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Generating Greenberger-Horne-Zeilinger states with squeezing and postselection.

Byron Alexander1, John J Bollinger2, Hermann Uys1,3

  • 1Department of Physics, Stellenbosch University, Stellenbosch Central 7600, Stellenbosch, South Africa.

Physical Review. A
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Summary
This summary is machine-generated.

This study introduces quantum measurement as a novel tool for quantum state preparation, significantly reducing preparation time for highly entangled Greenberger-Horne-Zeilinger (GHZ) states.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Computing

Background:

  • Standard quantum state preparation often combines dissipative initialization with unitary evolution.
  • Efficient preparation of highly entangled multipartite states is crucial for quantum technologies.

Purpose of the Study:

  • To demonstrate the utility of quantum measurement as an additional tool for quantum state preparation.
  • To generate highly entangled multipartite states, termed projected squeezed (PS) states.
  • To optimize PS states for overlap fidelity with Greenberger-Horne-Zeilinger (GHZ) states.

Main Methods:

  • Utilizing a control sequence involving rotation, spin squeezing (one-axis twisting), quantum measurement, and postselection.
  • Starting from a pure, separable multipartite state.
  • Employing an optimization method to maximize fidelity with GHZ states.

Main Results:

  • Successfully generated projected squeezed (PS) states, a type of highly entangled multipartite state.
  • Identified optimal parameters for PS states to achieve high overlap fidelity with GHZ states.
  • Achieved a notable decrease in state preparation time for GHZ states via postselection compared to methods using only unitary evolution.

Conclusions:

  • Quantum measurement offers an effective enhancement to quantum state preparation protocols.
  • The proposed method provides a faster route to preparing GHZ states when postselection is successful.
  • This approach advances the creation of complex entangled states for quantum information processing.