Universal Gate Set for Continuous-Variable Quantum Computation with Microwave Circuits

Timo Hillmann, Fernando Quijandría, Göran Johansson, Alessandro Ferraro, Simone Gasparinetti, Giulia Ferrini

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
49 Downloads (Pure)


We provide an explicit construction of a universal gate set for continuous-variable quantum computation with microwave circuits. Such a universal set has been first proposed in quantum-optical setups, but its experimental implementation has remained elusive in that domain due to the difficulties in engineering strong nonlinearities. Here, we show that a realistic three-wave mixing microwave architecture based on the SNAIL [Frattini et al., Appl. Phys. Lett. 110, 222603 (2017)] allows us to overcome this difficulty. As an application, we show that this architecture allows for the generation of a cubic phase state with an experimentally feasible procedure. This work highlights a practical advantage of microwave circuits with respect to optical systems for the purpose of engineering non-Gaussian states, and opens the quest for continuous-variable algorithms based on few repetitions of elementary gates from the continuous-variable universal set.
Original languageEnglish
JournalPhys. Rev. Lett.
Publication statusPublished - 12 Oct 2020


  • quant-ph


Dive into the research topics of 'Universal Gate Set for Continuous-Variable Quantum Computation with Microwave Circuits'. Together they form a unique fingerprint.

Cite this