论文标题
基于测量的量子计算机中的非马克维亚记忆
Non-Markovian memory in a measurement-based quantum computer
论文作者
论文摘要
我们研究了基于测量的量子计算，考虑了非马克维亚环境，我们研究了单个Qubit门的确切开放系统动力学。我们获得了平均栅极保真度的分析解决方案，并将其分析以进行振幅阻尼和驱动通道。我们表明，平均保真度对于X-Gate和Z-Gate是相同的，并且射影测量的快速应用不一定意味着高门的忠诚度，而缓慢的应用不一定意味着低门的保真度。的确，对于高度非马克维亚环境来说，了解执行测量结果的最佳时间至关重要，因为在这种情况下，可能会发生巨大的gate保真度差异。此外，我们表明，尽管对于振幅减弱，耗散图的知识足以确定最佳的测量时间，即采取措施的最佳时间，但相同的时间不一定是相同的。在后来，一组度量的时间变得至关重要，因为一个量子位中的相误差可以修复另一个量子的相位误差。
We study the exact open system dynamics of single qubit gates during a measurement-based quantum computation considering non-Markovian environments. We obtain analytical solutions for the average gate fidelities and analyze it for amplitude damping and dephasing channels. We show that the average fidelity is identical for the X-gate and Z-gate and that neither fast application of the projective measurements necessarily implies high gate fidelity, nor slow application necessarily implies low gate fidelity. Indeed, for highly non-Markovian environments, it is of utmost importance to know the best time to perform the measurements, since a huge variation in the gate fidelity may occur given this scenario. Furthermore, we show that while for the amplitude damping the knowledge of the dissipative map is sufficient to determine the best measurement times, i.e. the best times in which measures are taken, the same is not necessarily true for the phase damping. To the later, the time of the set of measures becomes crucial since a phase error in one qubit can fix the phase error that takes place in another.
