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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Collective Randomized Measurements in Quantum Information Processing.

Satoya Imai1,2, Géza Tóth3,4,5,6,7, Otfried Gühne1

  • 1Naturwissenschaftlich-Technische Fakultät, <a href="https://ror.org/02azyry73">Universität Siegen</a>, Walter-Flex-Straße 3, 57068 Siegen, Germany.

Physical Review Letters
|August 23, 2024
PubMed
Summary
This summary is machine-generated.

We introduce collective randomized measurements for quantum information processing. This method characterizes quantum entanglement independently of the reference frame, offering new criteria beyond two-body correlations.

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Area of Science:

  • Quantum Information Science
  • Quantum Measurement Theory
  • Quantum Entanglement

Background:

  • Randomized measurements are crucial for analyzing quantum states, exemplified by shadow tomography.
  • Collective measurements offer a novel approach to quantum information processing.

Purpose of the Study:

  • To introduce collective randomized measurements for characterizing quantum entanglement.
  • To develop methods for entanglement characterization independent of collective reference frames.

Main Methods:

  • Performing collective angular momentum measurements on quantum systems.
  • Actively rotating measurement directions using simultaneous multilateral unitaries.
  • Analyzing moments of the resulting probability distribution.

Main Results:

  • Demonstrated accessibility of existing spin-squeezing inequalities.
  • Proposed a novel entanglement criterion based on three-body correlations.
  • Successfully applied the method to characterize entanglement in spatially separated ensembles.

Conclusions:

  • Collective randomized measurements provide a powerful tool for quantum entanglement characterization.
  • The proposed methods extend beyond two-body correlations, offering deeper insights into multipartite entanglement.
  • This approach is applicable to distributed quantum systems.