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Binary Communication with Gazeau-Klauder Coherent States.

Jerzy Dajka1,2,3, Jerzy Łuczka1,3,4

  • 1Institute of Physics, University of Silesia in Katowice, 40-007 Katowice, Poland.

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|December 8, 2020
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Summary
This summary is machine-generated.

Using Gazeau-Klauder coherent states in optical communication offers advantages over standard Perelomov states. This approach reduces the error probability bound in binary communication systems.

Keywords:
Gazeau–Klauder coherent statesHelstrom bound

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Area of Science:

  • Quantum Information Science
  • Optical Communication Systems
  • Nonlinear Optics

Background:

  • Standard coherent states, like Perelomov coherent states, are foundational in quantum optics and communication.
  • Gazeau-Klauder coherent states offer alternative quantum state representations with unique properties.
  • The performance of optical communication is often quantified by error probability bounds, such as the Helstrom bound.

Purpose of the Study:

  • To evaluate the benefits and drawbacks of employing Gazeau-Klauder coherent states in optical communication.
  • To compare the performance of Gazeau-Klauder coherent states against standard Perelomov coherent states for binary communication.
  • To analyze the distinguishability of Gazeau-Klauder coherent states using trace distance.

Main Methods:

  • Theoretical investigation of Gazeau-Klauder coherent states associated with a Kerr-type nonlinear oscillator.
  • Calculation of the Helstrom bound for error probability using an alphabet of Gazeau-Klauder coherent states.
  • Quantification of state distinguishability via trace distance between Gazeau-Klauder and standard coherent states.

Main Results:

  • Utilizing Gazeau-Klauder coherent states leads to a reduction in the Helstrom bound for error probability in binary optical communication.
  • The trace distance analysis provides a measure of how distinguishable Gazeau-Klauder coherent states are from standard coherent states.
  • This demonstrates a potential improvement in communication fidelity using these non-standard coherent states.

Conclusions:

  • Gazeau-Klauder coherent states present a viable alternative to Perelomov coherent states for enhancing optical communication efficiency.
  • The reduced error probability bound signifies improved performance in binary communication protocols.
  • Further research into nonlinear oscillator-based coherent states could unlock new possibilities in quantum communication.