dirac operators with decaying potentials

Quantum Complexity of Permutations

Explicit Matrices over $Z_{2}$ with CNOT and Row Complexity $4 n - o (n)$ and Local Logic Gates