Universal control of a bosonic mode via drive-activated native cubic interactions

Axel M. Eriksson (), Théo Sépulcre, Mikael Kervinen, Timo Hillmann, Marina Kudra, Simon Dupouy, Yong Lu, Maryam Khanahmadi, Jiaying Yang, Claudia Castillo-Moreno, Per Delsing and Simone Gasparinetti ()
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Axel M. Eriksson: Chalmers University of Technology
Théo Sépulcre: Chalmers University of Technology
Mikael Kervinen: Chalmers University of Technology
Timo Hillmann: Chalmers University of Technology
Marina Kudra: Chalmers University of Technology
Simon Dupouy: Chalmers University of Technology
Yong Lu: Chalmers University of Technology
Maryam Khanahmadi: Chalmers University of Technology
Jiaying Yang: Chalmers University of Technology
Claudia Castillo-Moreno: Chalmers University of Technology
Per Delsing: Chalmers University of Technology
Simone Gasparinetti: Chalmers University of Technology

Nature Communications, 2024, vol. 15, issue 1, 1-9

Abstract: Abstract Linear bosonic modes offer a hardware-efficient alternative for quantum information processing but require access to some nonlinearity for universal control. The lack of nonlinearity in photonics has led to encoded measurement-based quantum computing, which relies on linear operations but requires access to resourceful (’nonlinear’) quantum states, such as cubic phase states. In contrast, superconducting microwave circuits offer engineerable nonlinearities but suffer from static Kerr nonlinearity. Here, we demonstrate universal control of a bosonic mode composed of a superconducting nonlinear asymmetric inductive element (SNAIL) resonator, enabled by native nonlinearities in the SNAIL element. We suppress static nonlinearities by operating the SNAIL in the vicinity of its Kerr-free point and dynamically activate nonlinearities up to third order by fast flux pulses. We experimentally realize a universal set of generalized squeezing operations, as well as the cubic phase gate, and exploit them to deterministically prepare a cubic phase state in 60 ns. Our results initiate the experimental field of polynomial quantum computing, in the continuous-variables notion originally introduced by Lloyd and Braunstein.

Date: 2024
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DOI: 10.1038/s41467-024-46507-1

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