P12 - Tensor Networks and Quantum Circuits for Quantum Computers

Frank Verstraete


Tensor networks provide a new paradigm in many body physics by which the entanglement structure of the correlated system can be probed directly. Symmetries, topological phases and the breaking thereof are reflected into the symmetries of the local tensors. Such a tensor network description of a quantum many body system or quantum field theory automatically yields a quantum circuit description by which a quantum computer would be able to simulate such field theories. Conversely, representing entangled states of matter on a quantum computer is tightly linked to the problem of quantum error correction, as it is precisely the nonlocal degrees of freedom which can be exploited to safeguard the qubits. The long-term goals and visions of this project are to develop a unified theory based on tensor networks and quantum circuits for describing entanglement in many body systems and using this structure to build robust fault tolerant quantum computers.


Subproject Leader: Frank Verstraete

Co-PI: Martin Veznik