87 citations · 454 across the 24 of their papers we have counts for
25 papers
Geometry over finite local rings: Rigidity and Isospectrality
Yishai Lavi, Ori Parzanchevski
We study the simplicial order complexes obtained from free modules over finite local rings. These complexes arise naturally as geodesic spheres in Bruhat-Tits buildings over non-ar…
Multi-Qubit Golden Gates
Rahul Dalal, Shai Evra, Ori Parzanchevski
Our goal in this paper is to construct optimal topological generators for compact unitary Lie groups, extending the work of a letter of Sarnak and arXiv:1704.02106 on golden and su…
Arithmeticity, thinness and efficiency of qutrit Clifford+T gates
Shai Evra, Ori Parzanchevski
The Clifford+T gate set is a topological generating set for PU(2), which has been well-studied from the perspective of quantum computation on a single qubit. The discovery that it…
Ramanujan Bigraphs
Shai Evra, Brooke Feigon, Kathrin Maurischat +1
In their seminal paper, Lubotzky, Phillips and Sarnak (LPS) defined the notion of regular Ramanujan graphs and gave an explicit construction of infinite families of -regular…
Sequential Sweeps and High Dimensional Expansion
Vedat Levi Alev, Ori Parzanchevski
It is well known that the spectral gap of the down-up walk over an -partite simplicial complex (also known as Glauber dynamics) cannot be better than due to natural obs…
Free flags over local rings and powering of high dimensional expanders
Tali Kaufman, Ori Parzanchevski
Powering the adjacency matrix of an expander graph results in a better expander of higher degree. In this paper we seek an analogue operation for high-dimensional expanders. We sho…