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Percolation thresholds for photonic quantum computing.

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Researchers demonstrate a method to create universal photonic cluster states for quantum computation by fusing smaller entangled clusters. This approach requires a fusion success probability achievable with current technology, making it suitable for integrated photonics.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Photonic Quantum Computing

Background:

  • Probabilistic linear-optical fusion (Bell measurement) is a key challenge in generating photonic cluster states.
  • Universal quantum computation relies on large-scale entangled photonic cluster states.

Purpose of the Study:

  • To develop a method for preparing universal photonic cluster states without feed-forward.
  • To determine the minimum fusion success probability required for this preparation.
  • To identify practical constructions for generating these states using integrated photonics.

Main Methods:

  • Proving a general bound for the required fusion success probability.
  • Developing a conceptual method to construct long-range-connected clusters.
  • Mapping cluster state construction to bond percolation thresholds on logical graphs.

Main Results:

  • A general bound [Formula: see text] for the fusion success probability was proven.
  • A novel mapping to bond percolation thresholds was established, enabling constructions with lower required fusion probabilities.
  • A method to create universal cluster states by fusing 3-photon clusters over a 2D lattice was demonstrated.

Conclusions:

  • The required fusion success probability is achievable with linear optics and single photons.
  • This work settles an open question regarding the feasibility of universal cluster state generation.
  • The findings are attractive for integrated-photonic quantum computation realizations.