4 papers
Near-Optimal Parallel Unitary Process Tomography in Diamond Distance
Noam Scully, Sisi Zhou
Unitary process tomography is the act of learning how an unknown unitary gate acts on a quantum system. It is an essential procedure for realizing a functioning quantum computer. A…
Optimal classical shadow estimation of unitary channels at Heisenberg limit
Entong He, Zihao Li, Noam Scully +2
Full tomography of an unknown quantum evolution is resource-intensive and often unnecessary when the goal is only to predict selected properties. This motivates the study of classi…
Slope gap distribution of the double heptagon and an algorithm for determining winning vectors
Fernando Al Assal, Nada Ali, Uma Arengo +4
In this paper, we study the distribution of renormalized gaps between slopes of saddle connections on translation surfaces. Specifically, we describe a procedure for finding the "w…
The lexicographically least square-free word with a given prefix
Siddharth Berera, Andrés Gómez-Colunga, Joey Lakerdas-Gayle +6
The lexicographically least square-free infinite word on the alphabet of non-negative integers with a given prefix is denoted . When is the empty word, this word was…