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Two-particle bosonic-fermionic quantum walk via integrated photonics.

Linda Sansoni1, Fabio Sciarrino, Giuseppe Vallone

  • 1Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro, 5, I-00185 Roma, Italy.

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Particle statistics significantly impact quantum walks, simulating bosonic bunching and fermionic antibunching. This research explores quantum computing and physical system simulation using a novel waveguide circuit.

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Area of Science:

  • Quantum physics
  • Quantum computing
  • Quantum simulation

Background:

  • Quantum walks are a key resource for quantum simulation and an alternative to circuit-based quantum computing.
  • Understanding particle statistics (bosonic or fermionic) is crucial for quantum phenomena.

Purpose of the Study:

  • To investigate the influence of particle statistics on two-particle discrete quantum walks.
  • To simulate the bunching-antibunching behavior of bosons and fermions.

Main Methods:

  • Utilizing polarization entanglement to simulate particle statistics.
  • Developing a novel three-dimensional waveguide circuit for the experiment.
  • Ensuring polarization-independent behavior with precise phase and balance control.

Main Results:

  • Successfully simulated the distinct bunching (bosonic) and antibunching (fermionic) behaviors in a two-particle quantum walk.
  • Demonstrated the efficacy of the novel waveguide geometry for accurate quantum walk experiments.

Conclusions:

  • Particle statistics fundamentally alter quantum walk dynamics.
  • The developed experimental setup provides a robust platform for studying quantum phenomena and advancing quantum computing.