Quantum Dynamics and Circuits
Why Quantum Circuits?
Quantum circuits provide a unifying framework for quantum many-body systems evolving in time. The most familiar use of quantum circuits are as "programs" for quantum computers to execute, or as building blocks of quantum algorithms. Just as importantly, quantum circuits can capture discretized Hamiltonian dynamics and serve as a modeling framework for dynamical phenomena such as measurement-driven transitions.
At CCQ we develop and implement methods for simulating quantum circuits using classical methods. Our work aims to push the boundaries of classical simulation methods and uncover new physical insights into the dynamical phenomena realized by quantum circuits.
One prominent simulation approach is tensor networks, which offer efficient representations and algorithms for manipulating quantum states with classical resources. In addition to core algorithms based on one-dimensional and tree tensor networks, we are developing tools for working with more general tensor network geometries—including higher-dimensional networks with loops.
Another set of methods being worked on at CCQ for quantum circuit dynamics are neural quantum states, which use a machine-learning inspired ansatz to capture complex quantum states.
Project Leaders: Miles Stoudenmire, Joseph Tindall
Project Scientists: Matthew Fishman, Roeland Wiersema, Antonio Mello