Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 15: Quantum Dynamics, Decoherence, Quantum Information

DY 15.12: Vortrag

Dienstag, 21. März 2017, 12:30–12:45, ZEU 160

Understanding errors in digital quantum simulation of fermionic systems — •Jan-Michael Reiner, Sebastian Zanker, Iris Schwenk, Juha Leppäkangas, and Michael Marthaler — Institut für Theoretische Festörperphysik, Karlsruhe Institute of Technology (KIT)

The simulation of complex fermionic systems is one of the most anticipated applications of quantum computing. Various properties of such systems can be described by time-dependent correlation functions of two fermionic operators. Fermions can be mapped onto qubits, e.g., via the Jordan-Wigner transformation. We discuss how (anti-)time sorted correlation functions can be measured in the qubit system. Deploying Keldish formalism, we investigate the effects of relaxation, and dephasing of the qubits, as well as gate errors in an quantum algorithm using the Trotter expansion. We analyze how this translates to a simulated fermionic system, allowing for qualitative understanding of errors of a quantum simulation.