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Optimal Verification of Entangled States with Local Measurements.

Sam Pallister1,2, Noah Linden1, Ashley Montanaro1

  • 1School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom.

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|May 15, 2018
PubMed
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This summary is machine-generated.

Verifying quantum devices is crucial. This study reveals an optimal strategy for 2-qubit entangled states, requiring significantly fewer measurements than current methods for quantum state tomography and Bell tests.

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Area of Science:

  • Quantum Information Science
  • Experimental Quantum Physics
  • Quantum Computing Verification

Background:

  • Characterizing quantum states from devices is essential for reliable quantum technologies.
  • Current methods like quantum state tomography and Bell tests can be measurement-intensive.
  • Optimizing verification strategies is key to efficient quantum device characterization.

Purpose of the Study:

  • To identify the most efficient local verification strategy for a given 2-qubit entangled state.
  • To compare the efficiency of the optimal strategy against existing quantum state tomography and Bell test protocols.
  • To develop efficient verification protocols for stabilizer states and analyze the impact of measurement restrictions.

Main Methods:

  • Derivation of an optimal local verification strategy for 2-qubit entangled states.
  • Comparative analysis of measurement counts for the optimal strategy versus quantum state tomography, Bell tests, and fidelity estimation.
  • Development of efficient verification protocols applicable to any stabilizer state.
  • Investigation of the overhead associated with local, nonadaptive, and noncollective measurement constraints.

Main Results:

  • The optimal local verification strategy for 2-qubit states requires quadratically fewer measurements than previously published methods.
  • The proposed strategy achieves a given fidelity with significantly reduced experimental effort.
  • Efficient verification protocols are established for all stabilizer states.
  • Imposing constraints on measurements (local, nonadaptive, noncollective) results in only a constant-factor increase in required measurements.

Conclusions:

  • The developed optimal strategy offers a more resource-efficient approach to verifying entangled quantum states.
  • This work provides a significant improvement for the practical verification of 2-qubit quantum devices.
  • The findings are extendable to a broader class of quantum states (stabilizer states) and practical measurement settings.