Artur Siemaszko

Spectral quantization of discrete random walks on half-line and orthogonal polynomials on the unit circle

2024 · Quantum Information Processing

Abstract We define quantization scheme for discrete-time random walks on the half-line consistent with Szegedy’s quantization of finite Markov chains. Motivated by the Karlin and McGregor description of discrete-time random walks in terms of polynomials …