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Optimal fidelity estimation for density matrix.

Yiping Lu1, Liyu Lai2, Jun Xiang2

  • 1Institute of Optoelectronic Technology, China Jiliang University, Hangzhou, 310018, China. 20a0402180@cjlu.edu.cn.

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We developed optimal fidelity estimation to reduce quantum state copies needed for noise evaluation. This method significantly saves resources compared to traditional direct fidelity estimation.

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Area of Science:

  • Quantum Information Science
  • Quantum Computation and Measurement

Background:

  • Fidelity estimation is crucial for assessing noise in quantum systems.
  • Traditional direct fidelity estimation requires a substantial number of quantum state copies.

Purpose of the Study:

  • To develop an optimized fidelity estimation method.
  • To reduce the number of quantum state copies required for accurate noise evaluation.

Main Methods:

  • Proposed an optimal fidelity estimation model.
  • Calculated the minimum state copies for a fixed fidelity deviation.

Main Results:

  • The optimal method significantly reduces state copies compared to direct fidelity estimation.
  • State copy requirements scale sub-linearly with matrix dimension using Pauli measurements.
  • Constant state copy requirements are achieved with freely chosen measurement bases.

Conclusions:

  • Optimal fidelity estimation offers a resource-efficient approach to quantum noise assessment.
  • This method enhances the practicality of quantum measurement and computation.