Bosonic modes have wide applications in various quantum technologies, such as optical photons for quantum communication, magnons in spin ensembles for quantum information storage and mechanical modes for reversible microwave-to-optical quantum transduction. There is emerging interest in utilizing bosonic modes for quantum information processing, with circuit quantum electrodynamics (circuit QED) as one of the leading architectures. Quantum information can be encoded into subspaces of a bosonic superconducting cavity mode with long coherence time. However, standard Gaussian operations (e.g., beam splitting and two-mode squeezing) are insufficient for universal quantum computing. The major challenge is to introduce additional nonlinear control beyond Gaussian operations without adding significant bosonic loss or decoherence. Here we review recent advances in universal control of a single bosonic code with superconducting circuits, including unitary control, quantum feedback control, driven-dissipative control and holonomic dissipative control. Various approaches to entangling different bosonic modes are also discussed.

玻色子模式在各种量子技术中有着广泛的应用，例如用于量子通信的光学光子、用于量子信息存储的自旋系综中的磁振子和用于可逆微波到光量子转换的机械模式。人们对利用玻色子模式进行量子信息处理产生了新的兴趣，其中电路量子电动力学（电路 QED）是领先的架构之一。量子信息可以编码到具有长相干时间的玻色子超导腔模式的子空间中。然而，标准的高斯运算（例如，分束和双模压缩）不足以用于通用量子计算。主要的挑战是在不增加显着的玻色子损失或退相干的情况下，在高斯运算之外引入额外的非线性控制。在这里，我们回顾了使用超导电路对单个玻色子代码进行通用控制的最新进展，包括酉控制、量子反馈控制、驱动耗散控制和完整耗散控制。还讨论了纠缠不同玻色子模式的各种方法。