Title:Â Lattice field theory for quantum electrical circuitsÂ
Abstract: Many quantum technologies, including quantum computers, quantum sensors, & quantum-limited amplifiers are today made from superconducting quantum electrical circuits. While the de-facto microscopic theory of these systems (circuit-QED) is straightforward to solve for small circuits, it is difficult to solve the many-body Schrödinger equation associated with large circuits. This challenge limits the precision with which superconducting devices are understood and the space explored, ultimately slowing the development of hardware. In this talk I will show a lattice field theory technique for computing the properties of superconducting quantum circuits. I will apply the idea to two systems, a many-component qubit and a rudimentary model of a quantum processor, and highlight the unique advantages of the lattice method.