2014
DOI: 10.1103/physrevlett.113.223603
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Quantum non-Gaussian Depth of Single-Photon States

Abstract: We introduce and experimentally explore the concept of the non-Gaussian depth of single-photon states with a positive Wigner function. The depth measures the robustness of a single-photon state against optical losses. The directly witnessed quantum non-Gaussianity withstands significant attenuation, exhibiting a depth of 18 dB, while the nonclassicality remains unchanged. Quantum non-Gaussian depth is an experimentally approachable quantity that is much more robust than the negativity of the Wigner function. F… Show more

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Cited by 67 publications
(67 citation statements)
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References 33 publications
(58 reference statements)
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“…Wigner function negativity is a distinguishing property of all pure quantum non-Gaussian (QNG) states [46], including ideal single-photon states. However, while a strongly attenuated field is necessarily non-negative in the Wigner representation, QNG remains an unambiguous and efficient test of higher-order quantum behavior even for mixed or attenuated states [47]. Indeed, QNG is a sufficient condition for security in realistic models of discrete-variable QKD networks [48].…”
Section: Introductionmentioning
confidence: 99%
“…Wigner function negativity is a distinguishing property of all pure quantum non-Gaussian (QNG) states [46], including ideal single-photon states. However, while a strongly attenuated field is necessarily non-negative in the Wigner representation, QNG remains an unambiguous and efficient test of higher-order quantum behavior even for mixed or attenuated states [47]. Indeed, QNG is a sufficient condition for security in realistic models of discrete-variable QKD networks [48].…”
Section: Introductionmentioning
confidence: 99%
“…Quantum dots can emit single photons [1][2][3] as well as entangled photon pairs [4][5][6][7]. These photons and photon pairs are required for various quantum-enhanced tasks including linear optics quantum computation [8], quantum communication [9], and quantum sensing [10].…”
Section: Introductionmentioning
confidence: 99%
“…is the Wigner function of the single squeezed Gaussian state given by equation (13). When we substitute the expression for W sG , equation (36), together with the Weyl-Wigner symbol given by equation (11)…”
Section: Near-optimal Non-gaussian States: Superposition Of Two Squeementioning
confidence: 99%
“…This approach was further developed to identify the non-Gaussianity of a noisy single-photon state including multi-mode contributions to the signal as well, which requires detection of two output-photons without resolving photon numbers after a beam-splitting operation. This technique was experimentally realized to demonstrate quantum non-Gaussianity of an imperfect single-photon state possessing even a positive Wigner function [12] and to study the resilience of quantum non-Gaussianity under dissipation [13]. Moreover, [14] introduced an experimental criterion to identify quantum non-Gaussianity of multi-photon states of light.…”
Section: Introductionmentioning
confidence: 99%