Regensburg 2019 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 44: Correlated Electrons: Method Development
TT 44.11: Vortrag
Mittwoch, 3. April 2019, 17:45–18:00, H7
Quantum dynamics via universal quantum gates emulated with matrix product states — •Constantin Meyer1, Sebastian Paeckel1, Robert Schade2, Salvatore R. Manmana1, and Thomas Köhler1 — 1Institut für Theoretische Physik, Georg-August-Universität Göttingen, Germany — 2Institut für Theoretische Physik, Technische Universität Clausthal, Germany
As quantum-computation devices are currently under development, but have only a small number of qubits, it is interesting to ask whether one can emulate gate-based quantum computations for certain simple cases using a classical computer. Often, approaches based on exact diagonalizations and a complete representation of the states are used, which severely restrict the number of emulated qubits. Here, we use matrix-product states, which allow for the treatment of significantly more qubits. We implement the time evolution of a many-body Hamiltonian in this setup by formulating the Trotter decomposition via universal gates. The matrix-product operators of these gates are represented as finite-states machines. This allows us to test the reliability of the implemented emulator by comparing time evolutions to exact results.