Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 105: Focus Session: Mesoscopic Superconductivity and Quantum Circuits

TT 105.4: Invited Talk

Friday, March 16, 2018, 11:15–11:45, H 0104

Estimating the Error of an Analog Quantum Simulator by Additional Measurements — •Michael Marthaler — Theoretische Physik, Universität des Saarlandes — Institut für die Theorie der Kondensierten Materie, Karlsruher Institut für Technologie

We study an analog quantum simulator coupled to a reservoir with a known spectral density. The reservoir perturbs the quantum simulation by causing decoherence. The simulator is used to measure an operator average, which cannot be calculated using any classical means. Since we cannot predict the result, it is difficult to estimate the effect of the environment. Especially, it is difficult to resolve whether the perturbation is small or if the actual result of the simulation is in fact very different from the ideal system we intend to study. Here, we show that in specific systems a measurement of additional correlators can be used to verify the reliability of the quantum simulation. The procedure only requires additional measurements on the quantum simulator itself. We demonstrate the method theoretically in the case of a single spin connected to a bosonic environment.