Statistical estimation of the efficiency of quantum state tomography protocols

Area of Science:

• Quantum Information Science
• Quantum Computing
• Quantum Measurement

Background:

• Quantum state tomography is crucial for characterizing quantum systems.
• Estimating the efficiency of these protocols is essential for reliable quantum information processing.
• Current methods for efficiency estimation can be complex and resource-intensive.

Purpose of the Study:

• To introduce a novel operational method for estimating the efficiency of quantum state tomography protocols.
• To provide a tool for a priori assessment of protocol quality.
• To establish a benchmark for comparing different tomography protocols.

Main Methods:

• The proposed method utilizes a priori estimation based on universal asymptotic fidelity distribution.
• It employs the condition number as a metric, where a minimal value indicates a superior protocol.
• The approach is validated using numerical modeling and experimental implementations.

Main Results:

• The suggested method provides an effective way to estimate protocol efficiency.
• The condition number serves as a reliable indicator of protocol quality.
• Numerical and experimental results confirm the method's adequacy for practical applications.

Conclusions:

• The novel operational method offers a robust approach for evaluating quantum state tomography protocols.
• This technique facilitates the selection and optimization of protocols for quantum information tasks.
• The findings contribute to the advancement of reliable quantum state characterization.