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FM: Fall Meeting

FM 42: Poster: Quantum Computation

FM 42.6: Poster

Dienstag, 24. September 2019, 16:30–18:30, Tents

Gaussian Sums on the IBM Q Experience — •Alexander Wolf¹ and Wolfgang Schleich^1,2 — ¹Institut für Quantenphysik, Universität Ulm, D-89069 Ulm, Germany — ²Institute for Quantum Science and Engineering (IQSE), Department of Physics and Astronomy, Texas A&M University, College Station, TX 77843, USA

Using the IBM Quantum Experience we investigate two qubits implementing a state which resembles a special case of a Gaussian sum. That state is a superposition of the four two-qubits basis states with phases rising quadratically in the summation index. Hence, measuring this state in the superposition basis yields the modulus squared of the sum hidden within the statistics of multiple runs. We construct an explicit gate sequence and run it for different time parameters that determine the phases. Subsequently a one-parameter Kraus decomposition is used to explain the difference between results of the quantum and classical calculation.