After many years of theoretical research, quantum computing is finally entering an era where quantum devices are actually being built. Although these
early devices lack either the size or fault-tolerance to run full-scale quantum algorithms, they are nonetheless made up of many quantum entities, or qubits. In
this talk I will show how techniques borrowed from quantum many-body physics, (integrable) field theory and random matrix theory, can be applied to better
understand and program the behaviour of these quantum devices. In particular, I will discuss applications in quantum cryptography, quantum communication and
machine learning.