Freiburg 2019 – wissenschaftliches Programm
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FM: Fall Meeting
FM 85: Poster: Enabling Technologies: Cavity QED
FM 85.3: Poster
Donnerstag, 26. September 2019, 16:30–18:30, Tents
Quantum Fourier Transform in Oscillating Modes — •Qi-Ming Chen1,2, Frank Deppe1,2,3, Stefan Pogorzalek1,2, Michael Renger1,2, Kirill G. Fedorov1,2, Matti Partanen1,2, Achim Marx1, and Rudolf Gross1,2,3 — 1Walther-Meißner-Institut, Bayerische Akademie der Wissenschaften, 85748 Garching, Germany — 2Physik-Department, TU München, 85748 Garching, Germany — 3Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 Munich, Germany
Quantum Fourier transform (QFT) is the key ingredient for many quantum algorithms. Typical applications of QFT, such as phase estimation, require a considerable number of qubits as well as a square number of quantum gates to form a Hilbert space large enough for generating high-precision results. Even though qubit recycling can be used to realize semi-classical FT with a single ancilla qubit in problems related to phase estimation, one pays the price of repeated measurements and feedforward throughout the process. In this work, we map the qubit state onto an oscillating mode with an infinite-dimensional Hilbert space, and implement QFT by means of two coupled oscillating modes with cross-Kerr interaction. This method enables high-dimensional fully-quantum FT with state-of-the-art superconducting quantum circuits.
We acknowledge support by the Germany’s Excellence Strategy EXC-2111-390814868, Elite Network of Bavaria through the program ExQM, the European Union via the Quantum Flagship project QMiCS (Grant No. 820505).