Elia Gorokhovsky

collaborators

4 papers

quant-ph2026

Good Stabilizer Codes from Shallow Clifford Circuits with Random Matchings

Emile Anand, Elia Gorokhovsky, Jennifer Hritz +1

Encoding quantum information with low circuit overhead is a fundamental challenge in fault-tolerant quantum computation. Random circuits provide a natural mechanism for rapidly spr…

math.PR2026

Time-inhomogeneous random walks on finite groups and cokernels of random integer block matrices

Elia Gorokhovsky

We study time-inhomogeneous random walks on finite groups in the case where each random walk step need not be supported on a generating set of the group. When the supports of the r…

math.PR2026

Nearly-symmetric matrices in the Cohen-Lenstra universality class

Elia Gorokhovsky

In this paper, we study cokernels of random $n \times n$ matrices over $Z$ with symmetry conditions determined by fixed alternating bilinear forms on $Z^{n}$ . These in…

math.NT2026

4-rank distribution of Picard groups of hyperelliptic curves via $C$ -symmetric matrices

Elia Gorokhovsky, Mengzhen Liu

We determine the large-genus limiting distribution of the 4-rank of the Picard group of hyperelliptic curves over a fixed finite field $F_{q}$ of odd characteristic. This is…

Good Stabilizer Codes from Shallow Clifford Circuits with Random Matchings

Time-inhomogeneous random walks on finite groups and cokernels of random integer block matrices

Nearly-symmetric matrices in the Cohen-Lenstra universality class

4-rank distribution of Picard groups of hyperelliptic curves via C-symmetric matrices

4-rank distribution of Picard groups of hyperelliptic curves via $C$ -symmetric matrices