Gaussian Conversion Protocols for Cubic Phase State Generation
Journal article, 2021

Universal quantum computing with continuous variables requires non-Gaussian resources, in addition to a Gaussian set of operations. A known resource enabling universal quantum computation is the cubic phase state, a non-Gaussian state whose experimental implementation has so far remained elusive. In this paper, we introduce two Gaussian conversion protocols that allow for the conversion of a non-Gaussian state that has been achieved experimentally, namely the trisqueezed state [Chang et al., Phys. Rev. X 10, 011011 (2020)], to a cubic phase state. The first protocol is deterministic and it involves active (inline) squeezing, achieving large fidelities that saturate the bound for deterministic Gaussian protocols. The second protocol is probabilistic and it involves an auxiliary squeezed state, thus removing the necessity of inline squeezing but still maintaining significant success probabilities and fidelities even larger than for the deterministic case. The success of these protocols provides strong evidence for using trisqueezed states as resources for universal quantum computation.

Author

Yu Zheng

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Oliver Hahn

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Pascal Stadler

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Patric Holmvall

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Isaac Fernando Quijandria Diaz

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Alessandro Ferraro

Queen's University Belfast

Giulia Ferrini

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

PRX QUANTUM

2691-3399 (eISSN)

Vol. 2 1 010327

Subject Categories

Computer Engineering

Computer Science

Computer Systems

DOI

10.1103/PRXQuantum.2.010327

More information

Latest update

8/16/2021