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Related Experiment Videos

Percolation, renormalization, and quantum computing with nondeterministic gates.

K Kieling1, T Rudolph, J Eisert

  • 1QOLS, Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2BW, United Kingdom.

Physical Review Letters
|October 13, 2007
PubMed
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We introduce a novel quantum computing strategy using static renormalization and percolation theory to create entangled states. This method efficiently prepares cluster states, even with probabilistic quantum gates common in optical systems.

Area of Science:

  • Quantum Computing
  • Quantum Information Science
  • Statistical Mechanics

Background:

  • Nondeterministic quantum gates introduce randomness, complicating entangled state preparation.
  • Optical architectures and cold atom lattices commonly feature probabilistic gates and defects.
  • Efficient cluster state preparation is crucial for scalable quantum computing.

Purpose of the Study:

  • To develop a novel strategy for preparing entangled states resilient to probabilistic quantum gates.
  • To leverage static renormalization and percolation theory for robust quantum state generation.
  • To demonstrate an efficient method for constructing cluster states in realistic quantum computing architectures.

Main Methods:

  • Applying static renormalization, inspired by percolation theory, to quantum gate operations.

Related Experiment Videos

  • Developing a method for efficient cluster state construction without rerouting.
  • Analyzing the resource scaling compared to deterministic gate approaches.

    • Main Results:

    • A novel approach to managing randomness from nondeterministic quantum gates is presented.
    • Efficient construction of cluster states is demonstrated, bypassing extensive conditional dynamics.
    • Subsequent operations are shown to be shiftable to final single-qubit measurements, simplifying preparation.
    • Resource scaling comparable to deterministic gates is achieved for cluster state preparation.

    Conclusions:

    • Static renormalization offers a powerful tool for robust entangled state preparation in quantum computing.
    • The proposed method effectively mitigates challenges posed by probabilistic quantum gates in optical and cold atom systems.
    • This strategy provides a resource-efficient pathway to scalable cluster state generation, essential for advancing quantum computation.