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Introduction to Semi-Classical Analysis for Digital Errors of Qubit in Quantum Processor.

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New quantum errors emerge as quantum computers scale. This study models these errors, offering insights into quantum noise and information theory for better quantum computing development.

Keywords:
burst errorcommunication channel error modelcosmic raynonlinear errorquantum Zeno effect

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Area of Science:

  • Quantum Computing
  • Information Theory
  • Quantum Error Correction

Background:

  • Quantum computer development is advancing rapidly.
  • Scaling quantum processors introduces new quantum errors, like nonlinear errors.
  • Current information theory lacks methods to handle these novel quantum errors.

Purpose of the Study:

  • To survey the modeling of quantum noise effects for information theorists.
  • To address new, nontrivial quantum errors in quantum information processing.
  • To clarify error probability characteristics of qubits as communication channel error models.

Main Methods:

  • Developing a channel error model for quantum noise.
  • Analyzing error probability properties influenced by quantum phenomena.
  • Explaining complex quantum noise effects through simplified models.

Main Results:

  • A channel error model is presented to describe unusual quantum error probabilities.
  • Specific examples illustrate error probability features from quantum recurrence, collective relaxation, and external forces.
  • The model clarifies strange error probability features not seen in classical information theory.

Conclusions:

  • The proposed model aids in understanding and managing novel quantum errors.
  • This work bridges the gap between quantum physics and information theory for error handling.
  • It facilitates the development of more robust quantum computing systems by addressing complex noise effects.