Experimental Study of Optimal Measurements for Quantum State Tomography

Area of Science:

• Quantum Information Science
• Quantum Computing Hardware

Background:

• Quantum tomography is crucial for assessing the performance and fidelity of quantum devices.
• Developing efficient and accurate measurement strategies is essential for practical quantum hardware evaluation.

Purpose of the Study:

• To compare the accuracy and efficiency of different quantum tomography measurement strategies.
• To investigate the impact of measurement errors on various tomography strategies.

Main Methods:

• Utilized nearly pure test states for comparative analysis.
• Evaluated strategies for informational completeness across different quantum states.
• Assessed strategy performance under simulated measurement errors.

Main Results:

• Informationally complete strategies for all states demonstrated high accuracy and reliability, even with measurement errors.
• Strategies optimized solely for pure states showed greater efficiency but were highly susceptible to measurement inaccuracies.
• Identified inherent trade-offs between accuracy, efficiency, and error resilience in quantum tomography.

Conclusions:

• The choice of quantum tomography strategy involves a fundamental trade-off between efficiency and robustness to errors.
• For reliable quantum hardware evaluation, strategies ensuring completeness for all states are preferred despite potential efficiency costs.