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Benchmarking Maximum-Likelihood State Estimation with an Entangled Two-Cavity State.

V Métillon1, S Gerlich1, M Brune1

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Summary
This summary is machine-generated.

Researchers experimentally implemented an efficient quantum state reconstruction algorithm on entangled microwave cavities. This method precisely reconstructs complex quantum states, offering realistic error bars for quantum system analysis.

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Area of Science:

  • Quantum Information Science
  • Atomic Physics
  • Cavity Quantum Electrodynamics

Background:

  • Quantum state reconstruction is crucial for characterizing quantum systems.
  • Previous algorithms require efficient experimental implementation for complex states.
  • Entangled microwave cavities offer a promising platform for quantum information processing.

Purpose of the Study:

  • To experimentally implement an efficient quantum state reconstruction algorithm.
  • To reconstruct the nonlocal state of two entangled microwave cavities.
  • To validate the precision and applicability of the algorithm for complex quantum systems.

Main Methods:

  • Experimental implementation of Six et al.'s quantum state reconstruction algorithm.
  • Utilizing long sequences of measurements from resonant and dispersive probe atoms.
  • Consolidating information from different measurement protocols within a single reconstruction.
  • Characterizing decoherence timescales of the entangled system.

Main Results:

  • Successful experimental reconstruction of the nonlocal quantum state of two entangled microwave cavities.
  • Obtained realistic error bars for the density operator's matrix elements.
  • Demonstrated the algorithm's precision and pertinence through experimental validation.

Conclusions:

  • The implemented algorithm accurately reconstructs complex quantum states.
  • The method is directly applicable to various complex quantum systems.
  • Experimental validation confirms the algorithm's efficiency and precision for quantum state tomography.