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Direct Wigner Tomography of a Superconducting Anharmonic Oscillator

Yoni Shalibo, Roy Resh, Ofer Fogel, David Shwa, Radoslaw Bialczak, John M. Martinis, Nadav Katz

DOI 10.1103/PhysRevLett.110.100404 · Physical Review Letters

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Abstract

The analysis of wave-packet dynamics may be greatly simplified when viewed in phase space. While harmonic oscillators are often used as a convenient platform to study wave packets, arbitrary state preparation in these systems is more challenging. Here, we demonstrate a direct measurement of the Wigner distribution of complex photon states in an anharmonic oscillator—a superconducting phase circuit, biased in the small anharmonicity regime. We apply our method on nondispersive wave packets to explicitly show phase locking in states prepared by a frequency chirp. This method requires a simple calibration, and is easily applicable in our system out to the fifth level.

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