Efficient Simulation of Quantum States Based on Classical Fields Modulated with Pseudorandom Phase Sequences

TL;DR

This paper presents a method to simulate various quantum states using classical fields modulated with pseudorandom phase sequences, enabling efficient classical simulation and offering insights into quantum mechanics.

Contribution

It introduces a novel approach to simulate quantum states with classical fields modulated by pseudorandom phases, including a sequence permutation mechanism for state reconstruction.

Findings

Successfully simulated product, Bell, GHZ, and W states

Proposed a quadrature demodulation scheme for mode analysis

Enabled efficient classical simulation of complex quantum states

Abstract

We demonstrate that a tensor product structure could be obtained by introducing pseudorandom phase sequences into classical fields with two orthogonal modes. Using classical fields modulated with pseudorandom phase sequences, we discuss efficient simulation of several typical quantum states, including product state, Bell states, GHZ state, and W state. By performing quadrature demodulation scheme, we could obtain the mode status matrix of the simulating classical fields, based on which we propose a sequence permutation mechanism to reconstruct the simulated quantum states. The research on classical simulation of quantum states is important, for it not only enables potential practical applications in quantum computation, but also provides useful insights into fundamental concepts of quantum mechanics.