Quantum State Designs from Minimally Random Quantum Circuits

Understand

Random many-body states are both a useful tool to model certain physical systems and an important asset for quantum computation.

• Realising them, however, generally requires an exponential (in system size) amount of resources.
• Recent research has presented a way out by showing that one can generate random states, or more precisely a controlled approximation of them, by applying a quantum circuit built in terms of few-body unitary gates.
• Most of this research, however, has been focussed on the case of quantum circuits composed by completely random unitary gates.