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Multi-particle quantum walks on 3D integrated photonic chip.

Wen-Hao Zhou1,2, Xiao-Wei Wang1,2, Ruo-Jing Ren1,2,3,4

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This study demonstrates a three-photon quantum walk on a triangular lattice, creating a large, complex graph. This experiment validates nonclassical properties and offers a new paradigm for quantum simulations.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Simulation

Background:

  • Quantum walks are crucial for quantum algorithms and graph representation.
  • Existing experiments are limited in scale and cannot capture multi-particle interference.
  • There's a need to expand experimental capabilities for complex quantum phenomena.

Purpose of the Study:

  • To implement a quantum walk with three photons on a 2D triangular lattice.
  • To construct a high-dimensional state space and a complex graph.
  • To validate nonclassical properties using statistical analysis and machine learning.

Main Methods:

  • Utilized a three-photon system on a triangular lattice.
  • Mapped the system to a 19x19x19 high-dimensional state space.
  • Employed statistical analysis of output combinations and machine learning.

Main Results:

  • Successfully created a complex graph with 6859 nodes and 45,486 edges.
  • Validated the nonclassical properties of the quantum walk experiment.
  • Demonstrated a method for exponentially expanding state space and graph complexity.

Conclusions:

  • This work presents a scalable approach for quantum walks.
  • It paves the way for overcoming classical limitations in large-scale quantum simulations.
  • The methodology enables exploration of complex quantum interference effects.