Experimental demonstration of a high-fidelity virtual two-qubit gate

TL;DR

This paper experimentally demonstrates a high-fidelity virtual two-qubit gate using quantum process tomography, mid-circuit measurements, and error mitigation, enabling efficient quantum circuit simulation and remote qubit interactions.

Contribution

The paper introduces a practical method for implementing high-fidelity virtual two-qubit gates with reduced circuit evaluations and enhanced accuracy through error mitigation.

Findings

Achieved average gate fidelity of 0.9938 for the virtual CZ gate.

Implemented projection gates via mid-circuit measurements.

Reduced experimental evaluations using a deterministic sampling scheme.

Abstract

We experimentally demonstrate a virtual two-qubit gate and characterize it using quantum process tomography~(QPT). The virtual two-qubit gate decomposes an actual two-qubit gate into single-qubit unitary gates and projection gates in quantum circuits for expectation-value estimation. We implement projection gates via mid-circuit measurements. The deterministic sampling scheme reduces the number of experimental circuit evaluations required for decomposing a virtual two-qubit gate. We also apply quantum error mitigation to suppress the effect of measurement errors and improve the average gate fidelity of a virtual controlled-$Z$ (CZ) gate to $f_{\rm av} = 0.9938 \pm 0.0002$. Our results highlight a practical approach to implement virtual two-qubit gates with high fidelities, which are useful for simulating quantum circuits using fewer qubits and implementing two-qubit gates on a distant pair of qubits.