研究目的
To propose an efficient scheme for implementing the universal controlled-phase gate with logical qubits encoded in the superpositions of 2d circularly distributed coherent states, which can protect quantum information against the (d ? 1)-photon loss errors.
研究成果
The proposed scheme demonstrates high fidelity for controlled-phase gates with larger d, making it promising for quantum computation in circuit QED systems. The average gate fidelity reaches 0.9955 for d = 8, indicating robustness against system imperfections.
研究不足
The scheme's performance is affected by photon loss, qubit relaxation, and Kerr nonlinearity. The gate fidelity decreases with increased photon loss rates and nonlinearity strength.
1：Experimental Design and Method Selection:
The scheme involves engineering dispersive interaction between microwave cavity modes and a multilevel transmon ancilla in a circuit QED system. The logical qubits are encoded in superpositions of 2d coherent states.
2：Sample Selection and Data Sources:
The system consists of two superconducting microwave resonators and a transmon mode modeled as a highly anharmonic oscillator.
3：List of Experimental Equipment and Materials:
The setup includes microwave resonators, a transmon ancilla, and a Josephson junction for introducing nonlinearity.
4：Experimental Procedures and Operational Workflow:
The process involves initializing the system, applying a controlled-phase gate through dispersive interaction, and measuring the output to assess fidelity.
5：Data Analysis Methods:
Numerical simulations using QuTiP to study the influence of photon loss, qubit relaxation, and Kerr nonlinearity on the gate fidelity.
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