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Researchers demonstrate a quantum walk on a dynamic graph, controlling its structure in real-time. This breakthrough in quantum transport research shows clear non-Markovian signatures, paving the way for simulating complex quantum systems.

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Area of Science:

  • Quantum physics
  • Quantum information science
  • Condensed matter physics

Background:

  • Quantum systems evolve coherently but are influenced by classical environments.
  • Quantum walks are models for analyzing quantum transport phenomena.
  • Quantum walks on percolation structures study open system dynamics in random media.

Purpose of the Study:

  • To implement and demonstrate a quantum walk on a dynamically controlled percolation graph.
  • To investigate the interplay between internal and external degrees of freedom in quantum walks.
  • To observe non-Markovian signatures in a controlled quantum walk experiment.

Main Methods:

  • Development of an optical time-multiplexed quantum walk implementation.
  • Achieving dynamical control over the underlying graph structure during the quantum walk.
  • Performing quantum walk evolution over six double steps.

Main Results:

  • Successful demonstration of a quantum walk on a dynamical percolation graph.
  • Observation of the intricate interplay between internal and external degrees of freedom.
  • Clear non-Markovian signatures detected in the coin space, indicating high coherence.

Conclusions:

  • The experiment represents a proof-of-principle for quantum walks on dynamical graphs.
  • High coherence and control over system parameters were achieved.
  • This work paves the way for simulating quantum transport in complex random media.