Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

Gaussian conversion protocols for cubic phase state generation: Part 2

Yu Chuan Zheng, Oliver Hahn, Pascal Stadler, Patric Holmvall, Isaac Quijandria Diaz, Alessandro Ferraro, Giulia Ferrini

Published Mar 18, 2021• 0 citations
OpenAlex

Related papers

Gaussian conversion protocols for cubic phase state generation: Part 1

Oliver Hahn, Yu Chuan Zheng, Pascal Stadler +4 more

Bulletin of the American Physical Society•Mar 18, 2021•0 citations

Superposition of new phase states: generation and properties

Adriano Aragão, Paula B. Monteiro, Ardiley Torres Avelar +1 more

Physics Letters A•Feb 18, 2005•4 citations

Gaussian Conversion Protocols for Cubic Phase State Generation

Yu Chuan Zheng, Oliver Hahn, Pascal Stadler +4 more

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.

arXiv:2007.03295•PRX Quantum•Feb 19, 2021•34 citations

Deterministic Gaussian conversion protocols for non-Gaussian single-mode resources

Oliver Hahn, Patric Holmvall, Pascal Stadler +2 more

In the context of quantum technologies over continuous variables, Gaussian states and operations are typically regarded as freely available, as they are relatively easily accessible experimentally. In contrast, the generation of non-Gaussian states, as well as the implementation of non-Gaussian operations, pose significant challenges. This divide has motivated the introduction of resource theories of non-Gaussianity. As for any resource theory, it is of practical relevance to identify free conversion protocols between resources, namely, Gaussian conversion protocols between non-Gaussian states. Via systematic numerical investigations, we address the approximate conversion between experimentally relevant single-mode non-Gaussian states via arbitrary deterministic one-to-one mode Gaussian maps. First we show that cat and binomial states are approximately equivalent for finite energy, while this equivalence was previously known only in the infinite-energy limit. Then we consider the generation of cat states from photon-added and photon-subtracted squeezed states, improving over known schemes by introducing additional squeezing operations. The numerical tools that we develop also allow one to devise conversions of trisqueezed into cubic-phase states beyond previously reported performances. Finally, we identify various other conversions which instead are not viable.

arXiv:2204.03373•Physical Review A•Jun 27, 2022•6 citations

On the generation of the phase state

Y. Guimarães, B. Baseia, Celso J. Villas-Bôas +1 more

Physics Letters A•Apr 1, 2000•20 citations

Phase Conjugation: Techniques and Applications

Concetto R. Giuliano, David A. Rockwell

NATO ASI series. Series B : Physics•Jan 1, 1985•0 citations
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.
In the context of quantum technologies over continuous variables, Gaussian states and operations are typically regarded as freely available, as they are relatively easily accessible experimentally. In contrast, the generation of non-Gaussian states, as well as the implementation of non-Gaussian operations, pose significant challenges. This divide has motivated the introduction of resource theories of non-Gaussianity. As for any resource theory, it is of practical relevance to identify free conversion protocols between resources, namely, Gaussian conversion protocols between non-Gaussian states. Via systematic numerical investigations, we address the approximate conversion between experimentally relevant single-mode non-Gaussian states via arbitrary deterministic one-to-one mode Gaussian maps. First we show that cat and binomial states are approximately equivalent for finite energy, while this equivalence was previously known only in the infinite-energy limit. Then we consider the generation of cat states from photon-added and photon-subtracted squeezed states, improving over known schemes by introducing additional squeezing operations. The numerical tools that we develop also allow one to devise conversions of trisqueezed into cubic-phase states beyond previously reported performances. Finally, we identify various other conversions which instead are not viable.