JSTOR Daily

Markov Chains with Applications in Queueing Theory, Which Have a Matrix-Geometric Invariant Probability Vector

It is shown that a class of infinite, block-partitioned, stochastic matrices has a matrix-geometric invariant probability vector of the form (x0,x1,...), where xk=x0Rk, for k≥ 0. The rate matrix R is ...
JSTOR Daily

On the Matrix Occurring in a Linear Search Problem

In this paper we consider the Markov chain formed by the operation of the move-to-front scheme. We show that the eigenvalues of the transition probability matrix are of the form pi, pi + pj, ⋯, Σ1 N ...
Yahoo Finance

MicroCloud Hologram Inc. Utilizes Matrix Product States to Achieve High-Precision Quantum State Preparation with Mirror-Symmetric Probability Distribution

SHENZHEN, China, March 18, 2025 (GLOBE NEWSWIRE) -- MicroCloud Hologram Inc. (NASDAQ: HOLO), (“HOLO” or the "Company"), a technology service provider, announced the proposal of a new method based on ...
manilatimes

MicroCloud Hologram Inc. Utilizes Matrix Product States to Achieve High-Precision Quantum State Preparation with Mirror-Symmetric Probability Distribution

HOLO constructs quantum states based on Matrix Product States (MPS) and leverages mirror symmetry to optimize the loading of probability distributions. Mirror symmetry implies that the probability ...