Simple Stationary Steps in Quantum Walks

TR Number

Date

2024-05-07

Journal Title

Journal ISSN

Volume Title

Publisher

Virginia Tech

Abstract

The inverse Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds of type An−1 is given as a sum over a set of quantum walks in the quantum Bruhat graph, QBG(An−1). We establish bounds on the number of quantum steps and simple stationary steps in these quantum walks. By a result of Kato, we map this formula to the equivariant quantum K-theory of partial flag manifolds G/P to give an alternate proof of [KLNS24, Theorem 8].

Description

Keywords

Quantum Walks, K-Theory

Citation