论文标题
通过动态解耦,在平等时代对称的非温和汉密尔顿人中保护量子演变
Protection of quantum evolutions under parity-time symmetric non-Hermitian Hamiltonians by dynamical decoupling
论文作者
论文摘要
平等时代(PT)对称的非温和汉密尔顿人带来了许多新颖的功能和有趣的应用,例如量子门的速度比Hermitian系统中的量子更快,以及拓扑状态转移。在$ \ Mathcal {pt} $ - 对称的汉密尔顿人下的演变的表现因系统 - 环境的相互作用和实验缺陷而导致的不可避免的噪声和错误降低。与Hermitian Hamiltonians相反,耗散束的波动被用来在PT-对称的Hamiltonians中产生非热贡献会导致其他错误。在这里,我们通过将量子进化与动态去耦序列相结合,来保护PT对称性汉密尔顿人免受沿量子量量轴的噪声的保护。我们通过数值模拟演示了我们方法的性能。选择了现实的噪声源和参数,包括:恒定引起的误差,时间变化的失呼噪声和耗散梁噪声。在上述所有情况下,受保护的演变的保真度远远超过了未受保护的忠诚。我们的作品为非噪声量子系统中非富裕$ \ Mathcal {pt} $ - 对称物理的进一步研究和应用铺平了道路。
Parity-time (PT) symmetric non-Hermitian Hamiltonians bring about many novel features and interesting applications such as quantum gates faster than those in Hermitian systems, and topological state transfer. The performance of evolutions under $\mathcal{PT}$-symmetric Hamiltonians is degraded by the inevitable noise and errors due to system-environment interaction and experimental imperfections. In contrast to Hermitian Hamiltonians, the fluctuations in dissipative beams that are utilized to generate non-Hermitian contributions in the PT-symmetric Hamiltonians cause additional errors. Here we achieve the protection of PT-symmetric Hamiltonians against noise acting along the qubit's quantization axis by combining quantum evolutions with dynamical decoupling sequences. We demonstrate the performance of our method by numerical simulations. Realistic noise sources and parameters are chosen including: constant detuning error, time-varying detuning noise and dissipative-beam noise. The fidelities of the protected evolutions are well above the unprotected ones under all the above situations. Our work paves the way for further studies and applications of non-Hermitian $\mathcal{PT}$-symmetric physics in noisy quantum systems.