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Multiparameter Estimation with Two-Qubit Probes in Noisy Channels.

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  • 1Centre for Quantum Computation and Communication Technology, Department of Quantum Science, Australian National University, Canberra, ACT 2601, Australia.

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Summary
This summary is machine-generated.

This study compares single- and two-qubit probes for quantum phase estimation under noise. Two-qubit probes generally offer better precision, but single-qubit probes can outperform entangled probes in very noisy conditions.

Keywords:
Cramér-Rao boundcollective measurementsentanglementquantum metrology

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Area of Science:

  • Quantum Information Science
  • Quantum Metrology
  • Quantum Sensing

Background:

  • Quantum systems are susceptible to noise, which degrades performance in parameter estimation.
  • Understanding the impact of noise on quantum probes is crucial for developing robust quantum technologies.
  • Simultaneous estimation of multiple parameters presents unique challenges in quantum metrology.

Purpose of the Study:

  • To compare the performance of single- and two-qubit probes for simultaneous phase rotation estimation.
  • To determine the quantum limits of estimation under various noisy quantum channels.
  • To identify optimal probe states and measurement strategies for enhanced quantum sensing.

Main Methods:

  • Evaluation of Holevo and Nagaoka-Hayashi Cramér-Rao bounds for quantum limits.
  • Analysis of probe performance under decohering, amplitude damping, and phase damping channels.
  • Identification of optimal single- and two-qubit probes and measurement strategies.

Main Results:

  • Two-qubit probes generally outperform single-qubit probes in noisy environments for parameter estimation.
  • Single-qubit probes can achieve better precision than entangled two-qubit probes in highly noisy channels.
  • The Holevo bound was investigated for collective measurements on multiple probe copies.

Conclusions:

  • Entanglement is essential for achieving ultimate precision limits in quantum mechanics, both in state preparation and measurement.
  • The choice of probe (single- vs. two-qubit) and measurement strategy significantly impacts estimation precision under noise.
  • This work provides insights into optimizing quantum sensing protocols in the presence of realistic noise.