Single quantum rotation gates can be perfectly implemented in a closed system using the controlled adiabatic evolutions process proposed by Itay Hen that may lead to build some quantum circuit blocks [Phys. Rev. A, 022309 (2015)]. These adiabatic evolutions yield to vanishing geometric phases. In this work, we extended Itay’s work by considering a more realistic model where the qubits are subjected to decoherence effects during the adiabatic evolution process. We demonstrate that, in the case of an open system, the decoherence leads to nonvanishing geometric phases and drastically reduces the performance of the quantum rotation gates bellow the fidelity target (0.999).

中文翻译：

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开放系统中具有受控绝热演化的旋转门

使用 Itay Hen 提出的受控绝热演化过程可以在封闭系统中完美实现单量子旋转门，这可能会导致构建一些量子电路块 [Phys. 修订版 A，022309 (2015)]。这些绝热演化产生消失的几何相。在这项工作中，我们通过考虑一个更现实的模型来扩展 Itay 的工作，其中量子比特在绝热演化过程中受到退相干效应。我们证明，在开放系统的情况下，退相干导致几何相位不消失，并大大降低了低于保真度目标 (0.999) 的量子旋转门的性能。