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Unbounded Sharing of Nonlocality Using Qubit Projective Measurements.

S Sasmal1,2, S Kanjilal3, A K Pan2

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This summary is machine-generated.

This study shows that local randomness-assisted projective measurements allow arbitrary sequential observers to share quantum nonlocality. This overcomes previous limitations requiring generalized unsharp measurements.

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Area of Science:

  • Quantum Information Science
  • Quantum Foundations
  • Quantum Measurement Theory

Background:

  • Sequential sharing of quantum nonlocality typically requires generalized unsharp measurements.
  • Sharp measurements generally destroy entanglement, hindering nonlocality sharing.
  • Prior work showed nonlocality sharing up to two observers using projective measurements with local randomness.

Purpose of the Study:

  • To introduce a protocol for unbounded sequential sharing of quantum nonlocality.
  • To enable an arbitrary number of observers to share nonlocality with a single source.
  • To investigate the role of measurement incompatibility in nonlocality sharing.

Main Methods:

  • Development of a local randomness-assisted qubit projective measurement protocol.
  • Analysis of generalized measurements that preserve entanglement for nonlocality harnessing.
  • Examination of the interplay between measurement incompatibility of sequential observers.

Main Results:

  • Demonstration of unbounded sharing of quantum nonlocality among an arbitrary number of sequential observers.
  • Preservation of entanglement in the shared two-qubit state through generalized measurements.
  • Identification of measurement incompatibility as a key factor for unbounded nonlocality sharing.

Conclusions:

  • Projective measurements, aided by local randomness, are sufficient for unbounded sequential sharing of quantum nonlocality.
  • The proposed protocol extends nonlocality sharing beyond previous limitations.
  • Measurement incompatibility is crucial for achieving and understanding unbounded nonlocality sharing.