Markov Process Simulation with Quantum Computer

TL;DR

This paper demonstrates a novel approach to simulating Markov processes using quantum computers, leveraging superposition and entanglement to analyze stochastic processes more efficiently.

Contribution

It introduces a new method for simulating Markov chains on quantum computers, highlighting the potential for parallel scenario analysis through quantum superposition.

Findings

Quantum simulation of Markov processes is feasible.

Superposition allows simultaneous analysis of multiple scenarios.

Entanglement encodes complex stochastic dependencies.

Abstract

This paper shows a novel way of simulating a Markov process by a quantum computer. The main purpose of the paper is to show a particular application of quantum computing in the field of stochastic processes analysis. Using a Quantum computer, the process could be superposed, where the random variables of the Markov chain are represented by entangled qubit states, which gives the great opportunity of having all the possible scenarios simultaneously.