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Bundled graph states offer robust quantum metrology, maintaining quantum advantage even with noise. This research quantifies their utility, showing their potential for precise measurements in realistic quantum systems.

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Area of Science:

  • Quantum Information Science
  • Quantum Metrology

Background:

  • Quantum metrology uses entangled states for precision beyond classical limits.
  • Highly entangled states are fragile and susceptible to noise, challenging practical applications.
  • Graph states are a key resource in quantum information processing.

Purpose of the Study:

  • To investigate the practicality of graph states for robust quantum metrology.
  • To characterize the quantum Fisher information of arbitrary graph states.
  • To identify graph state families that maintain quantum advantage under realistic noise conditions.

Main Methods:

  • Characterized quantum Fisher information for arbitrary graph states.
  • Constructed 'bundled graph states' approximating the Heisenberg limit.
  • Simulated the effect of dephasing and erasure noise on bundled graph states.

Main Results:

  • Bundled graph states approximately achieve the Heisenberg limit.
  • These states maintain a quantum advantage under independent and identically distributed dephasing.
  • Bundled graph states also show resilience against finite erasure noise.
  • Quantified the number of useful n-qubit stabilizer states for metrology.

Conclusions:

  • Bundled graph states are a promising resource for robust quantum metrology.
  • These states offer a practical pathway to achieving high-precision quantum measurements in noisy environments.
  • The findings contribute to understanding the utility of stabilizer states in quantum sensing.