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Quantum chaos border for quantum computing

Georgeot1, Shepelyansky

  • 1Laboratoire de Physique Quantique, UMR 5626 du CNRS, Universite Paul Sabatier, F-31062 Toulouse Cedex 4, France.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary
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Quantum chaos can destroy quantum computer operability. However, this study reveals that the quantum chaos threshold scales linearly with qubit number, preserving a viable operating range for quantum computing.

Area of Science:

  • Quantum Computing
  • Quantum Chaos Theory
  • Many-Body Physics

Background:

  • Quantum computers utilize qubits for computation.
  • Interactions between qubits can lead to complex quantum phenomena.
  • Quantum chaos and ergodicity can disrupt quantum computations.

Purpose of the Study:

  • To investigate the onset of quantum chaos in a generic quantum computer model.
  • To determine the relationship between qubit number and the quantum chaos threshold.
  • To identify parameter regimes suitable for stable quantum computation.

Main Methods:

  • Modeling a generic quantum computer with coupled qubits.
  • Analyzing the behavior of quantum eigenstates under varying coupling strengths.
  • Investigating the scaling of the quantum chaos border with the number of qubits.

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Main Results:

  • Quantum chaos emerges above a critical interqubit coupling strength, destroying operability.
  • The spacing between multiqubit states decreases exponentially with the number of qubits.
  • The quantum chaos border decreases only linearly with the number of qubits.

Conclusions:

  • A broad parameter region exists where efficient quantum computer operation is feasible.
  • The linear scaling of the chaos border with qubit number is crucial for practical quantum computing.
  • Understanding quantum chaos is essential for designing robust quantum computers.