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Blindly verifying partially unknown entanglement.

Ming-Xing Luo1,2, Shao-Ming Fei3,4, Jing-Ling Chen5

  • 1CSNMT Int. Coop. Res. Centre (MoST), The School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, P.R. China.

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|March 14, 2022
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Summary
This summary is machine-generated.

This study introduces new methods to identify unknown quantum entanglement using partial state information. These techniques are robust against noise and applicable to multipartite entangled states for quantum communication and computation.

Keywords:
PhysicsQuantum physicsQuantum theory

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Computing

Background:

  • Quantum entanglement is a key resource in quantum information science, exhibiting non-classical correlations.
  • Verifying unknown entanglement typically requires complete knowledge of the quantum state via quantum state tomography.
  • Existing methods are often limited by the need for full state information, hindering practical applications.

Purpose of the Study:

  • To develop methods for identifying unknown quantum entanglement using only partial information about the quantum state.
  • To extend entanglement verification techniques to partially unknown bipartite and multipartite entangled states.
  • To explore applications in quantum communication and quantum computation, such as quantum zero-knowledge proofs and verifying quantum computation resources.

Main Methods:

  • Utilizing a generalized Greenberger-Horne-Zeilinger-like paradox based on Pauli observables.
  • Employing a nonlinear entanglement witness derived from density matrix elements.
  • Investigating the robustness of entanglement witnesses against white noise.

Main Results:

  • Successfully verified unknown bipartite entanglement with partial state information.
  • Extended entanglement verification to partially unknown Greenberger-Horne-Zeilinger and W-type multipartite states.
  • Demonstrated the robustness of the proposed entanglement witnesses against noise.

Conclusions:

  • Partial information is sufficient for verifying complex quantum entanglement, overcoming limitations of full state tomography.
  • The developed methods offer practical tools for entanglement characterization in quantum communication and networks.
  • Applications in quantum zero-knowledge proofs and blind verification of quantum computation resources highlight the utility of these findings.