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Mattia Walschaers1, Supratik Sarkar1, Valentina Parigi1

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This study introduces photon addition and subtraction to create non-Gaussian continuous-variable graph states. This method enhances quantum computation by overcoming limitations of current Gaussian measurement statistics.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Computation

Background:

  • Graph states are fundamental to measurement-based quantum computation.
  • Current experimental methods yield Gaussian statistics, hindering quantum advantage.
  • Non-Gaussian features are crucial for advanced quantum information processing.

Purpose of the Study:

  • To propose and investigate methods for introducing non-Gaussian features into continuous-variable graph states.
  • To explore the experimental feasibility of these methods.
  • To analyze the distribution and control of non-Gaussian properties within graph states.

Main Methods:

  • Mode-selective photon addition.
  • Mode-selective photon subtraction.
  • Analysis of non-Gaussian property propagation in graph states.

Main Results:

  • Photon addition and subtraction are viable pathways to generate non-Gaussian continuous-variable graph states.
  • Non-Gaussian properties can be controllably introduced and distributed across the graph.
  • The study demonstrates a method to overcome limitations of Gaussian measurement statistics.

Conclusions:

  • The proposed techniques offer experimental feasibility for generating crucial non-Gaussian graph states.
  • This work provides a pathway to enhanced continuous-variable quantum computation.
  • Achievable control over non-Gaussian features opens new possibilities in quantum information processing.