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Quantum Information Processing

Quantum iSWAP gate in optical cavities with a cyclic three-level system

Guo-An Yan, Haoxue Qiao, Hua Lu

Published Feb 15, 2018• 7 citations
Publisher
DOI
10.1007/s11128-018-1836-7

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Journal of Optical Technology•Nov 1, 2021•0 citations
Abstract Based on a cavity QED framework, we theoretically describe a universal set of logic gates which are implemented by passing a multi-level atom initially in its ground state through a multi-mode cavity. The qubits are encoded on the cavity modes and the atom plays the role of an ancilla which will not be entangled with the final result of a gate operation. We apply the multiphoton resonance theory of Shore to develop effective two- and three-level Hamiltonians, so that the proper values for detunings, coupling coefficients, and interaction times for gate operations can be determined. This enables us to examine a faster iSWAP gate than our previous study and to examine numerically the effects of decoherence on both the iSWAP gate and our previously presented Fredkin gate which used the same multi-mode approach. We also present results that show how conditional measurements of the ancilla atom can improve gate fidelities in these cases.
In this paper, quantum process tomography of the designed photonic-qubit-based deterministic iSWAP gate has been done and compared with the ideal iSWAP gate. The gate is designed and simulated using a resonator as a coupler. The performance (fidelity and concurrence) of the designed iSWAP gate has been analytically investigated. The effect of cavity parameters (coupling strength and cavity mode decay rate) on performance of the designed iSWAP gate has been observed. A maximum fidelity of 47.06% is obtained at a coupling strength of 0.02 and cavity mode decay rate of 0.0005, and a maximum concurrence of 0.474 is obtained at a coupling strength of 0.02 and cavity mode decay rate of 0. The research work reported in this paper can be used for further investigation and implementation of quantum information processing systems.