Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session W47: Superconducting Bosonic and GKP Qubits
3:00 PM–5:48 PM,
Thursday, March 7, 2024
Room: 200CD
Sponsoring
Unit:
DQI
Chair: Long Nguyen, University of California, Berkeley
Abstract: W47.00009 : Autonomous stabilization of Gottesman-Kitaev-Preskill states in an LC-circuit strongly driven via a Josephson junction*
4:36 PM–4:48 PM
Presenter:
Max Geier
(University of Copenhagen)
Authors:
Max Geier
(University of Copenhagen)
Karsten Flensberg
(Univ of Copenhagen)
Frederik S Nathan
(University of Copenhagen)
Here, we show how GKP states can be realized in a simple LC-circuit connected to an AC voltage source via a Josephson junction. The nonlinear Josephson junction converts the voltage oscillations to an effective potential for the LC circuit whose ground states are GKP states. The driven LC circuit relaxes to these GKP ground states when coupled to a thermal bath through a finite-bandwidth filter. This relaxation autonomously corrects phase and amplitude errors, extending the lifetime of the logical qubit through dissipative quantum error correction. We describe gate operations, estimate experimental requirements, and find that the technological requirements for our proposal can be met using demonstrated elements in Al/Al-Ox superconductor heterostructures.
[1] Gottesman, Kitaev, and Preskill, Phys. Rev. A 64, 012310 (2001)
[2] Sivak et al., Nature 616, 50-55 (2023)
*M.G. and K.F. acknowledge support by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program under grant agreement No. 856526, and from the Danish National Research Foundation, the Danish Council for Independent Research | Natural Sciences. F.N. was supported by the Carlsberg Foundation, grant CF22-0727.
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