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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Partial-measurement backaction and nonclassical weak values in a superconducting circuit.

J P Groen¹, D Ristè, L Tornberg

¹Kavli Institute of Nanoscience, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, The Netherlands.

Physical Review Letters

|September 17, 2013

Summary

We demonstrate indirect partial measurement of transmon qubits using an ancilla qubit. This allows for tailored measurement strength and reveals a connection between weak values and quantum correlations.

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Area of Science:

Quantum Information Science
Circuit Quantum Electrodynamics (cQED)
Solid-State Quantum Computing

Background:

Precise qubit control and measurement are fundamental in quantum computing.
Partial measurements offer alternative strategies to full projective measurements.
Understanding measurement backaction is crucial for mitigating errors.

Purpose of the Study:

To realize indirect partial measurement of a transmon qubit.
To characterize the trade-off between measurement strength and qubit backaction.
To demonstrate the correspondence between nonclassical weak values and Leggett-Garg inequality violation in a solid-state system.

Main Methods:

Utilized interaction between a transmon qubit and an ancilla qubit.
Employed projective measurement of the ancilla qubit via a dedicated readout resonator.
Analyzed the distortion of qubit Rabi oscillations under varying measurement bases and strengths.

Main Results:

Successfully implemented indirect partial measurement of a transmon qubit.
Quantified the relationship between measurement strength and qubit backaction.
Provided a solid-state experimental demonstration linking weak values to Leggett-Garg inequality violation.

Conclusions:

Indirect partial measurement is a viable technique in circuit quantum electrodynamics.
Control over measurement basis allows for tunable measurement properties.
The experiment validates theoretical predictions connecting quantum measurement phenomena.