Bosonic modes are ubiquitous in various quantum information processing systems (e.g., resonators and cavities in superconducting systems, motional modes in trapped-ion systems, and light modes in optical systems). However, they often play limited roles in many proposed quantum protocols. In this talk, I will present unique opportunities that bosonic modes can offer when they are used as primary information carriers in quantum computing and communication settings. In the first part of the talk, I will give an overview of bosonic quantum error correction (QEC) and show how the infinite dimensionality of a bosonic Hilbert space can be utilized to reduce the resource overheads for performing QEC, an essential ingredient for building a fault-tolerant quantum computer. As a concrete example, I will present an experimental demonstration of hardware-efficient QEC using a repetition cat code in which noise-biased bosonic cat qubits are concatenated with a simple, one-dimensional repetition code. In the second part of the talk, I will introduce the concept of quantum capacity in quantum communication theory and discuss its close connection with QEC. I will then discuss the open problem of determining the quantum capacity of bosonic Gaussian channels and present the progress I have made on this problem from both information-theoretic and bosonic-QEC perspectives. I will conclude the talk with a discussion of the frontiers of bosonic QEC and future research directions.