Calderon-Vargas F A, Kestner J P
Department of Physics, University of Maryland Baltimore County, Baltimore, Maryland 21250, USA.
Phys Rev Lett. 2017 Apr 14;118(15):150502. doi: 10.1103/PhysRevLett.118.150502. Epub 2017 Apr 10.
We derive a set of composite pulse sequences that generates cnot gates and correct all systematic errors within the logical subspace to arbitrary order. These sequences are applicable for any two-qubit interaction Hamiltonian and make no assumptions about the underlying noise mechanism except that it is constant on the time scale of the operation. We do assume access to high-fidelity single-qubit gates, so single-qubit gate imperfections eventually limit the achievable fidelity. However, since single-qubit gates generally have much higher fidelities than two-qubit gates in practice, these pulse sequences offer useful dynamical correction for a wide range of coupled qubit systems.
我们推导了一组复合脉冲序列，该序列可生成受控非门（CNOT门）并将逻辑子空间内的所有系统误差校正到任意阶数。这些序列适用于任何两比特相互作用哈密顿量，并且除了在操作的时间尺度上是恒定的之外，不对潜在的噪声机制做任何假设。我们确实假设可以使用高保真单比特门，因此单比特门的不完美最终会限制可实现的保真度。然而，由于在实际中，单比特门的保真度通常比两比特门高得多，所以这些脉冲序列为广泛的耦合量子比特系统提供了有用的动态校正。
