Construction of controlled-NOT gate based on microwave-activated phase (MAP) gate in two transmon system

TL;DR

This paper demonstrates an all-microwave controlled-NOT gate using a microwave-activated phase (MAP) scheme in two transmon qubits, including phase compensation and quantum process tomography, with an application to Deutsch-Jozsa algorithm.

Contribution

It introduces a novel all-microwave cNOT gate scheme based on the MAP gate with phase compensation in transmon qubits.

Findings

Achieved high-fidelity cNOT gate performance.

Successfully implemented Deutsch-Jozsa algorithm.

Validated the gate with quantum process tomography.

Abstract

We experimentally constructed an all-microwave scheme for the controlled-NOT (cNOT) gate between two superconducting transmon qubits in a three dimensional cavity. Our cNOT gate is based on the microwave-activated phase (MAP) gate, which requires an additional procedure to compensate the accumulated phases during the operation of the MAP gate. We applied Z-axis phase gates using microwave hyperbolic secant pulse on both qubits with adequate rotation angles systematically calibrated by separate measurements.We evaluated the gate performance of the constructed cNOT gate by performing two-qubit quantum process tomography (QPT). Finally, we present the experimental implementation of Deutsch-Jozsa algorithm using the cNOT gate.