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Mixed-State Entanglement from Local Randomized Measurements.

Andreas Elben1,2, Richard Kueng3, Hsin-Yuan Robert Huang4,5

  • 1Center for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria.

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|December 1, 2020
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Summary
This summary is machine-generated.

We developed a new method to detect bipartite entanglement in complex quantum states using local measurements and classical shadows. This technique is applicable to various quantum systems with single-qubit control.

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Area of Science:

  • Quantum Information Science
  • Quantum Many-Body Physics
  • Quantum Computing

Background:

  • Detecting entanglement in many-body mixed states is crucial for quantum information processing.
  • Existing methods often require full state tomography, which is experimentally challenging.

Purpose of the Study:

  • To propose a novel, experimentally feasible method for detecting bipartite entanglement in many-body mixed states.
  • To provide a resource-efficient protocol applicable to systems with single-qubit control.

Main Methods:

  • Estimating moments of the partially transposed density matrix.
  • Utilizing local random measurements and the classical shadows framework for data acquisition and processing.

Main Results:

  • The proposed method accurately detects bipartite entanglement.
  • Analysis provides insights into the number of experimental runs required.
  • Protocol demonstrated successfully using existing experimental data.

Conclusions:

  • The developed method offers a practical approach to entanglement detection in complex quantum systems.
  • This work advances the characterization of quantum states and supports the development of quantum technologies.