Skip to Main content Skip to Navigation
Journal articles

Stellar representation of non-Gaussian quantum states

Abstract : The so-called stellar formalism allows to represent the non-Gaussian properties of single-mode quantum states by the distribution of the zeros of their Husimi Q-function in phase-space. We use this representation in order to derive an infinite hierarchy of single-mode states based on the number of zeros of the Husimi Q-function, the stellar hierarchy. We give an operational characterisation of the states in this hierarchy with the minimal number of single-photon additions needed to engineer them, and derive equivalence classes under Gaussian unitary operations. We study in detail the topological properties of this hierarchy with respect to the trace norm, and discuss implications for non-Gaussian state engineering, and continuous variable quantum computing.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-02316973
Contributor : Ulysse Chabaud <>
Submitted on : Tuesday, October 15, 2019 - 4:59:42 PM
Last modification on : Monday, March 2, 2020 - 8:39:17 AM

Links full text

Identifiers

Citation

Ulysse Chabaud, Damian Markham, Frédéric Grosshans. Stellar representation of non-Gaussian quantum states. Physical Review Letters, American Physical Society, 2020, ⟨10.1103/PhysRevLett.124.063605⟩. ⟨hal-02316973⟩

Share

Metrics

Record views

64