论文标题
与海森贝格 - 韦尔可观察的OAM层析成像
OAM tomography with Heisenberg-Weyl observables
论文作者
论文摘要
携带轨道角动量（OAM）的光子是出色的Qudits，可在多种应用中广泛使用，例如长距离量子通信，$ d $维二维传送，以及高分辨率的成像和计量。所有这些协议都依靠量子断层扫描来表征OAM状态，OAM状态当前需要涉及空间光调节器和模式过滤器的复杂测量。为了简化OAM态的测量和表征，我们在这里应用了最新的断层扫描协议[Asadian等，\ pra {\ bf 94}，010301（2016）]。我们在$ d $尺寸中使用的OAM层析成像方案只需要在模式量子位上的一组测量值，即二维系统。这将OAM测量值的当前复杂性取代了OAM状态上的通用Pauli操作员$ X_D，Z_D $的能力。我们的计划可以原则上适应其他自由度，从而为更复杂的Qudit层析成像开辟了道路。
Photons carrying orbital angular momentum (OAM) are excellent qudits and are widely used in several applications, such as long distance quantum communication, $d$-dimensional teleportation and high-resolution imaging and metrology. All these protocols rely on quantum tomography to characterise the OAM state, which currently requires complex measurements involving spatial light modulators and mode filters. To simplify the measurement and characterisation of OAM states, here we apply a recent tomography protocol [Asadian et al., \pra {\bf 94}, 010301 (2016)]. Our scheme for OAM tomography in $d$ dimensions requires only a set of measurements on a mode qubit, i.e., a 2-dimensional system. This replaces the current complexity of OAM measurements by the ability to perform generalized Pauli operators $X_d, Z_d$ on OAM states. Our scheme can be adapted in principle to other degrees of freedom, thus opening the way for more complex qudit tomography.
