Statistical signatures of multimode single-photon added and subtracted states of light

Abstract

The addition or subtraction of a photon from a Gaussian state of light is a versatile and experimentally feasible procedure to create non-Gaussian states. In multimode setups, these states manifest a wide range of phenomena when the photon is added or subtracted in a mode-tunable way. In this contribution, we derive the truncated correlations, which are multimode generalisations of cumulants, between quadratures in different modes as statistical signatures of these states. These correlations are then used to obtain the full multimode Wigner function, the properties of which are subsequently studied. In particular we investigate the effect of impurity in the subtraction or addition process, and evaluate its impact on the negativity of the Wigner function. Finally, we elaborate on the generation of inherent entanglement through subtraction or addition of a photon from a pure squeezed vacuum.

27 pages (incl. appendix), 6 figures

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Cited by in corpus (8)

• Resources for bosonic quantum computational advantage
• Mode-independent quantum entanglement for light
• Decoherence and nonclassicality of photon-added/subtracted multi-mode Gaussian states
• Global Entanglement Distribution with Multi-mode Non-Gaussian Operations
• Optimal entanglement enhancing via conditional measurements
• Orbital angular momentum-enhanced phase estimation using non-Gaussian state with photon loss
• Exploring the possibility of a complex-valued non-Gaussianity measure for quantum states of light
• Steady-state tripartite non-Gaussian entanglement and steering in output field from intracavity triple-photon parametric downconversion