论文标题
耗散量子系统向振荡器的有限能源网格状态的指数收敛
Exponential convergence of a dissipative quantum system towards finite-energy grid states of an oscillator
论文作者
论文摘要
根据稳定器形式校正校正校正校正（QEC），提出了针对量子谐波振荡器密度操作员的原始Lindblad主方程的设计。这种Lindblad动力学稳定在2001年由Gottesman，Kitaev和Preskill进行量子计算引入的有限能源网格状态。稳定化是由指数的Lyapunov函数引起的，其收敛速率具有明显的下限。数值模拟表明存在这种自主QEC在不可忽略的光子损失的情况下的潜在兴趣。
Based on the stabilizer formalism underlying Quantum Error Correction (QEC), the design of an original Lindblad master equation for the density operator of a quantum harmonic oscillator is proposed. This Lindblad dynamics stabilizes exactly the finite-energy grid states introduced in 2001 by Gottesman, Kitaev and Preskill for quantum computation. Stabilization results from an exponential Lyapunov function with an explicit lower-bound on the convergence rate. Numerical simulations indicate the potential interest of such autonomous QEC in presence of non-negligible photon-losses.
