Efficient construction of witnesses of stellar rank of nonclassical states of light

Abstract

The stellar hierarchy of quantum states of light classifies the states according to the Fock-state resources that are required for their generation together with unitary Gaussian operations. States with stellar rank n can be also equivalently referred to as genuinely n-photon quantum non-Gaussian states. Here we present an efficient method for construction of general witnesses of the stellar rank. The number of parameters that need to be optimized in order to determine the witness does not depend on the stellar rank and it scales quadratically with the number of modes. We illustrate the procedure by constructing stellar rank witnesses based on pairs of Fock state probabilities and also based on pairs of fidelities with superpositions of coherent states.

11 pages, 2 figures

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Cited by in corpus (10)

• Experimental preparation of multiphoton-added coherent states of light
• Holomorphic representation of quantum computations
• Genuine quantum non-Gaussianity and metrological sensitivity of Fock states prepared in a mechanical resonator
• Hierarchical Verification of Non-Gaussian Coherence in Bosonic Quantum States
• Generalized squeezing as a witness
• Catability as a metric for evaluating superposed coherent states
• Certification of stellar ranks of quantum states of light with a pair of click detectors
• Direct estimation of arbitrary observables of an oscillator
• Teleportation-based squeezer for bosonic cluster states
• Non-Gaussianity from superselection rules