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Measuring nonlinear functionals of quantum harmonic oscillator states.

K L Pregnell1

  • 1Centre for Quantum Computer Technology, Department of Physics University of Queensland, Brisbane, QLD 4072, Australia. pregnell@physics.uq.edu.au

Physical Review Letters
|April 12, 2006
PubMed
Summary

Entanglement between harmonic oscillators can be detected using simple linear interactions and parity measurements. This method also allows measuring various properties of oscillator states without complex setups.

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Area of Science:

  • Quantum mechanics
  • Quantum optics

Background:

  • Entanglement is a key quantum phenomenon crucial for quantum information processing.
  • Detecting entanglement typically requires complex measurements, often involving nonlinear interactions.

Purpose of the Study:

  • To propose a novel method for detecting entanglement between two harmonic oscillators.
  • To generalize this method for measuring arbitrary functionals of oscillator states.
  • To enable various quantum state characterizations without nonlinear interactions.

Main Methods:

  • Utilizing only linear interactions between harmonic oscillators.
  • Implementing a local parity measurement.
  • Developing a scheme for measuring linear and nonlinear functionals.

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Main Results:

  • Demonstrated entanglement detection between two harmonic oscillators.
  • Showcased the ability to measure purity, eigenvalues, entropy, and distance measures.
  • Confirmed that complete state reconstruction is not necessary.

Conclusions:

  • The proposed method offers a practical approach to entanglement detection and state characterization.
  • Experimental realization is feasible with current linear optics technology.
  • Simplifies quantum state analysis and measurement protocols.