Optical analogy to quantum computation based on classical fields modulated pseudorandom phase sequences

TL;DR

This paper presents an optical analogy to quantum computation using classical fields modulated with pseudorandom phase sequences, enabling simulation of quantum states and algorithms.

Contribution

It introduces a classical optical framework that mimics quantum entanglement and computation, including simulation of key quantum states and algorithms.

Findings

Successfully simulates Bell, GHZ, and W states using classical optics.

Proposes a sequence permutation mechanism for quantum state simulation.

Demonstrates classical simulation of Shor's and Grover's algorithms.

Abstract

We demonstrate that a tensor product structure and optical analogy of quantum entanglement can be obtained by introducing pseudorandom phase sequences into classical fields with two orthogonal modes. Using the classical analogy, 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 propose a sequence permutation mechanism to simulate certain quantum states and a generalized gate array model to simulate quantum algorithm, such as Shor's algorithm and Grover's algorithm. The research on classical simulation of quantum states is important, for it not only enables potential beyond quantum computation, but also provides useful insights into fundamental concepts of quantum mechanics.