Qiskit中贝尔态制备的分量子比特耐噪策略

Divided-Qubit Noise-Tolerant Strategy for Bell State Preparation in Qiskit

本研究聚焦于在退极化噪声环境下实现贝尔态的高保真制备。基于Qiskit模拟, 我们提出了一种分量子比特抗噪声方案: 对控制量子比特采用动态解耦技术, 对目标量子比特实施量子纠错。实验结果表明, 该方案可将保真度维持在1. 0000, 错误率从约24%显著降低至0. 4%, 且仅需增加4个量子门操作。该方法以较低复杂度实现高保真量子纠缠, 展现出显著的实用价值, 贝尔态作为两qubit最大纠缠态的标准形式, 被广泛应用于量子隐形传态、超密编码和量子密钥分发等关键任务。然而, 真实量子系统不可避免地与环境相互作用, 导致量子态退相干, 贝尔态的保真度显著下降。现有抗扰方案主要分为两类: 动态解耦通过周期性施加脉冲抵消噪声, 量子纠错通过冗余编码修复错误。但动态解耦对多qubit系统的同步性要求极高, 量子纠错则需额外辅qubit, 导致电路复杂度呈指数增长。

This study focuses on achieving high-fidelity preparation of Bell states in depolarization noise environments. Based on Qiskit simulations, we propose a quantum-bit-by-quantum-bit noise-resistant strategy: applying dynamic decoupling to control qubits and implementing quantum error correction for target qubits. Experimental results demonstrate that this strategy maintains fidelity at 1. 0000 while significantly reducing the error rate from approximately 24% to 0. 4%, requiring only four additional quantum gate operations. The method achieves high-fidelity quantum entanglement with low complexity, showcasing significant practical value. As the standard form. of two-qubit maximum entanglement state, the Bell states are widely applied in critical tasks such as quantum teleportation, superdense coding, and quantum key distribution. However, real quantum systems inevitably interact with their environment, leading to quantum state decoherence and a significant decrease in the fidelity of the Bell state. Existing anti-jamming schemes mainly fall into two categories: dynamic decoupling through periodic pulse application to cancel noise, and quantum error correction through redundant encoding to fix errors. However, dynamic decoupling requires extremely high synchronization for multi-qubit systems, while quantum error correction necessitates additional auxiliary qubits, resulting in an exponential growth in circuit complexity.