论文标题
具有Majorana和Morris-Shore动态对称性与脉冲列的多态量子系统的相干相互作用
Coherent interaction of multistate quantum systems possessing the Majorana and Morris-Shore dynamic symmetries with pulse trains
论文作者
论文摘要
我们提出了精确的分析公式，该公式描述了具有Majorana和Morris-Shore动态对称性的多态量子系统的相互作用。脉冲列场可以看作是量子系统与相同场的重复相互作用，因此总体传播器表示为单脉冲传播器的基质功率。由于Majoraana和Morris-Shore的对称性，多层动力学的特征是内在的两态特征，由一对复杂值的Cayley-Klein参数描述。这有助于链接单步和多步繁殖器的显式公式的推导。这种分析关系的可用性为各种应用开辟了前景，例如，相干脉冲序列相互作用的分析描述，或对准确的量子栅极误差的相干放大，以用于量子，Qutrits，Qutrits和通常Qudits的准确量子栅极层析成像。
We present exact analytic formulae which describe the interaction of multistate quantum systems possessing the Majorana and Morris-Shore dynamic symmetries with a train of pulses. The pulse train field can be viewed as repeated interactions of the quantum system with the same field and hence the overall propagator is expressed as the matrix power of the single-pulse propagator. Because of the Majorana and Morris-Shore symmetries the multistate dynamics is characterised by intrinsic two-state features, described by one or more pairs of complex-valued Cayley-Klein parameters. This facilitates the derivation of explicit formulae linking the single-step and multi-step propagators. The availability of such analytic relations opens the prospects for a variety of applications, e.g., analytic description of coherent pulse train interactions, or coherent amplification of quantum gate errors for accurate quantum gate tomography for ensembles of qubits, qutrits and generally qudits.
