Effective Simulation of Quantum Entanglement Based on A Single-photon Field Modulated with Pseudorandom Phase Sequences

TL;DR

This paper presents a method to simulate quantum entanglement using a single-photon field modulated with pseudorandom phase sequences, creating a high-dimensional Hilbert space that mimics multi-particle entangled states.

Contribution

It introduces a novel approach to simulate quantum entanglement with a single-photon field modulated by pseudorandom phase sequences, enabling effective modeling of multi-particle entangled states.

Findings

Successfully simulates Bell and GHZ states

Achieves results consistent with quantum mechanics

Generalizes to n-particle entanglement

Abstract

We demonstrate that a single-photon field modulated with n different pseudorandom phase sequences (PPSs) can constitute a 2^n-dimensional Hilbert space that contains tensor product structure. By using the single photon field modulated with PPSs, we discuss effective simulation of Bell states and GHZ state, and apply both correlation analysis and von Neumann entropy to characterize the simulation. We obtain similar results with the cases in quantum mechanics and find that the conclusions can be easily generalized to n quantum particles. The research on simulation of quantum entanglement may be important, for it not only provides useful insights into fundamental features of quantum entanglement, but also yields new insights into quantum computation.