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Summary

This summary is machine-generated.

This study introduces a new measurement scheme for analog quantum simulators, enabling efficient estimation of correlation functions. The method is practical for current experimental platforms, enhancing quantum device readout capabilities.

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Area of Science:

Quantum Information Science
Condensed Matter Physics

Background:

Classical shadow schemes are vital for digital quantum device readout.
Analog quantum simulators lack similar practical measurement tools.

Purpose of the Study:

Develop a practical measurement scheme for analog quantum simulators.
Estimate second and fourth order correlation functions in fermionic systems.

Main Methods:

Utilize free fermionic, translationally invariant evolutions (quenches).
Employ measurements in the mode occupation number basis.
Characterize recoverable correlation functions and sample complexities.

Main Results:

Developed a scheme for estimating correlation functions in fermionic quantum devices.
Provided rigorous bounds on sample complexities for the estimation.
Demonstrated approximate implementation using nearest-neighbor hopping quenches.

Conclusions:

Brings classical shadow concepts to large-scale analog quantum simulators.
Offers a practical approach for current experimental requirements.
Facilitates enhanced readout and characterization of quantum simulators.