A dynamical decoupling scheme for the deterrence of errors in the non-Markovian (usually corresponding to low temperature, short time, and strong coupling) regimes suitable for qubits constructed out of a multilevel structure is studied. We use the effective spin-boson model (ESBM) introduced recently [K. Shiokawa and B. L. Hu, Phys. Rev. A70, 062106 (2004)] as a low temperature limit of the quantum Brownian oscillator model, where one can obtain exact solutions for a general environment with colored noises. In our decoupling scheme a train of pairs of strong pulses are used to evolve the interaction Hamiltonian instantaneously. Using this scheme we show that the dynamical decoupling method can suppress $1/f$ noise with slower and hence more accessible pulses than previously studied, but it still fails to decouple super-Ohmic types of environments.
展开▼
机译：研究了一种动态去耦方案，用于阻止非马尔可夫（通常对应于低温，短时间和强耦合）方案中的误差，该方案适用于由多级结构构造的量子位。我们使用最近引入的有效自旋玻色子模型（ESBM）[K. Shiokawa和B.L.Hu，物理学Rev. A70，062106（2004）]作为量子布朗振荡器模型的低温极限，在该模型中，人们可以获得具有色噪声的一般环境的精确解。在我们的解耦方案中，使用一对成对的强脉冲来瞬时发展相互作用的哈密顿量。使用这种方案，我们证明了动态去耦方法可以抑制$ 1 / f $噪声，并且比以前研究的方法更慢，因此可以访问的脉冲也更多，但是它仍然无法解耦超级欧姆类型的环境。
展开▼
