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Taming numerical errors in simulations of continuous variable non-Gaussian state preparation.

Jan Provazník1, Radim Filip2, Petr Marek2

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This study improves numerical simulations for quantum state preparation by introducing a more accurate method for calculating the truncated coherent displacement operator. This advancement aids in engineering non-Gaussian states and qubit superpositions.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Computational Physics

Background:

  • Accurate numerical simulation is crucial for optimizing quantum information processing protocols.
  • Fock state representation is a key tool, but requires approximating infinite-dimensional Fock space.

Purpose of the Study:

  • To analyze the accuracy of existing methods for computing the truncated coherent displacement operator.
  • To propose and validate a novel, more accurate method for this computation.
  • To apply the improved method to analyze non-Gaussian state preparation schemes.

Main Methods:

  • Analysis of truncated coherent displacement operator computation methods.
  • Development of a new method using standard matrix exponential for improved accuracy.
  • Simulation of non-Gaussian state preparation using coherent displacement and photon counting.

Main Results:

  • Identified limitations in current truncated coherent displacement operator computation methods.
  • Proposed an alternative method with enhanced accuracy based on matrix exponential.
  • Demonstrated application in preparing non-Gaussian states and qubit superpositions.

Conclusions:

  • The proposed matrix exponential method offers superior accuracy for quantum state preparation simulations.
  • This work facilitates the engineering of advanced quantum states and qubit functionalities.